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The branch manager of an outlet 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
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