Question

In: Statistics and Probability

A researcher sampled 16 couples (32 people) and measured the mean difference in their marital satisfaction....

A researcher sampled 16 couples (32 people) and measured the mean difference in their marital satisfaction. Each couple was paired and the differences in their ratings (on a 7-point scale) were taken. If the mean difference in satisfaction ratings for this sample was 1.8±2.0 (MD±SD), then what is the decision at a .05 level of significance?

1. H0:

H1:

2. Critical value:

3. Tobt score:

4. What is the decision?

5. What is Cohen’s D? Also, say small, medium or large.

6. What is eta squared? Also, say small, medium or large.

Please answer 1-6

Solutions

Expert Solution


Related Solutions

One of the questions in a study of marital satisfaction of dual-career couples was to rate...
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within...
The foot size of each of 16 men was measured, resulting in the sample mean of...
The foot size of each of 16 men was measured, resulting in the sample mean of 27.32 cm. Assume that the distribution of foot sizes is normal with sigma = 1.2 cm. a) Test if the population mean of men’s foot sizes is 28.0 cm using alpha = 0.01. b) If alpha = 0.01 is used, what is the probability of a type II error when the population mean is 27.0 cm? c) Find the sample size required to ensure...
A researcher wants to determine if there is a significant difference in the mean cost of...
A researcher wants to determine if there is a significant difference in the mean cost of a meal in the world's most expensive restaurants. A survey of 100 people in the most expensive restaurant in the world in Tokyo, Japan produced an average cost per person of $277 and a standard deviation of $35. A survey of 100 people in the second most expensive restaurant located in Toronto, Canada produced an average cost per person of $213 with a standard...
A researcher is interested in understanding if there is a statistically significant difference between people in...
A researcher is interested in understanding if there is a statistically significant difference between people in different marital status in terms of their level of general happiness.  Marital status was measured as follows: 1. Married, 2. Widowed, 3. Divorced, 4. Separated, and 5. Never married.  General happiness was measured as follows: 1. Very happy, 2. Pretty happy, and 3. Not too happy.         To test his hypothesis, the researcher ran the Analysis of Variance (ANOVA), and he obtained the following output table. ANOVA...
QUESTION 16 A researcher wanted to see whether there was a difference between NYC citizens and...
QUESTION 16 A researcher wanted to see whether there was a difference between NYC citizens and Boston citizens in the amount of time (in hours) they spent outside during April 2020. He collected two samples – one of NYC citizens and the other of Boston citizens, and measured the amount of time each subject spent outside during April 2020. Sample #1 (of NYC citizens) contained 20 subjects (n1=24), the mean number of hours spent outside was M1=40, and the sample’s...
A researcher is interested in the mean amount of time it takes people to complete a...
A researcher is interested in the mean amount of time it takes people to complete a personality questionnaire. He selects 40 people at random and calculates the mean amount of time to be 20.4 min with a variance of 17.64 min2 . a) Define the parameter of interest. b) Define the random variable of interest. c) Name the distribution required to calculate confidence intervals. (Check the relevant criteria.) d) Construct a 98% confidence interval for the true mean amount of...
Imagine we sampled 9 people. The sample mean of cigarettes per week was 5. The sample...
Imagine we sampled 9 people. The sample mean of cigarettes per week was 5. The sample standard deviation was 2. What is the 99% confidence interval for the true mean of cigarettes per week? Show work.
Recreational Time A researcher wishes to see if there is a difference between the mean number...
Recreational Time A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use for the mean number of families with no children. At , is there a difference between the means? Use the critical value method and tables. No children - xbar=8.7, standard....
Does pollution increase mean death rate? A researcher sampled 31 “unpolluted” areas greater than 50 km...
Does pollution increase mean death rate? A researcher sampled 31 “unpolluted” areas greater than 50 km away from industrial plants, and 23 different “polluted” areas near industrial plants. The average mortalities in the unpolluted areas were 3 deaths per day per 100000 people (with a sample standard deviation of 0.4 deaths/day/100000 people), and was 3.3 deaths per day per 100000 people (with a sample standard deviation of 0.5 deaths/day/100000 people) in the polluted area. At the alpha=0.01 level, answer the...
Claim: there is no difference between the mean daily driving time for the popuation of 16-20...
Claim: there is no difference between the mean daily driving time for the popuation of 16-20 year old men and the mean daily driving time for the population of men 60 years and older. In a study of times that people drive each day, it was found that 50 men aged 16-20 years drove a daily average of 49.3 minutes with a standard deviation of 21.4 minutes, and 55 men aged 60 years and older drove a daily average of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT