In a recent study of 42 eighth grades, the mean number of hours per week that th

Question

In a recent study of 42 eighth grades, the mean number of hours per week that they watched television was 19.6 with a standard deviation of 5.8 hours. Find the 98% confidence interval for the population mean. (19.1, 20.4) (18.3, 20.9) (14.1, 23.2) (17.5, 21.7) Provide an appropriate response. A 96% confidence interval for a population mean has a margin of error of 3.9. If the sample mean is 54.6 obtain the 96% confidence interval. from 50.7 to 54.6 from 46.8 to 62.4 from 50.7 to 58.6 from 52.64 to 56.66 from 46.96 to 62.24

Explanation / Answer

Question 2

98 % confidence interval = xbar +- tdF,alpha/2 (s/n) = xbar +- t41,0.01 (s/n)

= 19.6 +- 2.42 * (5.8/ 42)

= (17.5 21.7)

Question 3

sample mean = 54.6

margin of error = 3.9

95% confidence interval = Sample mean +- Z95% * Margin of error

= 54.6 +- 1.96 * 3.9

= (46.96, 62.24)

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