statistics help
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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

 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. 
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For complete post, please see Statistics help with Statistics help Part 2 and Part 3