The branch manager of an outlet store (Store 1) of a nationwide chain of pet supply stores wants to study the 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 accompanying results are from a sample of 78 customers. Complete parts (a) through (e) below. a. Construct a 95% confidence interval estimate for the population mean amount spent in the pet supply store. (Round to two decimal places as needed.) b. Construct a 99% confidence interval estimate for the population proportion of customers who own only a cat. (Round to four decimal places as needed.) c. The branch manager of another outlet (Store 2) wishes to conduct a similar survey in his store. The manager does not have access to the information generated by the manager of Store 1. What sample size is needed to have 95% confidence of estimating the population mean amount spent in this store to within ±$1.00 if the standard deviation is estimated to be $8? (Type a whole number.) d. How many customers need to be selected to have 99% confidence of estimating the population proportion of customers who own only a cat to within ±0.045? (Type a whole number.) e. Based on your answers to (c) and (d), how large a sample should the manager take? (Type a whole number.)
The branch manager of an outlet store (Store 1) of a nationwide chain of pet supply stores wants to study the 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 accompanying results are from a sample of 78 customers. Complete parts (a) through (e) below.
a. Construct a 95% confidence
(Round to two decimal places as needed.)
b. Construct a 99% confidence interval estimate for the population proportion of customers who own only a cat.
(Round to four decimal places as needed.)
c. The branch manager of another outlet (Store 2) wishes to conduct a similar survey in his store. The manager does not have access to the information generated by the manager of Store 1. What
(Type a whole number.)
d. How many customers need to be selected to have
99% confidence of estimating the population proportion of customers who own only a cat to within ±0.045?
(Type a whole number.)
e. Based on your answers to (c) and (d), how large a sample should the manager take?
(Type a whole number.)
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