g79. Consider the t est of Ho\' d 5 agoi nst H F5·what are the critical values f

Question

g79. Consider the t est of Ho' d 5 agoi nst H F5·what are the critical values for the test statistic for the following significance levels (a) a o0/ and n 20 (b) 0.05 and n=12 (c) a o.1O and n /5 and sample sizes? 9-62. Consider the ny pothesis test of Hoi '- 5oganst Hi d 5. Approximate the Pvalue for each of the following test statistics. (a) 25.2 and n 20 (c) 4.2 5 and n=1. 5. Reconsider the percentage of titanium in an alloy used in aerospace costings from Exercise 6-52. Recall that s O.37 and n 5.

Explanation / Answer

9-79)

a)

degrees of freedom = n – 1 = 20-1 = 19

alpha = 0.01

From X2 table,

X2Critical = 36.19

b)

degrees of freedom = n – 1 = 12-1 = 11

alpha = 0.05

From X2 table,

X2Critical = 19.68

b)

degrees of freedom = n – 1 = 15-1 = 14

alpha = 0.10

From X2 table,

X2Critical = 21.06

9-82)

a)

degrees of freedom = n – 1 = 20-1 = 19

X2 = 25.2

Using Chi-Square table, we see that pvalue lies in the range: (0.1,0.9)

But we will use R software to get the exact value using the command:

1-pchisq(25.2,19)

So, p-value = 0.154

b)

degrees of freedom = n – 1 = 12-1 = 11

X2 = 15.2

p-value = 0.174

c)

degrees of freedom = n – 1 = 15-1 = 14

X2 = 4.2

p-value = 0.994

9-85)

Question is incomplete… Need details from 8-52 as well

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