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The number of semester hours of college credit taken by first-time candidates for a certain professional exam has a Normal distribution with a mean of 120 hours and a standard deviation of 16 hours. Consider a random sample of n first-tim candidates for the exam and let x represent the mean number of hours of college credit taken for the sample. Complete parts a through e below. 9 Click the icon to view the table of normal curve areas. a. Describe the shape of the sampling distribution of x. O A. The shape is Normal distribution only when sample size is greater than 30 O B. The shape is Normal distribution for any sample size OC. is always the same as the distribution of the population O D. The shape is skewed right b. If 16 first-time candidates for the exam are randomly selected, what is the probability that the mean number of hours of college credit taken by these students x is between 118 and 122 hours? P(118

The number of semester hours of college credit taken by first-time candidates for a certain professional exam has a Normal distribution with a mean of 120 hours and a standard deviation of 16 hours. Consider a random sample of n first-tim candidates for the exam and let x represent the mean number of hours of college credit taken for the sample. Complete parts a through e below. 9 Click the icon to view the table of normal curve areas. a. Describe the shape of the sampling distribution of x. O A. The shape is Normal distribution only when sample size is greater than 30 O B. The shape is Normal distribution for any sample size OC. is always the same as the distribution of the population O D. The shape is skewed right b. If 16 first-time candidates for the exam are randomly selected, what is the probability that the mean number of hours of college credit taken by these students x is between 118 and 122 hours? P(118

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The number of semester hours of college credit taken by first-time candidates for a certain professional exam has a Normal distribution with a mean of 120 hours and a standard deviation of 16 hours. Consider a random sample of n first-time candidates for the exam and let x represent the mean number of hours of college credit taken for the sample. Complete parts a through e below. Click the icon to view the table of normal curve areas. ..... a. Describe the shape of the sampling distribution of x. A. The shape is Normal distribution only when sample size is greater than 30 B. The shape is Normal distribution for any sample size O C. is always the same as the distribution of the population D. The shape is skewed right b. If 16 first-time candidates for the exam are randomly selected, what is the probability that the mean number of hours of college credit taken by these students x is between 118 and 122 hours? P(118 < x <122) = (Round to four decimal places as needed.) c. If 64 first-time candidates for the exam are randomly selected, what is the probability that the mean number of hours of college credit taken by these students x is between 118 and 122 hours? P(118 < x <122) : d. Which of the following is the correct graph of the probabiity density functions of x , assuming red = sample size 16, green = sample size 64. (Round to four decimal places as needed.) %3D O A. 0+ 108 112 116 120 124 128 132
Transcribed Image Text:The number of semester hours of college credit taken by first-time candidates for a certain professional exam has a Normal distribution with a mean of 120 hours and a standard deviation of 16 hours. Consider a random sample of n first-time candidates for the exam and let x represent the mean number of hours of college credit taken for the sample. Complete parts a through e below. Click the icon to view the table of normal curve areas. ..... a. Describe the shape of the sampling distribution of x. A. The shape is Normal distribution only when sample size is greater than 30 B. The shape is Normal distribution for any sample size O C. is always the same as the distribution of the population D. The shape is skewed right b. If 16 first-time candidates for the exam are randomly selected, what is the probability that the mean number of hours of college credit taken by these students x is between 118 and 122 hours? P(118 < x <122) = (Round to four decimal places as needed.) c. If 64 first-time candidates for the exam are randomly selected, what is the probability that the mean number of hours of college credit taken by these students x is between 118 and 122 hours? P(118 < x <122) : d. Which of the following is the correct graph of the probabiity density functions of x , assuming red = sample size 16, green = sample size 64. (Round to four decimal places as needed.) %3D O A. 0+ 108 112 116 120 124 128 132
0+ 108 112 116 120 124 128 132 OC. 0+ 108 112 116 120 124 128 132 B.
Transcribed Image Text:0+ 108 112 116 120 124 128 132 OC. 0+ 108 112 116 120 124 128 132 B.
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