Question

The mean weight of all babies born at a hospital last year was 7.6 pounds. A...

The mean weight of all babies born at a hospital last year was 7.6 pounds. A random sample of 35 babies born at this hospital this year produced the following data:

8.2

9.1

6.9

5.8

6.4

10.3

12.1

9.1

5.9

7.3

11.2

8.3

6.5

7.1

8.0

9.2

5.7

9.5

8.3

6.3

4.9

7.6

10.1

9.2

8.4

7.5

7.2

8.3

7.2

9.7

6.0

8.1

6.1

8.3

6.7

a. What is the point estimate of the mean weight of babies born at this hospital this year?


b. Construct a 95% confidence interval for the mean weight of babies born at this hospital this year.


c. What sample size would you have to have to collect so that the margin of error (E) is 0.1 pound for a 95% confidence interval. Assume that the sample standard deviation is true for the population.


d. For a=.05, test whether the average weight of babies born at this hospital has increased over last year.

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