Please help solve: "In a random sample of 21 ​people, the mean commute time...", etc.

vamegs45

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Please help solve: "In a random sample of 21 ​people, the mean commute time...", etc.

These are the last 3 questions I have to finish this really long assignment and I just don't get it. Can anyone please help me?

1.) Construct the indicated confidence interval for the population mean μ using a​ t-distribution. c=0.99, x over bar x=110​, s=10​, n=27.

The confidence interval is _, _


2.) In a random sample of 21 ​people, the mean commute time to work was 31.1 minutes and the standard deviation was 7.3minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 95​% confidence interval for the population μ. What is the margin of error of μ​?
Interpret the results.

The confidence interval for the population μ is_, _

3.) Let p be the population proportion for the following condition. Find the point estimates for p and q.
In a survey of 1547 adults from country​ A, 623 said that they were not confident that the food they eat in country A is safe.

The point estimate for​ p, p is
The point estimate for​ q, q is
 
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