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 theirdogs as compared to dog owners living in the city. The researcher gets a sample of 20 dog owners in the ruralarea and 22 dog owners in the city. The number of hours per week that an owner spends walking his or herdog is recorded.The data are as follows:Dog Owners in the rural areaDog owners in the cityM= 15M= 10SS = 320SS = 205n = 20n= 22a. 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 stressamong college students. She offered weekly therapy sessions to 30 college students and measured the stresslevel of each student before the first therapy session and again after the last therapy session. She wants toestimate the amount of stress reduction after students receive the CBT treatment. Students' average stressscore changed from M, = 35 before the first therapy session to M: = 29.5 after the last therapy session. Thedata produced a mean difference of Mo = 5.5 and a sum of square of SSp = 426.3 for the difference scoresbetween the two measurements.a. Use the sample data to make a point estimate of the mean difference in stress scores between the twomeasurements (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 meandifference is in your interval.

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Description: 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 theirdogs as compared to dog owners living in the city. The researcher gets a sample of 20 dog owners

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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

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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

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.

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