1-A convenience store attendant has been working her current job for 25 years. She has recorded how many people come in to purchase pick-3 lottery tickets during an hour. The results of 104 randomly selected hours are shown below.

What is the expected number of times 4 Pick-3 lottery tickets are purchased in an hour?

A.20.32

B.84.26

C.17.65

D.45.08

2-Aspirin has been used for a long time by people who suffer from arthritis pain. A recent marketing campaign has promoted another drug, ibuprofen, as being a "faster-acting" pain reliever. A consumer group wishes to verify the validity of this claim by setting up a test that compares the population mean time to pain relief using aspirin, ?_A, with the population mean time to relief using ibuprofen, ?_I. A random sample of 152 people with arthritis pain is to be selected, and then 76 people will randomly be assigned to a group using aspirin and a group using ibuprofen. The average time to pain relief for each group will then be determined and used for the test of the difference of the two population means.

The results from the samples that are provided to the consumer group are as follows:

_A= 18.5 minutes;₁= 14.2minutes;se(_A-₁) = 1.72 minutes;df= 150

Using the data, determine the value of the test statistic for the test described above.

• A.t = 2.5
• B.z = -2.5
• C.z = 2.5
• D.t = - 2.5

3-A hotel desk clerk recorded the number of people that check in to the hotel during a 30-minute period for 250 randomly selected 30-minute increments. The hotel clerk works a variety of shifts (evening, morning, afternoon, etc.) This hotel clerk is taking an Introductory Statistics course at her local Community College and she believes that the number of people that check in during a 30 minute period follows a Poisson distribution.

Find the expected number of cases (out of 250) where 4 check-ins occur in a 30 minute period.

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