Refer to Exercises 12 and 14. Suppose that the sample mean height of the twenty 16-year-old females is x̅ = 65.8 inches. Would this sample mean provide convincing evidence that the average height of all 16-year old females at this school is greater than 64 inches? Explain your reasoning.

Exercises 12 and 14.

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 σ = 2.5 inches. Assume this claim is true for the three hundred 16-year-old females at a large high school.

To see if the claim made in Exercise 12 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?

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 σ = 2.5 inches. Assume this claim is true for the three hundred 16-year-old females at a large high school.

Transcribed Image Text:

.. ... ..... ... 62.0 62.5 63.0 63.5 64.0 64.5 65.0 65.5 б6.0 *= simulated sample mean height (in.)