(a) What is the best estimate of the population mean?

(a) what is the probability that the sample mean is between 7.8 and 8.2 minutes?

(b) what is the probability that sample mean is between 7.5 and 8 minutes?

(c) if you select a random sample of 100 sessions, what is the probability that the sample mean is between 7.8 and 8.2 minutes?

(b) Determine a 95 percent confidence interval.

(c) Would it be reasonable to conclude that the population mean is $50?

3. Suppose the Triump government wants to estimate of proportion of the population who support the current policy toward revisions in the health care system. The government selects 1000 cases by simple random sampling from population. The supporter is 300. Please construct a 95% confidence interval estimate for the proportion of population. And interpret it.

4. If the likelihood of a tagged order form is 0.1, what is the probability that there are three tagged order forms in the sample of four? What is the probability that there are less than three tagged order forms in the sample of four?

5. You are a project manager for the MyLine website, an online service that streams movies and episodes from broadcast and cable TV series and that allows users to upload and share original video. Past data indicate that the mean download time is 7 seconds and that the standard deviation is 2 seconds. What is the probability that the video download time for the MyLine website will more than 9 seconds? What is the probability that video download time for the MyLine website will be between 5 and 9 seconds?  

1. sampling distribution 抽樣分配

2. the standard error of the mean 平均數的標準誤

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