Test: Test 5 - Chapter 7 Time Remaining: 01:29:33 Submit Test This Question: 1 p

Question

Test: Test 5 - Chapter 7 Time Remaining: 01:29:33 Submit Test This Question: 1 pt This Test: 13 pts possible Using the simple random sample of weights of women from a data set, we obtain these sample statistics n-35 and x - 145.48 b Research from other sources suggests that the population of weights of women has a standard deviation given by ? 31.42 lb a. Find the best point estimate of the mean weight of all women. b. Find a 90% confidence interval estimate of the mean weight of all women rmal distribution table. a.The best point estimate is[]b. (Type an integer or a decimal.) b, The 90% (Round to two decimal places as needed) OType here to 2 3

Explanation / Answer

We have the following values-

Sample size, n = 35

Sample Mean, x = 145.48

Population SD,? = 31.42

a) Point Estimate - The best estimate of the population mean is the sample mean x

Here the value of the best point estimate is 145.48

b) We need to find CI for the population mean, ?

? = x +- Z*?/sqrt(n)

Where Z is the value from normal distribution for 90% CI and is given by Z = 1.65

? = 145.48 +- 1.65*31.42/sqrt(35)

= 145.48 +- 8.76

= (136.72, 154.24)

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