Question

1. Achievement test scores of all high school seniors in a state have mean 60 and variance 64. A random sample of n = 100 students from one large high school had a mean score of 58. Is there evidence to suggest that this high school is inferior? (Calculate the probability that the sample mean is at most 58 when n = 100.) Show the appropriate graph of the sample mean. 2. A brand of refrigerators, denoted A is guaranteed for 1 year. In a random sample of 50 refrigerators of brand A, 12 were observed to fail before the guarantee period ended. Estimate the true proportions of failures during the guarantee period, with 98% confidence interval. State the conclusion sentence and find the point estimator for the population proportion. 3. A state wildlife service wants to estimate the mean number of days that each licensed hunter actual hunts during a given season, with a margin of error estimation equal to 2 hunting days. If data collected in earlier surveys have shown ? to be approximately equal to 10, how many hunters must be included in the survey with a 90% confidence interval?

          1. Achievement test scores of all high school seniors in a state have mean 60 and variance 64. A random sample of n = 100 students from one large high school had a mean score of 58. Is there evidence to suggest that this high school is inferior? (Calculate the probability that the sample mean is at most 58 when n = 100.) Show the appropriate graph of the sample mean.

2. A brand of refrigerators, denoted A is guaranteed for 1 year. In a random sample of 50 refrigerators of brand A, 12 were observed to fail before the guarantee period ended. Estimate the true proportions of failures during the guarantee period, with 98% confidence interval. State the conclusion sentence and find the point estimator for the population proportion.

3. A state wildlife service wants to estimate the mean number of days that each licensed hunter actual hunts during a given season, with a margin of error estimation equal to 2 hunting days. If data collected in earlier surveys have shown ? to be approximately equal to 10, how many hunters must be included in the survey with a 90% confidence interval?

Added by Sean W.

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