# STAT Ch. 7.3 HW - 1 Using the simple random sample of...

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1. Using the simple random sample of weights of women from a data set, we obtain these sample statistics: n=40 and x overbar=145.02 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by σ=30.08 lb. a. Find the best point estimate of the mean weight of all women. b. Find a 95% confidence interval estimate of the mean weight of all women.
2. Salaries of 34 college graduates who took a statistics course in college have a mean, x overbar x, of \$67,300. Assuming a standard deviation, σ, of \$16 comma 03016,030, construct a 95% confidence interval for estimating the population mean μ.
3. Which of the following would be a correct interpretation of a 99% confidence interval such as 4.1 less than<μ<5.6?
4. Do one of the following, as appropriate. (a) Find the critical value z Subscript alpha divided by zα/2, (b) find the critical value t Subscript alpha divided by 2tα/2, (c) state that neither the normal nor the t distribution applies.
5. 95%; n=200200; σ=19.0; population appears to be skewed