1. Let's assume the average food delivery time for all Grubhub drivers is 31 minutes with a standard deviation of six minutes. We want to know if the pandemic has significantly altered this delivery time. We take a random sample of 30 delivery drivers and find their sample mean is 36 minutes. Please answer the questions below.

a. Test the hypothesis that pandemic has made a difference in delivery times. You'll need to run the appropriate Z test to do this (assuming a 2-tailed [non-directional hypothesis], with p<.05)

b. Compute the 95% confidence interval for the above information.

c. Once you have computed the information for b- please fill out the sentence:

We estimate with ___% confidence that the true population mean of Grubhub food deliveries is between ___ and ___ minutes.

d. Compute the effect size and describe its strength.

e. .Based on the information that you have provided for both a and b, what can you conclude about whether the pandemic has significantly altered food delivery times?

3. there are ways to alter your probability of making a Type I or Type II error. Below, I would like you to mention 1 way that you can decrease the likelihood of each of these errors occurring. After providing that information please also mention if there are any drawbacks to each method that you listed.