8. The cookie lady is now interested in analyzing the number of days that her wo

Question

8. The cookie lady is now interested in analyzing the number of days that her workers don’t consume any cookies during their work shift. The information below reports the results of interviewing a sample of 15 workers. The data lists the number of days that each worker form the sample didn’t eat any cookies during a two week pay period.

1 1 1 6 9 12 8 8 7 3 6 4 5 9 1

(a) Determine the mean and standard deviation of the sample.

(b) Develop a 95% confidence interval for the population mean. Assume that the population distribution is normal.

9. (This is the chapter 8 problem) Six bundles of pencils contain the following quantities:

Bundle

Number of Pencils

A

4

B

7

C

10

D

9

E

11

F

7

(a) Calculate the number of different samples of 2 bundles each there are.

(b) List all the possible samples of size 2 and compute the mean of each sample and the mean of these means.

(c) Calculate the population mean and compare it to the mean of the sampling distribution found in part b.

Bundle

Number of Pencils

A

4

B

7

C

10

D

9

E

11

F

7

Explanation / Answer

8)

mean =5.6

std deviation =3.4393

for 14 degree of freedom and 95% CI, t=2.1448

b)hence confidence interval =mean +/- t*std error =3.6954 ; 7.5046

8)a) total number of samples =6*6=36

b)

c)

population mean =8

hence all samples mean and population mean are same

X 1.0000 1.0000 1.0000 6.0000 9.0000 12.0000 8.0000 8.0000 7.0000 6.0000 6.0000 4.0000 5.0000 9.0000 1.0000 mean(X) 5.6000 std deviation(S) 3.4393 std error =S/(n)1/2 0.8880

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