Question 4 d – numeric answer A cosmetology school runs a ha…

Question 4 d – numeric answer A cosmetology school runs a hair salon that is staffed by students and is very popular because of their low prices.  Students working at the salon are classified as underclassmen or upperclassmen, and 65% of the student employees are upperclassmen.  Each customer is randomly assigned a stylist when they arrive for an appointment. At the end of each appointment, the customer completes a short survey and provides a rating out of 5 stars (where 1 is low and 5 is high) for the service they received.  The pmfs of the ratings received by upperclassmen and underclassmen over the past year are given below.   Underclassmen                                                               Upperclassmen Probability Score   Probability Score 0.15 1 star   0.05 1 star 0.10 2 stars   0.10 2 stars 0.25 3 stars   0.20 3 stars 0.40 4 stars   0.40 4 stars 0.10 5 stars   0.25 5 stars   d) Franklin is an upperclassman stylist.  He will be able to apply for a specialized summer program once he has received 20 5-star reviews.   What is the probability that he has to serve exactly 30 customers before he can apply for the summer program?  

A certain pain-relief medication causes nausea in 25% (or 0….

A certain pain-relief medication causes nausea in 25% (or 0.25) of the patients taking it. A new formulation of this medication has been developed that should reduce this proportion. The research team would like to test this theory about the proportion of the population of all patients taking the new formulation who becomes nauseated. That is, they would like to test the following claim: Based on a very large random sample of patients taking the new medication, the sample proportion who became nauseated was 1.7 standard deviations below 0.25. Using a significance level of 0.05. Select all that are true