In: Statistics and Probability
1.) Suppose that the population mean and population variance of per capital health care expenditure are $11,000 and 9, respectively. What is the probability that the sample mean from a random sample sample of size 900 is within .1 of the population mean? (round to 3 digits)
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2.)
We have a random sample of 45 customer satisfaction surveys. Customer satisfaction is coded as
-2 for ”Really unhappy with service”
-1 for ”Unhappy with service”
0 for ”Okay with service”
1 for ”Happy with service”
2 for ”Really happy with service”
The sample mean is 1.3. The sample variance is 9. What is the left end point of a 98% confidence interval
for the population customer satisfaction? (Two digits after the decimal point)