Q1) Data in file represent total fat in grams per servings, for sample of 20 chicken sandwiches from fast food chain. X=23.2, S=12.39 Data are as follows:
|
7
|
8
|
4
|
5
|
16
|
20
|
20
|
24
|
19
|
30
|
|
23
|
30
|
25
|
19
|
29
|
29
|
30
|
30
|
40
|
56
|
a) Create a 95% confidence interval for population mean total fat, in grams per serving.
b) Interpret interval constructed in (a)
2) Manager of paint supply store wishes to evaluate the actual amount of paint contained in 1 gallon cans bought from nationally known manufacturer. Manufacturer's specifications stated that standard deviation of amount of paint is equal to 0.02 gallon. Random sample of 50 cans is chosen and sample mean amount of paint per 1 gallon can is 0.995 gallon.
a) Create a 99% confidence interval estimate of population mean amount of paint included in a 1 gallon can.
b) On basis of these result do you believe manager has right to complain to manufacturer? Why?
c) Should you suppose that population amount of paint per can is normally distributed here?. Explain
d) Creeate a 95% confidence interval estimate. How does this change your answer to (b)?