Astatistics class is estimating the mean height of all female students at their college. they collect a random sample of 36 female students and measure their heights. the mean of the sample is 65.3 inches. the standard deviation is 5.2 inches. what is the 90% confidence interval for the mean height of all female students in their school? assume that the distribution of individual female heights at this school is approximately normal? (56.5, 74.1) (63.6, 67.0) (63.8, 66.8) (63.9, 66.7) question 3

Fourth option is correct.

Step-by-step explanation:

Since we have given that

Mean of sample = 65.3

Standard deviation = 5.2

We need to find the 90% confidence interval for the mean.

So, z = 1.64

And the interval would be

Hence, Fourth option is correct.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

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step-by-step explanation: