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In: Statistics and Probability

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: n=45 and x over bar=144.44 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigma=30.15 lb.

The best point estimate is ____lb

The 95% confidence interval estimate is ___lb<μ<___lb

Solutions

Expert Solution

Solution :

Given that,

Point estimate = sample mean = = 144.44 lb

population standard deviation = = 30.15 lb

Sample size = n = 45

Z/2 = 1.96

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

= 1.96 * (30.15 / 45)

Margin of error = E = 8.81

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

- E < < + E

144.44 - 8.81 < < 144.44 + 8.81

135.63 < < 153.25

The 95% confidence interval estimate is 135.63 lb < μ < 153.25 lb

orchestra answered 2 years ago
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