Reference no: EM132514558
a. If X = 85, σ = 8, and n = 64, construct a 95% confidence interval estimate of the population mean μ.
b. If X = 125, σ = 24, and n = 36, construct a 99% confidence interval estimate of the population mean μ.
c. A telephone company wants to estimate the proportion of mobile phone users who would purchase a phone plan with internet capability if it were made available at a substantially reduced cost. A random sample of 500 customers is selected. The results indicate that 190 of the customers would purchase the plan at a reduced cost. Construct a 99% confidence interval estimate of the population proportion of customers that would purchase the internet mobile phone plan.
a. If X = 75, S = 24, n = 36, and assuming that the population is normally distributed, construct a 95% confidence interval estimate of the population mean μ.
b. If X = 50, S = 15, n = 16, and assuming that the population is normally distributed, construct a 99% confidence interval estimate of the population mean μ.
The average capacity usage for iPhone users has been estimated as 400 megabytes per month. Assuming this finding to be based on a simple random sample of 80 iPhone users, with a sample standard deviation of 90 megabytes per month, construct and interpret 95% and 99% confidence intervals for the population mean usage per month. Given these confidence intervals, would it seem very unusual if another sample of this size were to have a mean of 350.0 megabytes per month?
4. A consumer group wants to estimate the mean electric bill for the month of July for single family homes in a large city. Based on studies conducted in other cities, the standard deviation is assumed to be $60. The group wants to estimate the mean bill within ± $15 with 99% confidence. a. What sample size is needed? b. If 95% confidence is desired, what sample size is needed?
5. If you wanted to be 95% confident of estimating the population proportion to within an error of ± 0.02, and there is historical evidence the population proportion is approximately 0.40, what is the sample size needed?
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Estimate of the population mean µ
: a. If X = 85, s = 8, and n = 64, construct a 95% confidence interval estimate of the population mean µ.
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