Suppose that a researcher wanted to compare times to complete a word puzzle. They wanted to compare the time to complete the puzzle based on the participants experience with video games: minimal experience or substantial experience. The times are below. The individuals were randomly selected. Minimal 17 18 17 19 17 16 14 14 Substantial 12 13 14 15 18 100 17 14 Why might a permutation test be the best option for this scenario?  

A political scientist is interested in studying how Americans feel about having a female American president. He asks 100 people under the age of 40 and 100 people over the age of 40 if they would vote for a women president. The political scientist hypothesized that younger age group(1) would  be more likely to vote for a women president than the older age group(2). What would be the correct null and alternative hypothesis?

A nutritionist was interested in determining if participating in a weight loss program could reduce someone’s weight. She had 4 participants participate in a medical diet plan. She recorded their weight at the beginning of the program and at the end of the program. Find the 95% confidence interval for the population mean change in weight. 1 2 3 4 before 165 204 201 207 after 170 199 197 205  

A nutritionist was interested in studying American’s opinions about healthy eating. One hundred randomly selected people who were starting a diet were asked if they ate three servings of whole grains a day. After six months, the same 100 people were asked if they ate three servings of whole grains a day. What is the value of the test statistic?   Six months later “Yes, ate whole grains” Six months later “No, did not” Initial Response “Yes, ate whole grains” 26 25 Initial Response “No did not” 17 32

A nutritionist was interested in studying American’s opinions about healthy eating. One hundred randomly selected people who were starting a diet were asked if they ate three servings of whole grains a day. After six months, the same 100 people were asked if they ate three servings of whole grains a day. Besides random sampling and categorical data, what other assumption needs to be met? Is it met?   Six months later “Yes, ate whole grains” Six months later “No, did not” Initial Response “Yes, ate whole grains” 26 15 Initial Response “No did not” 17 42

Is the mean nursing salary for men and women with similar experience statistically significantly different? A significance test was conducted to test this claim. The p-value was 0.07. What can be said about the 95% confidence interval for the population mean difference?

A fellow student says that the average salary of graduates in your major is 30,000 dollars per year. You don’t think that this is correct. You think that the average salary is different from this. To show that your fellow student is wrong, you take a simple random sample of fifty graduates who have graduated in the past 5 years and ask for the amount of their starting salary. We want to investigate whether there is evidence to support your claim that the population mean starting salary is different from 30,000 and find that the p-value is 0.07.    What can be said about the 95% confidence interval for the population mean difference?

Researchers were trying to determine if a connection could be made between television viewing habits and gender. They want to see whether less men (m) watch the television show, Game of Thrones, than women (f). What would be the correct alternative hypothesis?

A nutritionist was interested in studying American’s opinions about healthy living. One hundred randomly selected people who were starting a diet were asked if they consumed at least 24 ounces of water a day. After six months, the same 100 people were asked if they consumed at least 24 ounces of water a day   Six months later “Yes, consumed at least 24 ounces of water” Six months later “No, did not” Initial Response “Yes, consumed at least 24 ounces of water” 25 20 Initial Response “No did not” 30 25   What is the sample proportion of people who responded “Yes, they consumed at least 24 ounces of water” initially?

A nutritionist was interested in studying American’s opinions about healthy eating. One hundred randomly selected people who were starting a diet were asked if they ate five servings of fruit and vegetables every day. After six months, the same 100 people were asked if they ate five servings of fruits and vegetables a day. What is the value of the test statistic?   Six months later “Yes, ate five servings of fruit and vegetables” Six months later “No, did not” Initial Response “Yes, ate five servings” 17 18 Initial Response “No did not” 46 19