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Chapter 10: Q. 64 (page 599)

Use the following information to answer the next five exercises. A study was conducted to test the effectiveness of a software patch in reducing system failures over a six-month period. Results for randomly selected installations are shown in Table 10.21. The 鈥渂efore鈥� value is matched to an 鈥渁fter鈥� value, and the differences are calculated. The differences have a normal distribution. Test at the 1% significance level.

State the null and alternative hypotheses.

Short Answer

Expert verified

By applying null and alternative hypotheses,

H0:渭d鈮�0H0:渭d<0

Step by step solution

01

Given information

The given table is

02

Find out what the null and alternative hypotheses are.

The mean number of system failures before installations are 渭before

Also, the mean number of system failures after installations are localid="1652944633228" 渭after

So, the null and alternative hypothesis is given below,

H0:渭after-渭before鈮�0H1:渭after-渭before<0

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Use the following information to answer the next five exercises. A study was conducted to test the effectiveness of a software patch in reducing system failures over a six-month period. Results for randomly selected installations are shown in Table 10.21. The 鈥渂efore鈥� value is matched to an 鈥渁fter鈥� value, and the differences are calculated. The differences have a normal distribution. Test at the 1% significance level.

What is the p-value?

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State the null and alternative hypotheses.

a. H0:

b. Ha :
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