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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 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?

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 (鈫�)to TESTS.

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

Step 6: Use the arrow (鈫�)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.

Are standard deviations known or unknown?

Repeat the test in Exercise 10.83, but this time combine the data from Laps 1 and 5.

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?

A golf instructor is interested in determining if her new technique for improving players鈥� golf scores is effective. She takes four (4) new students. She records their 18-hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. The data are as Table 10.37.

Player 1Player 2Player 3Player 4Mean score before class83789387Mean score after class80808686

This is:

a. a test of two independent means.

b. a test of two proportions.

c. a test of a single mean.

d. a test of a single proportion.

A study is done to determine if students in the California state university system take longer to graduate than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. From years of research, it is known that the population standard deviations are 1.5811 years and one year, respectively.

Indicate which of the following choices best identifies the hypothesis test.

a. Independent group means, population standard deviation and/or variances known

b. Independent group means, population standard deviation and/or variances unknown

c. Matched or paired samples.

d. Single mean

e. Two proportions.

f. Single proportion.
See all solutions

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