A scientist was interested in determining if the Paleo diet plan worked.  They randomly selected 4 people that were interested in trying a new diet plan. They recorded their initial weights before starting the diet plan. After six weeks, their weight was taken again. How would you check the normality assumptions for this test?     1 2 3 4 Initial weight 170 160 130 200 Weight six weeks later 162 157 124 190  

An informed college student wants to test samples of water in water fountains on campus to ensure that the average amount of lead is less than 15 ppb. What would be the appropriate alternative hypothesis?

A study was done by Sananman and Lear in the 1960s to monitor the amount of iron (mg/L) in the water in the Chesapeake Bay. They compared the amount of iron from a depth of 0 feet (group 1) to a depth of 30 feet (group 2). The researchers were interested in determining if the amount of iron was different at the two depths. The 95% confidence interval to compare the two depths is (-0.008, 0.0028). Interpret the confidence interval.    We are 95% confident that  . . .

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 190 210 200 210 after 170 199 197 205  

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 90% 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, Stranger Things, than women (f). What would be the correct alternative hypothesis?

In 2012, the General Social Survey included a question that asked participants how many hours they worked a week. Do males work more hours at a job than females? Would this be an example of independent or dependent samples?

A study was done by Sananman and Lear in the 1960s to monitor the amount of iron (mg/L) in the water in the Chesapeake Bay. They compared the amount of iron from a depth of 10 feet (group 1) to a depth of 100 feet (group 2). The researchers were interested in determining if the amount of iron was different at the two depths. The 95% confidence interval to compare the two depths is (-0.20, -0.13). Interpret the confidence interval.   We are 95% confident that  . . .

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 15 Initial Response “No did not” 17 42

The General Social Survey asked 612 men (group 1) and 292 women (group 2) if they have been too exhausted from housework to do a good job at work. The 95% confidence interval for