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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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Most popular questions from this chapter

95. A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were \(947 and \)1,011, respectively. The population standard deviations are known to be \(254and \)87, respectively. Conduct a hypothesis test to determine if the means are statistically the same.

The average worker in Germany gets eight weeks of paid vacation.

Indicate if the hypothesis test is for :-

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

Use the following informotion to answer the next five exercises. The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.

What is the test statistic?

Use the following informotion to answer the next five exercises. Two metal alloys are being considered as material for ball bearings. The mean melting point of the two alloys is to be compared. 15 pieces of each metal are being tested. Both populations have normal distributions. The following table is the result. It is believed that Alloy Zeta has a different melting point.

Draw the graph of the p-value.

An experiment is conducted to show that blood pressure can be consciously reduced in people trained in a "biofeedback exercise program." Six subjects were randomly selected and blood pressure measurements were recorded before and after the training. The difference between blood pressures was calculated (after - before) producing the following results: x炉d=-10.2sd=8.4. Using the data, test the hypothesis that the blood pressure has decreased after the training.

The distribution for the test is:

a.t5

b.t6

c.N(-10.2,8.4)

d.N-10.2,8.46
See all solutions

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