Question

Using the simple random sample of weights of women from a data​ set, we obtain these...

Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals40 and x overbarequals144.09 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigmaequals32.28 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. Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING...

Homework Answers

Answer #1

Solution :

Given that,

Sample size = n = 40

Z/2 = 1.96

Margin of error = E = Z/2* ( /n)

=1.96 * (32.28 / 40)

= 10.00

At 95% confidence interval estimate of the population mean is,

- E < < + E

144.09 - 10.00 < < 144.09 + 10.00

134.09 < < 154.09

(134.09 , 154.09)

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