American Public University System Standard Deck of Cards & Car Dealership Advertises Worksheet

Question Description

1. Let’s look at a standard deck of 52 cards.

What is the probability of getting 2 kings assuming that the first one is not replaced?

4/52 * 3/51 = 1/13*1/17= 1/221

What is the probability of getting 2 kings assuming that the first one is replaced?

4/52 * 4/52 = 1/13 * 1/13 = 1/169

2. Assuming .05 as your alpha value, make up a problem similar to this one. Make up 36 gas prices for your example. Use price values in your list that some you made up and be sure they are similar to the prices you have had in your area. List the values.

The formula is E= zsubc * sigma / sqrt n

Where the left hand endpoint is xbar – E and the right hand endpoint is xbar + E

3. Think of an application where you can use hypothesis testing to test a premise. Use .05 for your alpha and give the scenario. Set up the problem, solve it and state your conclusions.

Then create your own hypothesis test. For instance, XYZ car company boast that it’s new car Eco Auto gets at least 59 miles to the gallon. Given a sample mean of 57 and a standard deviation of 3.5 where 35 people were tested, find the z value and p value. Hint: Use the P value calculator in the announcements to find the p value. Note: On this one you do not need to attach an excel spreadsheet.

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