# statistics help

The branch manager of an outlet (Store 1) of a nationwide chain of pet supply stores wants to study characteristics of her customers. In particular, she decides to focus on two variables: the amount of money spent by customers and whether the customers own only one dog, only one cat, or more than one dog and/or cat. The results from a sample of 70 customers are follows:
- Amount of money spent: X = \$21.34, S=\$9.22
- 37 customers own only a dog
- 26 customers own only a cat
- 7 customers own more than one dog and/or cat

a) Construct a 95% confidence interval estimate of the population mean amount in the pet supply.
b) Construct a 90% confidence interval estimate of the population proportion of customers who own only a cat

The branch manager of another outlet (Store 2) wishes to conduct a similar survey in the store. The manager does not have access to the information generated by the manager of Store 1. Answer the following questions:

c) What sample size is needed to have 95% confidence of estimating the population mean amount spent in his store within +/-\$1.50 if the standard deviation is \$10
d) What sample size is needed to have 90% confidence of estimating the population proportion of customers who own only a cat to within +/-0.045?
e) Based on your answers for c and d, how large a sample should the manager take?

Note*The manager at store 2 only has enough money budgeted to do one sample analysis

1. - Amount of money spent: X = \$21.34, S=\$9.22
- 37 customers own only a dog
- 26 customers own only a cat
- 7 customers own more than one dog and/or cat

a) Construct a 95% confidence interval estimate of the population mean amount in the pet supply.
b) Construct a 90% confidence interval estimate of the population proportion of customers who own only a cat

posted by Student
2. The branch manager of another outlet (Store 2) wishes to conduct a similar survey in the store. The manager does not have access to the information generated by the manager of Store 1. Answer the following questions:

c) What sample size is needed to have 95% confidence of estimating the population mean amount spent in his store within +/-\$1.50 if the standard deviation is \$10
d) What sample size is needed to have 90% confidence of estimating the population proportion of customers who own only a cat to within +/-0.045?
e) Based on your answers for c and d, how large a sample should the manager take?

Note: The manager at store 2 only has enough money budgeted to do one sample analysis.

posted by Student
3. Incomplete post

posted by drwls
4. For complete post, please see Statistics help with Statistics help Part 2 and Part 3

posted by Student

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