Question:Sampling post quiz --Please be as accurate as possible!! thank you!!

1 Sales volume last weekend for a sample of ten car dealerships were as follows:

Data Point 1 2 3 4 5 6 7 8 9 10

# Sales 33 24 19 45 30 41 32 19 22 43

What is the variance of the sample data?

Please round your answer to the nearest tenth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

2 Sales volume last weekend for four samples, each consisting of five car dealerships, were as follows:

Data Point 1 2 3 4 5

Sample 1 23 13 37 46 20

Sample 2 15 26 45 33 38

Sample 3 44 23 35 18 29

Sample 4 48 37 21 30 19

What is the mean of the distribution of sample means?

Please round your answer to the nearest tenth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

3 Sales volume last weekend for four samples, each consisting of five car dealerships, were as follows:

Data Point 1 2 3 4 5

Sample 1 20 41 38 14 16

Sample 2 50 29 32 25 39

Sample 3 42 15 26 37 25

Sample 4 12 24 43 49 19

What is the variance of the distribution of sample means?

Please round your answer to the nearest tenth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

4 The mean is 51.6 and the standard deviation is 15.3 for a population.

Using the Central Limit Theorem, what is the standard deviation of the distribution of sample means for samples of size 75?

Please round your answer to the nearest tenth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

5 Suppose your marketing colleague used a known population mean and standard deviation to compute the standard error as 49.6 for samples of a particular size. You don't know the particular sample size but your colleague told you that the sample size is greater than 60. Your boss asks what the standard error would be if you double the sample size.

What is the standard error for the new sample size?

Please round your answer to the nearest tenth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.