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Chapter 10: Q. 65 (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 “before” value is matched to an “after” value, and the differences are calculated. The differences have a normal distribution. Test at the 1% significance level.

What is the p-value?

Short Answer

Expert verified

The required p-value is 0.00669.

Step by step solution

01

Given information

The given table is

02

Find the value of p?

Test using TI-83+calculator applying the steps below:

Step 1: To run the Setup Editor command, press STAT followed by 5 and then ENTER.

Step 2: To open the Stat List editor, press STAT followed by 1.

Step 3: Go to the name in the third list and enter the list for before and after values. Then enter L2-L1then press ENTER after each value. The data is:

Step 4: Again press STAT and then the arrow (→)to TESTS.

Step 5: Next press the arrow (↓)to 2 : T-Test then press enter.

Step 6: Use the arrow (→)to DATA and again press enter.

Step 7: Finally press the arrow (?) and enter the inputs :

Step 8: Lastly press the arrow (?) to calculator and press enter key. The output is:

The p-value is 0.00669

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Most popular questions from this chapter

Use the following information to answer the next three exercises: A study is done to determine which of two soft drinks has more sugar. There are 13 cans of Beverage A in a sample and six cans of Beverage B. The mean amount of sugar in Beverage A is 36 grams with a standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 38 grams with a standard deviation of 0.8 grams. The researchers believe that Beverage B has more sugar than Beverage A, on average. Both populations have normal distributions.

Is this a one-tailed or two-tailed test?

Two samples are shown in Table 10.2. Both have normal distributions. The means for the two populations are thought to be the same. Is there a difference in the means? Test at the 5% level of significance.

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Which distribution (normal or Student's t) would you use for this hypothesis test?

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Use the following information to answer the next 15 exercises: 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

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e. two proportions

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A sample of 12 in-state graduate school programs at school A has a mean tuition of \(64,000 with a standard deviation of \)8,000. At school B, a sample of 16 in-state graduate programs has a mean of \(80,000 with a standard deviation of \)6,000. On average, are the mean tuitions different?
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