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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

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

Use the following information to answer next five exercises. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the 1% significance level.

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101. Elizabeth Mjelde, an art history professor, was interested in whether the value from the Golden Ratio formula, larger + smaller dimensionlarger dimensionwas the same in the Whitney Exhibit for works from 1900 to 1919 as for works from 1920 to 1942 . Thirty-seven early works were sampled, averaging 1.74 with a standard deviation of 0.11. Sixty-five of the later works were sampled, averaging 1.746 with a standard deviation of 0.1064. Do you think that there is a significant difference in the Golden Ratio calculation?

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.

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Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

Sketch a graph of the situation. Label the horizontal axis. Mark the hypothesized difference and the sample difference. Shade the area corresponding to the p-value.
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