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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

89. Suppose a statistics instructor believes that there is no significant difference between the mean class scores of statistics day students on Exam 2 and statistics night students on Exam 2. She takes random samples from each of the populations. The mean and standard deviation for 35 statistics day students were 75.86 and 16.91. The mean and standard deviation for 37 statistics night students were 75.41 and 19.73. The "day" subscript refers to the statistics day students. The "night" subscript refers to the statistics night students. A concluding statement is:
a. There is sufficient evidence to conclude that statistics night students' mean on Exam 2 is better than the statistics day students' mean on Exam 2.
b. There is insufficient evidence to conclude that the statistics day students' mean on Exam 2 is better than the statistics night students' mean on Exam 2.
c. There is insufficient evidence to conclude that there is a significant difference between the means of the statistics day students and night students on Exam 2.
d. There is sufficient evidence to conclude that there is a significant difference between the means of the statistics day students and night students on Exam 2.

99. A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them.

Conduct a hypothesis test to answer the next two exercises.
87. The exact distribution for the hypothesis test is:
a. the normal distribution
b. the Student's t-distribution
c. the uniform distribution
d. the exponential distribution

102. A recent year was randomly picked from 1985 to the present. In that year, there were 2,051 Hispanic students at Cabrillo College out of a total of 12,328 students. At Lake Tahoe College, there were 321 Hispanic students out of a total of 2,441 students. In general, do you think that the percent of Hispanic students at the two colleges is basically the same or different?

Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys \(50\) entry level mechanical engineers and \(60\) entry level electrical engineers. Their mean salaries were \(\$46,100\) and \(\$46,700\), respectively. Their standard deviations were \(\$3,450\) and \(\$4,210\), respectively. Conduct a hypothesis test to determine if you agree that the mean

entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.
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