Statistics
posted by Clay .
A simple random sample of 50 female 14yearolds is selected. The sample mean height of the girls is found to be 62 inches. Assume the height of 14yearold girls is normally distributed with a standard deviation of 5 inches.
1. Based on these data, a 95% confidence interval for the true mean height of all
14yearold girls is:
A) 62 +/ 1.96
B) 62 +/ 1.386
C) 62 +/ 1.645
D) 62 +/ 0.196
2. Which of the following correctly interprets the 95% confidence interval for the true
mean height of all 14yearold girls?
A) We can be 95% confident that the sample mean height of 14yearold girls is within
the confidence interval obtained.
B) If this study were to be repeated with a sample of the same size, there is a 0.95
probability that the sample mean height of 14yearold girls would be in the interval
obtained.
C) We can be 95% confident that the population mean height of all 14yearold girls is
within the interval obtained.
D) 95% of all 14yearold girls have heights within the interval obtained.
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