**Study on the Effect of Pet Companionship on Depression in Elderly Adults**Researchers are interested in the impact of pet companionship on depression levels in elderly adults. They conducted a study in which they randomly selected 25 participants from the target population and recorded their depression scores before and after spending a month with a dog (a higher score indicates a higher level of depression). The researchers then computed the difference scores for each participant (difference = after - before). The mean of these difference scores is -1, and the standard deviation of the differences is 2. The question posed by the researchers is: can they conclude that there is an effect of pet companionship on depression in elderly adults? To answer this, they need to conduct the appropriate statistical test (two-tailed) with an alpha level (α) of 0.05.**Question:**Select the null hypothesis for this statistical analysis.- ○ \( H_{0} : \mu_{D} = 0 \)- ○ \( H_{0} : \mu_{D} = -1 \)- ○ \( \overline{X}_{D} = 0 \)- ○ \( H_{1} : \mu_{1} - \mu_{2} = -1 \)In this context:- \( H_{0} \) (Null Hypothesis): There is no effect of pet companionship on depression, implying the mean difference \( \mu_{D} \) is equal to 0.- \( H_{1} \) (Alternative Hypothesis): There is an effect of pet companionship on depression, implying the mean difference \( \mu_{D} \) is not equal to 0.

Sample size n =25Difference of means is -1 and standard deviation is 2

Answered: depression scores before and after…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferes. For a week prior to training, each of nine subjects record the number of headaches suffered. Subjects then receive relaxation training and for the week following training the number of headaches is again measured. The change in number of headaches before and after training was MD=-3 with a standard deviation of SD=3. Does training significantly reduce headaches? test with a level of significance of .05.
An educator has developed a program to improve math scores on the Texas STAAR test. The average STAAR Mathematics test for the third graders in the district was a mean= 1472. A sample of n= 30 third graders took the new math training prgram before taking the STAAR Math test. The average score for the students was M= 1497. with a standard deviation of s= 145 (note, this is standard deviation, not variance). Was there a significant change in test scores ( use stard devistion of 0.05, two tail test). What conclusion can be made from these data?
In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.7 and a standard deviation of 18.8. Use a 0.05 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of two English courses with a standard deviation of 0.7. The females took an average of three English courses with a standard deviation of 1.1. Are the means statistically the same? (Use ? = 0.05) 1) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.)
Do men take less time than women to get out of bed in the morning? The 48 men observed averaged 7.7 minutes to get out of bed after the alarm rang. Their standard deviation was 1.8. The 55 women observed averaged 8 minutes and their standard deviation was 1.9 minutes. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means z-test for a population proportion The null and alternative hypotheses would be: H0:H0: Select an answer μ1 p1 Select an answer > ≠ = < Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer μ1 p1 Select an answer > < = ≠ Select an answer p2 μ2 (Please enter a decimal) The test statistic ? t z = (please show your answer to 3 decimal places.) The…
Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 55 student IQ scores from school records and found the mean of the 55 results was 107 with a sample standard deviation of 23. The level of significance (alpha) used for this problem is 0.05. Find/Calculate the P-value for this hypothesis test (show full calculator syntax) Stat Tests t tests , t test, 110, 107,23,55, , p = .156 Stat Tests t tests , t test, 110, 107,23,55, < ,р -.031 Stat Tests t tests , t test, 110, 107,23,55, = , p = .117
Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 22 people who drank ethanol and another group of 22 people given a placebo. The errors for the treatment group have a standard deviation of 2.30, and the errors for the placebo group have a standard deviation of 0.74. Use a 0.05 significance level to test the claim that the treatment group has errors that vary significantly more than the errors of the placebo group. Assume that the two populations are normally distributed. => Identify the test statistic. (Round to two decimal places as needed.) Use technology to identify the P-value. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? reject/fail to reject?
The mean BMI in patients free of diabetes has been reported as 27.8. An investigator measured BMI in 12 patients who are free of diabetes and found a mean BMI of 30.2 with a standard deviation of 5.5. The investigator hypothesizes that the BMI in patients free of diabetes is higher than what has been reported. Is there evidence that the BMI is significantly higher that 27.8? Use a 5% level of significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUSTshow your work to receive full credit. Partial credit is available.
Do men take a different amount of time than women to get out of bed in the morning? The 54 men observed averaged 4.3 minutes to get out of bed after the alarm rang. Their standard deviation was 1.4. The 59 women observed averaged 5 minutes and their standard deviation was 2.8 minutes. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for the difference between two independent population means b. The null and alternative hypotheses would be: Ho: μ1 = + μ2 (please enter a decimal) H₁: μ1 # ♦ μ2 (Please enter a decimal) (please show your answer to 3 decimal places.) c. The test statistic t = d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is α f. Based on this, we should fail to reject + the null hypothesis.
In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.7 and a standard deviation of 23.1. Use a 0.01 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Currently patrons at the library speak at an average of 69 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 41 people speaking at the library. Their average decibel level was 67 and their standard deviation was 5. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer v H1: ? v Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean has significantly decreased from 69 at a = 0.01, so there is statistically significant evidence to conclude that the population mean decibel…
An educator has developed a program to improve math scores on the Texas STAAR test. The average STAAR Mathematics test for the third graders in the district was a mean= 1472. A sample of n= 30 third graders took the new math training prgram before taking the STAAR Math test. The average score for the students was M= 1497. with a standard deviation of s= 145 (note, this is standard deviation, not variance). Was there a significant change in test scores ( use stard devistion of 0.05, two tail test). Calculate the effect size using Cohen's d.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS