3. Conduct a full hypothesis lest using the p value method for the scenario below. Make sure all the steps are there. A good thing to do is to get the prompts from the Week 6 whiten assignment A sample of 20 account balances of a credit company showed a mean customer balance of $2 000, but the marketing manager claimed that the mean balance for the population was $2 225. The marketing manager did NOT have the population standard deviation, but the sample standard deviation was found to be $150 Use the p-value approach to conduct a full hypothesis test (all steps) that can be used to determine whether the mean of all account balances is significantly different from $2,225. Let a = 01. 4. Weekly demand at a grocery store for a brand of breakfast cereal is normally distributed with a mean of 327 boxes and standard deviation of 21 boxes Sketch and insert the z graph with appropriate labels and shading and then determine the probability that the weekly demand is a 300 boxes or less b. More than 350 boxes CBetween 310 and 360 boxes 5 In order to determine the average weight of carry-on luggage by passengers in airplanes a sample of 411 pieces of carry-on luggage was collected and weighed. The average weight was 22.9 pounds. Assume that we know the standard deviation of the population to be 1 94 pounds. Determine a 90% confidence interval estimate for the mean weight of the carry-on luggage