1) Daniel believes that people perform better in the barbell curl, on average, if they are encouraged by a coach. He recruited 29 subjects to participate in an experiment and randomly assigned them into two groups. Daniel gave one group verbal encouragement during the exercise and was quiet during the exercise for the other group. He recorded the total number of barbell curls each subject was able to complete before setting the bar down.

a)What if P-value for Daniel's test would have been 0.017.What conclusion should Daniel make at the 0.05 significance level?

b)Based on your conclusion in #1, describe the type of error Daniel could be making in context.

2) A company that makes potato chips requires each shipment of potatoes to meet certain quality standards.If the company finds convincing evidence that more than 8% of the potatoes in the shipment have "blemishes", the truck will be sent back to the supplier to get another load of potatoes.Otherwise, the entire truckload will be used to make potato chips.To make the decision, a supervisor will inspect a random sample of potatoes from the shipment.He will then perform a test of Ho: p=0.08 versus Ha: p>0.08 , where p is the true proportion of potatoes with blemishes in a given truckload.The power of the test when p= 0.11, based on a random sample of 500 potatoes and significance level a=0.05, is 0.764.Determine if each of the following would increase or decrease the power of the test.Explain your answers.

a.Change the significance level to a=0.01

b.Take a random sample of 300 potatoes instead of 500 potatoes.

c.The true proportion is p=0.12 instead of p=0.11