Question

Among various ethnic groups, the standard deviation of heights is known to be approximately three inches. We wish to construct a 95% confidence interval for the mean height of males from sweden. Forty-eight males are surveyed from sweden. The sample mean is 71inches. The sample standard deviation is 2.8 inches.

1. what is the population standard deviation?

2.8 inches 3.0 inches 71 inches

2. what is the error bound margin?

.50 .80 1.00

3. what is the confidence level for the interval?

90% 95% 99%

4. what is the sample size?

40 44 48

5. what is the lower bound of the confidence interval?

70.2 71 71.8

6. what is the correct conclusion?

with 95% confidence, the population mean falls between 71.0 and 71.8 inches

with 95% confidence, the population mean falls between 70.2 and 71.8 inches

with 95% confidence, the population mean falls between 70.2 and 71.0 inches

7. what is the sample mean?

2.8 inches 3.0 inches 71 inches

8. what is the upper bound of the confidence interval?

70.2 71 71.8

Answer 1

1. what is the population standard deviation?

3.0 inches

2. what is the error bound margin?

0.80

3. what is the confidence level for the interval?

95%

4. what is the sample size?

48

5. what is the lower bound of the confidence interval?

70.2

6. what is the correct conclusion?

with 95% confidence, the population mean falls between 70.2 and 71.8 inches

7. what is the sample mean?

71 inches

8. what is the upper bound of the confidence interval?

71.8

71.00	mean 1
2.80	std. dev.
0.40	std. error
48	n
47	df
70.2	confidence interval 95.% lower
71.8	confidence interval 95.% upper
0.81	margin of error

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