1-Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 18 mortgage institutions, the mean interest rate was 3.48% and the standard deviation was 0.36%. Assume the interest rates are normally distributed.The 99% confidence interval is (__,___) ( round two decimal places as needed)2-Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results.In a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed.The 95% confidence interval is (__,__) (Round to two decimal places as needed.) Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpretthe results.In a random sample of 18 mortgage institutions, the mean interest rate was 3.48% and the standard deviation was 0.36%. Assume the interest rates are normally distributed.Which distribution should be used to construct the confidence interval?OA. Use a normal distribution because n<30 and the interest rates are normally distributed.B. Use a t-distribution because it is a random sample, o is unknown, and the interest rates are normally distributed.OC. Use a t-distribution because the interest rates are normally distributed and σ is known.OD. Use a normal distribution because the interest rates are normally distributed and a is known.OE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n<30, and the interest rates are not normally distributed.Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.A. The 99% confidence interval is (0).(Round to two decimal places as needed.) Kthe results.Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. InterpretIn a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume theyards per carry are normally distributed.4.33.71.64.65.35.54.65.77.43.37.2Which distribution should be used to construct the confidence interval?OA. The 95% confidence interval is (.).(Round to two decimal places as needed.)5.63.37.34.2...6.76.72.87.21.36.2OA Use a t-distribution because n<30 and o is known.B. Use a normal distribution because o is known and the data are normally distributed.OC. Use a t-distribution because n < 30 and o is unknown.OD. Use a normal distribution because n<30, the data are normally distributed and is unknown.O E. Cannot use the standard normal distribution or the t-distribution because o is unknown, n<30, and the data are not normally distributed.Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.1.85.75.26.3D

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: Use the standard normal distribution or…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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1-Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 18 mortgage institutions, the mean interest rate was 3.48% and the standard deviation was 0.36%. Assume the interest rates are normally distributed. The 99% confidence interval is (__,___) ( round two decimal places as needed) 2-Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume the yards per carry are normally distributed. The 95% confidence interval is (__,__) (Round to two decimal places as needed.)

Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret
the results.
In a random sample of 18 mortgage institutions, the mean interest rate was 3.48% and the standard deviation was 0.36%. Assume the interest rates are normally distributed.
Which distribution should be used to construct the confidence interval?
OA. Use a normal distribution because n<30 and the interest rates are normally distributed.
B. Use a t-distribution because it is a random sample, o is unknown, and the interest rates are normally distributed.
OC. Use a t-distribution because the interest rates are normally distributed and σ is known.
OD. Use a normal distribution because the interest rates are normally distributed and a is known.
OE. Cannot use the standard normal distribution or the t-distribution because o is unknown, n<30, and the interest rates are not normally distributed.
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
A. The 99% confidence interval is (0).
(Round to two decimal places as needed.)

K
the results.
Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret
In a recent season, the population standard deviation of the yards per carry for all running backs was 1.28. The yards per carry of 25 randomly selected running backs are shown below. Assume the
yards per carry are normally distributed.
4.3
3.7
1.6
4.6
5.3
5.5
4.6
5.7
7.4
3.3
7.2
Which distribution should be used to construct the confidence interval?
OA. The 95% confidence interval is (.).
(Round to two decimal places as needed.)
5.6
3.3
7.3
4.2
...
6.7
6.7
2.8
7.2
1.3
6.2
OA Use a t-distribution because n<30 and o is known.
B. Use a normal distribution because o is known and the data are normally distributed.
OC. Use a t-distribution because n < 30 and o is unknown.
OD. Use a normal distribution because n<30, the data are normally distributed and is unknown.
O E. Cannot use the standard normal distribution or the t-distribution because o is unknown, n<30, and the data are not normally distributed.
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
1.8
5.7
5.2
6.3
D

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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