The branch manager ofan outlet (store i) ofa nationwide chain of pet
The branch manager ofan outlet (Store I) ofa 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 as follows:
• Amount of money spent: X $2 1.34, S $9.22.
• 37 customers own only a dog.
• 26 eustomers own only a cat.
• 7 customers own more than one dog and/or cat.
a. Construct a 95% confidence interval estimate for the
population mean amount spent in the pet supply store.
b. Construct a 90% confidence interval estimate for 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 his store. The manager does not
have access to the information generated by the manager of
Store I. Answer the following questions:
c. What sample size is needed to have 95% confidence of
estimating the population mean amount spent in this store
to within ± $1.50 if the standard deviation is estimated to
d. How many customers need to be selected 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 to (c) and (d),
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