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Question 1 (4 points)

According to the National Center for Health Statistics, the distribution of height for 16-year-old females is modeled well by
a Normal density curve with mean µ-64 inches and standard deviation o-2.5 inches.
To see if the claim is true at their high school, an AP® Statistics class chooses an SRS of twenty 16-year-old females at the
school and measures their heights. In their sample, the mean height is 64.7 inches. Does this provide convincing evidence
that 16-year-old females at this school are taller than 64 inches, on average?
a. What is the evidence that the average height of all 16-year-old females at this school is greater than 64 inches, on
average?
b. Provide an explanation for the evidence described in part

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Answer: I'm not sure if I did this right so don't come for me..

Step-by-step explanation: Tall girls According to the National Center for Health Statistics, the distribution of heights for 16-year-old females is modeled well by a Normal density curve with mean inches and standard deviation inches. To see if this distribution applies at their high school, an AP Statistics class takes an SRS of of the -year-old females at the school and measures their heights. What values of the sample mean x would be consistent with the population distribution being ? To find out, we used Fathom software to simulate choosing SRSs of size students from a population that is .

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