Question

1. Determine which test would be the most appropriate, give a brief explanation, and provide the null and alternative hypotheses for each test:

1. Alan wants to know if the average number of chocolate chips in a Chips Ahoy cookie is different than the average number of chocolate chips in a Toll House cookie.

2. A can of mixed nuts claims that there are 40% cashews, 30% peanuts, 20% walnuts, and 10% almonds. Bob wishes to test the claim.

3. Cindy wants to know if the average speed a person drives on the highway is above 70 miles per hour.

4. Dave has created a new drug that he believes will cause squirrels to gain weight, and wishes to test the effectiveness.

Answer 1

a) T test for comparing two mean will be appropriate.

As random sample data will be collected and compare

b) You can use Chi square goodness of Fit test

as you have to test if the proportion of  cashews is 40%, peanuts is 30%, walnuts is 20%, and almonds is 10%

c) You can use T distributon test for one mean if the population standard deviation is not given.

If given use Z test for one mean

d) T test for comparing two mean will be appropriate. Yo will be comparing weight of squirrels before and after giving new drug. If same squirrels are used before and after than it is a paired sample T test