# statistics

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Researchers conducted a survey of parents of 66 kindergarten children. The parents were asked whether they played games with their children. The parents were divided into two groups: working class and middle class. The researchers wanted to know if there was an association between the frequency with which parents played games with their children and their social class. The following data were obtained:

Frequency of Games
Never Sometimes Often Total
Middle Class 2 8 22 32
Working Class 11 10 13 34
Total 13 18 35 66

Perform a hypothesis test using the six-step critical value approach. Show all work. Be sure to include your interpretation of results in the final step. Test using α = .05.
Attach an Excel printout that supports your hypothesis conclusion.

A market research firm wants to determine whether major sports events or first run movies attract more viewers in the prime-time hours. It selects 28 prime-time evenings; of these, 13 have sports events and the remaining 15 have first-run movies. The number of viewers for each program is recorded. If μ1 is the mean number of sports viewers per evening of sports programming and μ2 is the mean number of movie viewers per evening of movie programming, determine if a difference between these population means exists. Assume the population variances are equal. Test using α = .05. (Note: x ̅1 = 6.8 million viewers; s1 = 1.8 million viewers; x ̅2 = 5.3 million viewers; s2 = 1.6 million viewers.

Perform a hypothesis test using the six-step method. Show all work. Be sure to include your interpretation of results in the final step.
Attach an Excel printout that supports your hypothesis conclusion.

A new method of teaching reading to elementary students is being compared to the current standard method. Eight pairs of students with similar reading IQ’s are found and one member of each pair is randomly assigned to the new method while the other is assigned to the standard method. Do the data in the table below support the hypothesis that the population mean test score for students taught by the new method (μ1 ) is greater than the mean reading test score for those taught by the standard method (μ2 ). Test using α = .05.

READING TEST SCORES FOR EIGHT PAIRS OF STUDENTS
PAIR NEW METHOD STANDARD SCORE
1 77 72
2 74 68
3 82 76
4 73 68
5 87 84
6 69 68
7 66 81
8 80 76

Perform a hypothesis test using the six-step method. Show all work. Be sure to include your interpretation of results in the final step.
Attach an Excel printout that supports your hypothesis conclusion.

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