( tf tm s: 1~:k..* 97 ,w. :..r..:r-if-Jt Jt ,b~ 1'1 A j ~u. c=r df .~ 1J' it..1\0441-2

(1)

( ^tf ^tm ^s: ^1~:k..* ⁹⁷ ^,w. ^:..r..:r- ^if- ^Jt ^Jt ^,b~ ^{1'1 A} ^j ^~u. ^c=r ^{df .} ^~ ^1J' ^it.. ^1\0441-2

fJi ... t

^h!l

!ill rtj<. A "" ^l£ ^Lff-*

^?'r:

^f'fT

;t;

J'frUR)hIJ . _~ * ^J.E j~ ^rg" ^fu T . . I :If ^7,i\ 1+ ^{F-l : .'} ^c.

^u

^-r

:r- ," ) . ./ I (\

: ...; ,-'. () r

- . . (50%) Single or Multiple choices:

( 5%) 1.

The multiple coefficient of determination. R

²^•

is

a. the ratio of the unexplained sum of squares to the total sum of squares.

b. the ratio of SSR to Total SS

c. not of much use in appraising a regression relationship.

d. can range from 0 to + I.

( 5%) 2.

The sampling distribution of a statistic

a. is the same as the sampling distribution of a parameter.

b. may be found mathematically or approximated empirically.

c. is always approximately a normal distribution.

d. can be found . by using a computer.

( 5%) 3.

Tile coefficient of variation is a. a measure of absolute variation.

b. a measure of relative variation.

C.

a measure of central tendency.

U. a measure of unitless .

(5%) 4.

Of the following, the one that is a property of the F distribution is a. F distributions are nonsymmetrical.

b. F distributions have

7! -

I degrees of freedom.

c. F can assume only positive values.

d. there arc many F distributions and each has a different shape.

(5%) 5.

In a completely randomized experiment.

a MSE is approximately equal to MST if Ho ^{is true.}

b. MSE is approximately equal to MST if' flo is false.

c. MST usually has a greater number of degrees of freedom than MSE.

d. 1vlST can be less than MSE.

( 5%) 6.

II' ,,\.·,'I\h

X and Yare independent. then

(2)

VI

me rouowing, tile one that is ^a property of the F distribution is a. F distributions arc nonsymmetrical.

b. F distributions have n - I degrees of freedom.

c. F can assume only positive values.

d. there are many F distributions and each has a different shape.

( 5%) 5.

In a completelv randomized experiment.

a. MSE is approximately equal to MST if fI o is true.

b. MSE is approximately equal to MST if fIl) is false.

c. MST usually has a greater number of degrees of freedom than MSE.

d. MST can be less than MSE.

(5%) 6.

I t" events .\ and Yare independent. then

l'\i'.\}

~

P\Z) a.

b. J-'P'jX)

^s.:

PO'}

1:.

P\i·:.':)

..=.

['\X}

d. PtXY)

=0

0 P(Xy)'=o P(XlXP(Y) e.

(5% )7.

A confidence interval for the equality of population variances was .63 < (af/ai) < 2.75; therefore.

a. one should conclude that the variances are not equal since 0 is not in the interval.

b. one should conclude that the variances are not equal because both values are greater than O.

c. one should conclude that the variances are equal because 1 is in the interval.

d. the researcher should now test the hypothesis that the variances are equal.

(5% ).8

I f you calculated a least-square line and it turned out that {Jo

=0

{II>

a. it would be obvious that your linear expression is the optimal one for the set of data.

b. the regression line must have a positive slope.

c. s must be equal to zero.

d. it would only be a coincidence and nothing more than that.

~*- ~ ~ ~ ⁱⁱⁱ ^(p 411 ^.11'1 I~ ^I J{~4J{1

(3)

9.7 t~1 ~ m:. ~ft ^J ^m ^J? ^'-l' ^N04-47-2

t _~5t1G- ^~ ^.,/JL ^JJI ^A. ^~ ^Aj ^1~"

~ ll'_~

/.'.. ^-'!l.'- :f!..

^:J\I}p~

rk

',~

f.t. _..

_~c.;;

..-t)JJ.

~

^'il'

~ ;r- 15

^J-.:£, ^'I

^JI.; P" ^'+

~ fjfUlL))jIJ df "t;l~A+ EJ

( 5% ) 9.

I f one is making a two-tailed test and the value of the r test statistic is - 11.12. a correct conclusion from th is is

a do not reject No

b. a Type 11 error has been made.

c. reject fI a

d. reject fI a at the .05 level

(5%) 10.

A government agency conducts a study on the performance of two makes of cars in a similar price range, Accord and 626. Random samples of 25 cars of each make were obtained and the miles per gallon (mpg) for each car was observed. Suppose the 98% confidence interval for the difference between the mean mpg of the Accord and 626 was (-0.5 mpg. 9.5 mpg). (This is not a correct answer.

but assume it is). Pick the most appropriate conclusion based on this interval.

a. Since the confidence interval contains O.,there is no difference in the mean mpg for Accord and 626.

b. We are 98% confident that both cars have a mean mpg of less than 12.0.

c. At this confidence level, there is insufficient evidence to infer that there is a difference in the mean mpg between Accord and 626.

d. Since the interval is of length 10.0, we are 98% confident that Accord gets (0 mpg more on the average than 626.

e. We are 98% confident that the mean mpg for 626 is 9.5.

IUse SOlo level of significance for the necessary testing in problem 1-3.1

- ,

7

^{0 /}^/0

I. How does the coefficient of correlation measure the strength of the linear relationship between two variables y and x?

7% 2. Suppose that customers can purchase one of three brands (A, B, C) of milk at a supermarket. In a marketing study, a record is made of a sample of n=300 milk purchases.

The purchases for brand A, B, C are 78, 117 and 10S, respectively. Do you think the data

provide sufficient evidence to indicate a preference for one or more brands?

(4)

jUse 5% level of significance for the necessary testing in problem 1-3.1 - " -

7% I. How does the coefficient of correlation measure the strength of the linear relationship between two variables y and x?

7% 2. Suppose that customers can purchase one of three brands (A, B, C) of milk at a supermarket. In a marketing study, a record is made of a sample of n=300 milk purchases.

The purchases for brand A, B, C are 78, 117 and 105, respectively. Do you think the data provide sufficient evidence to indicate a preference for one or more brands?

36% 3.

5% (a)Suppose that you wish to compare the means of six populations based on independent random samples, each of which contains ten observations. Insert in an ANOYA table the sources of variation and their respective degrees of freedom.

7% (b)Refer to (a) above, the values of Total SS and SSE for the experiment are Total SS=21.4 and SSE=16.2. Complete theANOYA table.

7% (c)ls there any significant difference among the population means?

5% (d)The sample means corresponding to populations 1 and 2 are X ,=3.07, and X 2=2.52.

Find a 95% confidence interval for

{.11.

7% (e)Refer to (d) above, the sample means corresponding to populations 1 and 2 are

X 1=3.07, and X 2=2.52. Find a 95% confidence interval for the difference

({.11- {.12).

5% (f)What assumptions must be made in (a)-(e).

*- ^i;t. ^"! ^~ 1~2.1i~4- III

XJ.. til (p .lM

(5)

TABLE

CriticalValu., of F. II

'~rl

Ha. ".. to:) F v, =: df,numerator v; =:

dr.

dtnominator 2 J 5 9 10 12 15 20 24 30 40 60 120 I 161.4 199.5 215.7 224.6 230.2 234.0 236.8 238.9 2405 241.9 243.9 2'\.9 248.0 249.1 250.1 251.1 252.2 253,) 250 '. 2 3

•

5 6 18.51 10.13 1.71 6.61 5.99 19.00 9.55 6.94 5.79 5.14 19.16 9.28 6.59 5.41 4.16 19.25 9.12 6.39 5.19 4.53 19.30 9.01 6.26 5.05 4.39 19.33 8.94 6.16 4.95 4.18 19.JS 8.89 6.09 4.88 ".21 19.31 8.85 6.04 4.B2 4.15 19.38 8.81 6.00 4.71 4.10 lMO 8.79 5.96 4.7~ 4.06 19.41 8.14 5.91 4.6B 4.00 19.43 8.10 5.86 4.62 3.94 19.45 8.66 5.80 4.56 3.87 19.45 8.64 5.71 4.53 ).R4 19.46 8.62 5.75 4.50 3.Bl 19.41 8.59 5.n 4.46 3.77 19.48 8.51 5.69 4.4) l.7.l1 1949 8.55 5.66 ".400 3.70 19.50 8.53 5.63 4.36 3.61

~I;'\ ~ ..--..

1 5.59 4."14 4.35 4.\2 3.97 3.B1 3.19 3.13 3.fiB 3.t).. 3.57 3.51 3.... 3.4' 3.38 3.34 3.30 3.27 3.23

~

8 9 10 II

5.32 5.12 4.96 11.84 4.46 4.26 4.10 3.98 4.07 3.86 J.lI 3.59 3.84 3.63 3.48 3.36 3.69 3.48 3.33 3.20 3.58 3.J1 3.22 3.09 3.50 l.29 3.14 3.01 3.44 3.23 l.07 2.95 3.39 3.18 3.02 2.90 3.35 3.14 2.98 2.85 3.28 3.07 2.91 2.79 3.22 3.01 2.85 2.12 3.15 2.94 2.11 2.65 3.12 2.90 2.14 2.61 3.08 2.86 2.70 2.51 3.04 2.83 2.66 2.53 3.01 2.79 2.62 2.49 2.91 2.75 2.58 2.45 2.93 2.11 U4 2.40

'-"" ~ ...:.. 12 4.15 3.89 3.49 3.26

r.u

2.00 2.91 2.85 2.80 2.15 1.69 2.62 2.54 2.51 2.47 2.43 2.38 2.34 2.)0

0.09

13 14 4.61 4.60 3.81 3.14 3.41 3.34 l.18 3.11 3.03 2.96 2.92 2.05 2.83 2.16 2.77 2.10 2.11 2.65 2.61 2.60 2.60 2.53 2.53 2.46 2.4fi 2.39 2.42 2.l5 2.l8 2.31 2.34 2.27 2.30 2.22 2.25 2.18 2.21 2. !l

~

0.0000 0.0001 0.0001 0.0001

15 16 17 18 19

4.5' '-.49 4.45 ... l 4.38 H8 1.6l 3.59 3.~S 3.52 3.29 1.2' 3.20 3.16 3.13 3.06 3.01 2.96 2.9l 2.90 2.90 2.85 2.81 2.71 2.14 2.19 2.14 2.10 2.66 2.63 2.11 2.66 2.61 2.58 2.54 2.6' 2.59 2.55 2.51 2.48 2.59 2.54 2.49 2.'6 2.42 254 2.49 1.45 2.41 2.38 2.48 2.42 2.l8 2.l' 2.31 2.40 2.l5 2.31 2.21 2.11 2.11 2.28 2.23 2.19 2.16 2.29 2.24 2.19 2.15 2.11 2.25 2.19 2.15 2.11 2.07 2.20 2.15 2.10 2.06 2.0l 2.16 2'" 2.0fi 2.02 1.98 2.11 2.06 2.01 1.91 1.93 2.01 2.01 1.96 1.92 1.88

~ ,r \;-> -ij-

0.0002 0.0002 0.0003

20 21 22 23

4.l5 4.32 4.l0 4.28 3.49 3.<1 l.44 3.42 3.10 3.07 l.05 l.Ol 2.81 2.84 2.82 2.80 2.11 2.68 2.66 2.&4 2.60 2.57 2.55 2.5l 2.51 2.49 2.46 2.44 2.45 2.42 2.40 2.31 2.39 2.l7 2.l4 2.32 2.l5 2.32 2.30 2.21 2.28 2.25 2.2l 2.20 2.20 2.18 2.15 2.13 2.12 2.10 2.01 2.05 2.08 2.05 2.0l 2.01 2.04 2.01 1.98 1.96

\.99 1.96 1.94 1.91 1.95 1.92 1.89 1.86 1.90 1.81 1.84 1.81 1.84 1.81

I.n

1.16

~ , . w.1~ ~ >4.

0.0005 0.0007

24 25 26

4.26 4.24 4.23 l.40 l.39 3.l1 3.0\ 2.99 2.98 2.78 2.16 2.74 2.62 2.60 2.59 2.51 2.49 2.41 2.42 2.40 2.l9 2.l6 2.34 2.l2 2.30 2.28 2.21 2.25 2.24 2.22 2.18 2.16 2.15 2.11 2.09 . 2.01 2.03 2.01 1.99 1.98 1.96 1.95 1.94 1.92 1.90 1.89 1.81 1.85 1.84 1.82 \.80 1.79 1.11 1.15 1.1l 1.11 1.69

YiS ~

~

C'

0.0010 0.0014 0.0019

21 28 29 30

4.21 4.20 4.18 4.11 l.35 3.34 3.33 l.32 2.96 2.95 2.93 2.92 2.13 2.71 1070 2.69 2.51 2.56 2.55 2.53 2.46 2.45 2.43 2.42 2.31 2.36 2.35 2.33 2.31 2.29 2.28 2.27 2.25 2.24- 2.12 2.21 2.20 _ 2.19 2.18 2.16 2.1l 2.12 2.10 2.09 2.06 2.04 2.03 2.01 1.91 1.96 1.94 1.93 1.93 1.91 1.90 1.89 1.88 1.81 1.85 1.84 1.84 1.82 1.81 1.19 1.19 1.11 1.15 1.74 1.13 1.71 1.10 1.68 1.67 1.65 1.&4 1.62

?-* ~ >+ il:

0.0026 40 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18 2.12 2.08 2.00 1.92 1.8' 1.19 1.14 1.69 1.&4 1.5B 1.51 0.0036 0.0048

60 120 4.00 3.92 3.84 3.15 3.01 3.00 2.76 2.68 2.60 2.53 2.'5 2.31 2.37 2.29 2.2\

2.25 2.11 2.10 2.17 2.09 2.01 2.10 2.02 1.9' 2.04 1.96 1.88 1.99 1.91 1.83 1.92 1.83 1.75 1.84 1.15 1.67 1.15 1.66 1.57 1.10 1.61 1.52 1.65 1.55 1.46 1.59 1.50 1.39 1.53 1.43 \.)2 1.47 US 1.22.

1.39 1.25 1.00 0.0064

CO

0.0084

-.J

0.0110 0.0143 0.0183 0.0233 0.0294 0.0367

I TABLE

I I

l~lO11

0 F(o. 1'1' ",) F

.. ~ 'G11\. ;:+.-

iF "* ~

0.0455 0.0559

v,

= dO" numerator ~

-T=-

0.0681

v,

= df,

mJ ~

0.0523 drnominatDf 1 2 3 4 5 7 9 10 12 15 20 24 30 40 60 120 0.0985 1 641.8 199.5 864.2 899.6 921.8 931.1 948.2 956.1 963.3 968.& 976.1 984.9 993.1 991.2 1001 1006 1010 1014 1018

~

0.11iO 0.1379 0.1611 0.1867 0.2148 0.2451 0.2776 0.3121 0.3483

2 3 4 5 6 1 8 9 10 11 12 lJ

38.51 11.... 12.22 10.01 8.81 8.01 1.51 1.21 6.94 6.12 6.55 6.41 39.00 16.04 10.65 8.43 1.26 6.54 6.06 5.11 5.46 5.26 5.10 4.91

39.11 15.44 9.98 1.16 6.60 5.89 5.42 5.08 4.83 4.6l 4.41 05

39.25 15.10 9.60 1.39 6.23 5.52 5.05 4.12 4.41 4.2R 4.12 4.00 39.30 14.88 9.3b 1.15 5.99 5.29 4.82 4.48 4.24 4.04 J.89 3.11 39.JJ J9.36 103 14.62 9.20 9.01 6.98 6.85 5.82 5.10 5.12 4.99 4.65 -4.53 4.l2 4.20 4.01 l.95 3.88 3.16 3.13 J.61 J.GO 3.48 39.J1 14.54 8.98 6.16 5.60 4.90 4.43 4.10 3.85 3.66 3.51 J.39 J9.39 14.41 8.90 6.G8 5.52 >4.82 06 4.03 3.18 3.59 3.44 3.31

39.40 14.42 8.84 6.62 5.46 4.16 00 J.96 3.12 3.53 3.J1 3.25

39.41 14.34 8.75 6.52 5.31 4.61 4.20 J.81 3.62 3.4J J.28 J.15 39.4l 14.25 8.66 6.43 5.21 4.51 4.10 3.77 3.52 J.JJ 3.18 3.05

39.45 14.11 8.56 6.D 5.11 4.41 4.00 3.61 3.42 J.23 J.01 2.95

39.46 14.12 8.51 6.28 5.12 4.42 3.95 3.61 3.31 3.11 3.02 2.69 39.46 14.08 8.46 6.23 5.01 4.36 3.89 3.56 3.Jl J.12 2.9fi 2.64 J9.41 14.04 8.41 6.\8 5.01 4.31 3.84 1.5\ J.26 3.06 2.9\ 2.18 39.48 13.99 8.36 6.1l 4.96 4.25 3.18 3.45 3.20 3.00 2.85 2.12 39.49 1J.95 8.31 6.01 4.90 4.20 J.13 J.19 l.14 2.94 2.19 2.66 39.50 13.90 8.1G 6.02 4.65 4.14 3.fi1 3.J3 3.08 2.00 2.12 2.60

~

C'

~ +}:

)-i'\ >' il: J.\t e ..\, ~

0.3859

"

6.30 4.86 4.24 J.69 3.66 l.50 3.38 J.29 3.21 3.15 3.05 2.95 2,8-4 2.19 2.73 2.61 2.61 2.5:; 2.49 0.4247 0.4641

15 16 11

6.20 6.12 6.04 4.11 4.69 4.62 4.15 4.08 4.01 3.80 3.7J 3.66 3.58 J.50 3.«

3.41 3.J4 J.28 3.29 3.22 3.16 J.70 3.12 J.06 J.12 J.05 2.98 3.06 2.99 2.92 2.96 2.89 2.82 2.86 2.19 2.72 2.16 2.611 2.62 2.70 2.6J 2.56 2.64 2.51 2.50 2.59 2.51 2.44 2.52 2.45 2.36 2.'6 2.38 2.32

2.40 2.32 2.25 18 19 20 21

5.98 5.92 5.81 5.83 4.56 4.51 446 4.42 B5 3.90 3.86 3.02 3.61 3.56 J.5\ 3.48 3.38 3.33 3.29 3.25 3.22 3.11 3.13 3.09 J.IO 3.05 3.01 2.91 3.01 2.96 2.9\ 2.87 2.9J 2.88 2.84 2.80 2.87 2.82 2.71 2.13 2.71 2.72 2.68 2.b4 2.61 2.62 2.51 2.53 2.56 2.51 2.46 2.42 .2.50 2.45 2.41 2.31 2.44 2.39 US 2.)1 2.J8 2.JJ 2.29 2.25 2.32 2.21 2.22 2.18 2,26 2.20 2.16 2.11 2.19 2.1J 2.09 2.04

%

s=:

I

... .... ,

22 5.19 4.38 J.18 3.« 3.22 ).05 2.93 2.84 2.16 2.10 2.60 2.50 2.39 2.JJ 2.21 2.21 2.14 2.08 2.00 N 23 5.75 4.H 3.15 ).4\ 3.18 3.02 2.90 2.81 2.73 2.61 2.51 2.41 2.36 2.30 2.24 2.18 2.11 2.04 1.91 24 5.72 4.32 3.12 3.38 3.15 2.99 2.81 2.18 2.70 2.6' 2.54 2.« 2.J) 2.21 2.21 2.15 2.08 2.01 1.94 25 5.69 4.29 J.69 3.35 3.1J 2.91 2.8!r 2.75 2.68 2.61 2.51 2.41 2.)0 2.24 1.18 2.12 2.05 1.98 1.91 26 H'6 4.21 3.67 3.JJ 3.10 2.94 2.82 1.73 2.65 1.59 2.49 2.J9 2.28 2.22 2.16' 2.09 2.03 1.95 1.08 27 5.U 4.24 J.65 3.) I 3.08 2.92 2.80 2.11 2.63 2.57 2.41 2.3fi 2.25 . 2.19 2.13 2.01 2.00 1.93 1.85 28 5.61 4.22 3,63 3.29 3.06 2.9U 2.18 2.69 2.61 2.55 2.04S 2.34 2.23 ' 2.11 2.11 2.05 1.98 1.91 1.8J 29 30 5.59 5oS1 4.20 4.18 J.61 3.59 3.21 3.25 l.04 3.03 2.88 2.87 2.16 2.15 2.67 2.65 2.59 2.51 2.53 2.51 2.' ) 2.41 2.31

i.n

2.21 2.20 2.15 2.14 2.09 2.01 2.03 2.01 1.96 1.94 1.89 1.01 1.8\ 1.19 40 60 120

5.42 5.29 5.15 5.02 4.05 3.93

UO

3.69 3.46 J.J4 3.23 3.\2 3.1l 3.0\ 2.89 2.79 2.90 2.19 2.61 2.51 2.74 2.6) 2.52 2.41 2.62 2.51 2.39 2.19 2.5) 2.41 2.30 2.19 2.45 2.33 2.21 2.11 2.39 2.21 2.16 2.05 2.29 2.11 2.05 1.94 2.18 2.06 1.94 1.83 2.01 1.9' 1.81 1.1\

2.01 1.08 1.76 1.64 1.94 1.61 1.69 1.51 1.88 1.14 1.61 1.48 _________________

1.80 U1 \.5) 1.)9 1.11 1.58 1.43 1.17 ).&4 1.40 I.J 1 1.00 ____---.---'W

(6)

TlUI.E 3 Sc",,,lllrtl

~"rIllJlI

Toblr

TABLE

Critical V"uos of F.

v,

c

at. U

drnominJlor 2J \ 161.4 199.5 215.7 22 2 18.5\ 19.00 19.16 I 3 10.13 9.55 9.28

•

7.71 6.9. 6.59 5 6.61 5.79 5.• ' 6 5.99 5.1. •. 76 7 5.59 O. '.35 8 5.32 4.'6 '.07 PC, <:1 9 \.\2 '.26 3.86 10 '.96 '.\0 3.71 11 ".8~3.98 3.59

Second Decimal Place

12 •. 75 3.89 3.'9 13 '.67 3.81 3.'1

0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 =

l' '.60 3.74 3.3'

I -3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

15

..

\. 3.68 3.29

~~

16 (,49 3.63 3.2'

-3.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001

17 '.'5 3.59 3.20

-3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001. 0.0001 0.0001

18 •. ~13.55 3.16

~Y' -3.6 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001

19 '.38 3.52 3.13 20 '.35 3.'9 3.10

·3.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002

2\ 02 3.47 3.07 -3,4

0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002

22 3.0\00 3."

~~ ·3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003

23

'.28

M2 3.03

. ,

2' '.26 3.'0 3.0\.,J._

0.0007 0.0007 0.0006 0.0006 0.0006· 0.0006 0.0006 0.0005 0.0005 0.0005

25 •. 2. 3.39 2.99

~~ 0.0008

26 •. 23 3.37 2.98

·3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 . 0.0008 0.0007 0.0007

..:. '

·3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010

27 '.21 3.35 2.96 28 ••20 3.34 2.95 ...2.9

0.0019 0.0018 0.'>018 0.0017 . 0.0016 0.0016 0.0015 0.0015 . 0.0014 0.0014

29 •. 18 3.33 2.93

·2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019

30 '.17 3.32 2.92

·2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026

.0 '.08 3.23 2.8' 60 '.00 3.15 2.76

t1Hl

I

.2.6 0.0047 0.0045 0.0044 0.0043 0.0041 '0.0040 0.0039 0.0038 0.0037 0.0036

120 3.92 3.07 2.68

\N ·2.5 0.0062 . 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 . 0.0051 0.0049 0.0048

3.84 3.00 2.60

·2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 )In(

-2.3

0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084

-2.2

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