Can you please help me with these questions?

1. The confidence interval for the population mean is often presented as

Lower Limit<

or

xME (Sample MeanMargin of Error)

Use your knowledge of the confidence interval to determine the missing values for the 3 confidence intervals in the table below.

Report answers accurate to 2 (two) decimal places.

	Sample Mean	Margin of Error	Lower Limit	Upper Limit
Interval 1	147.91			155.3
Interval 2		9.24	138.2
Interval 3	44.79	1.79

2. For each confidence level in the table below, determine the right-tail area (/2) and the corresponding critical z-value (z_/2).

Report right-tail area as decimal (not percent) accurate to 4 decimal places. Report (positive) critical values accurate to 2 decimal places.

Confidence Level	Right Tail Area (/2)	Critical Value (z/2)
86.9%
89.9%
99.5%

The results show that the smaller the confidence level, the _______ (choose one: smaller or greater) the tail area, and the _______ (choose one: smaller or greater) the critical value.

3. You measure 42 textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population is normally distributed with a standard deviation of 14.2 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight. Give your answers correct to at least two decimal places. Lower Limit = Upper Limit =

4. Assume that number of cases of COVID-19 per day in a city are normally distributed. A sample of 26 days revealed the average number of cases to be 305 with a population standard deviation of 51.

Round your answer for part (a) to the nearest whole number.

(a) What is the point estimate for the population number of cases of that city per day?

Round your answer for part (b) to 3 decimal places.

(b) What is the critical value that will need to be used to calculate a 90% confidence interval?

Round your answers for part (c) to the nearest whole number.

(c) What is the 90% confidence interval for the number of COVID-19 cases per day: _____ << ______

5. You measure 29 watermelons' weights, and find they have a mean weight of 66 ounces. Assume thepopulation standard deviationis 7.2 ounces. Based on this, construct a 99% confidence interval for the true population mean watermelon weight. Give your answers asxME, to two decimal places _______ _______ ounces