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?

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

Two hundred people were randomly selected in the year 2010 (group 1) and in the year 2012 group 2). They were asked how many hours a day they spent on a digital device (online, mobile, or other). The sample mean in 2010 was 3.14 hours and in 2012 it was 4.31 hours. What is the point estimate of the population mean difference between 2010 and 2012?

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 5 Initial Response “No did not” 27 42

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: moderate experience or substantial experience. The times are below. The individuals were randomly selected. Moderate 17 18 17 19 17 160 14 14 Substantial 12 13 14 15 18 10 17 14 Why might a permutation test be the best option for this scenario?

Is there a difference in the population mean time spent watching tv per day for men and women?The p-value was 0.03. What can be said about the 95% confidence interval for the population mean difference?

Is there a difference in the population mean time spent watching tv per day for men and women? The p-value was 0.03. What can be said about the 99% confidence interval for the population mean difference?

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?

Researchers want to determine if there is a connection between choice of musical instruments and gender. They want to see if the proportion of men (m) who play the flute is different from the proportion of women (f) who play the flute. They find that the p-value is 0.11.   What can be said about the 95% confidence interval for the population mean difference?

An instructor was interested in studying students satisfactory solving of a math problem. The students were given a math problem to solve before and after instruction. Each time, the student was given either a “S” for satisfactory completion or “U” for unsatisfactory completion. Two hundred randomly selected students were involved in the study. “S” after instruction “U” after instruction “S” before instruction 53 18 “U” before instruction 58 71  Besides random sampling and categorical data, what other assumption needs to be met? Is it met?