1. A researcher predicts that dog owners living in the rural area spend different amount of time walking their dogs as compared to dog owners living in the city. The researcher gets a sample of 20 dog owners in the rural area and 22 dog owners in the city. The number of hours per week that an owner spends walking his or her dog is recorded. The data are as follows: Dor Owners in the rural area M= 15 Dog owners in the citvy M= 10 SS - 320 SS - 205 n- 20 n- 22

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Problems: Open book (please show all work!)
1. A researcher predicts that dog owners living in the rural area spend different amount of time walking their
dogs as compared to dog owners living in the city. The researcher gets a sample of 20 dog owners in the rural
area and 22 dog owners in the city. The number of hours per week that an owner spends walking his or her
dog is recorded.
The data are as follows:
Dog Owners in the rural area
Dog owners in the city
M= 15
M= 10
SS = 320
SS = 205
n = 20
n= 22
a. State the null hypothesis and the alternative hypothesis in symbols.
b. Test the hypothesis using a = .05
(See more questions on the back!)
Transcribed Image Text:Problems: Open book (please show all work!) 1. A researcher predicts that dog owners living in the rural area spend different amount of time walking their dogs as compared to dog owners living in the city. The researcher gets a sample of 20 dog owners in the rural area and 22 dog owners in the city. The number of hours per week that an owner spends walking his or her dog is recorded. The data are as follows: Dog Owners in the rural area Dog owners in the city M= 15 M= 10 SS = 320 SS = 205 n = 20 n= 22 a. State the null hypothesis and the alternative hypothesis in symbols. b. Test the hypothesis using a = .05 (See more questions on the back!)
2. A psychologist uses a treatment method called Cognitive Behavioral Therapy (CBT) to help reduce stress
among college students. She offered weekly therapy sessions to 30 college students and measured the stress
level of each student before the first therapy session and again after the last therapy session. She wants to
estimate the amount of stress reduction after students receive the CBT treatment. Students' average stress
score changed from M, = 35 before the first therapy session to M: = 29.5 after the last therapy session. The
data produced a mean difference of Mo = 5.5 and a sum of square of SSp = 426.3 for the difference scores
between the two measurements.
a. Use the sample data to make a point estimate of the mean difference in stress scores between the two
measurements (i.e., before the first therapy session and after the last therapy session) in the population.
b. Make an interval estimate of the mean difference so that you are 90% confident that the population mean
difference is in your interval.
Transcribed Image Text:2. A psychologist uses a treatment method called Cognitive Behavioral Therapy (CBT) to help reduce stress among college students. She offered weekly therapy sessions to 30 college students and measured the stress level of each student before the first therapy session and again after the last therapy session. She wants to estimate the amount of stress reduction after students receive the CBT treatment. Students' average stress score changed from M, = 35 before the first therapy session to M: = 29.5 after the last therapy session. The data produced a mean difference of Mo = 5.5 and a sum of square of SSp = 426.3 for the difference scores between the two measurements. a. Use the sample data to make a point estimate of the mean difference in stress scores between the two measurements (i.e., before the first therapy session and after the last therapy session) in the population. b. Make an interval estimate of the mean difference so that you are 90% confident that the population mean difference is in your interval.
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