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The mean height of women in the United States (ages 20-29) is 64.2 inches with a...

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Statistics

The mean height of women in the United States (ages 20-29) is64.2 inches with a standard deviation of 2.9 inches. A randomsample of 60 women in this age group is selected. Assume that thedistribution of these heights is normally distributed.

Are you more likely to randomly select 1 woman with a heightmore than 70 inches or are you more likely to select a randomsample of 20 women with a mean height more than 70 inches? Showwork necessary to answer this question: sketch both distributionsand calculate each probability.

A) Sketch the distribution of women’s heights in the UnitedStates (age 20-29). Label the mean, label at least two standarddeviations in each direction and shade the area in question.Calculate the probability that a randomly selected woman will havea height more than 70 inches. Show your work.

B) Sketch the sampling distribution of sample mean heights forrandom samples of 20 women in the United States (age 20-29). Labelthe mean, label at least two standard deviations in each directionand shade the area in question. Calculate the probability that arandom sample of 20 women will have a mean height more than 70inches. Show your work.

C) Which is more likely? Explain. Provide your answer as asentence.

Answer & Explanation Solved by verified expert
4.3 Ratings (670 Votes)
A PX 70 PX 70 PZ 70 64229 PZ 2 1 PZ 2 1    See Answer
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