Based on a sample of 450 students, we found the average height is 165cm, with a standard deviation of 6cm. a) Approximately how many percent of students are between 147 to 183cm? b) Assuming the histogram of height follows the normal distribution, approximately how many students have a height between 147 to 159cm? c) Assuming the histogram of height has a right skewed distribution, calculate the range of the height that will cover at least 71% of the students?
Since we are given with the mean and standard deviation of the sample, we have a clear indication to use the normal distribution here. We can also use the Excel commands to solve this problem. =NORMDIST(X, Mean, Standard Deviation, TRUE) is the command to solve this problem. To get the value between the intervals, subtract the p-value obtained from bigger value to the smaller value using the NORMDIST function.


Based on a sample of 450 students, we found the average height is 165cm, with a...
Consider the approximately normal population of heights of male college students with mean μ = 66 inches and standard deviation of σ = 4 inches. A random sample of 25 heights is obtained. (a) Describe the distribution of x, height of male college students. -skewed right -approximately normal -skewed left -chi-square (b) Find the proportion of male college students whose height is greater than 74 inches. (Give your answer correct to four decimal places.) (c) Describe the distribution of x,...
My hotes Asa Your consider the approximately normal population of heights of male college students with mean"-68 inches and standard deviation of σ-43 inches. A random u ple obtained igts (a) Describe the distribution of x, height of male college students skewed right approximately normal skewed lef chi-square b) Find the proportion of male college students whose height is greater than 69 inches. (Give yeur answer correct to four decimal places) (c) Describe the distribution of x, the mean of...
A sample of call duration between different UPRM students is found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 minutes. Calculate a 99% confidence interval for the mean call duration (minutes), assuming an approximately normal distribution. Select one: o b. p c. t O d. any of the above
A sample of call duration between different UPRM students is found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 minutes. Calculate a 99%...
Question 23 e 4 pts Question Question Question Suppose students' ages follow a skewed right distribution with a mean of 22 years old and a standard deviation (SD) of 8 years. If we randomly sample 256 students, which of the following statements about the sampling distribution of the sample mean age is correct? Time Running Attempt due: Jul 31 50 Minutes, 33 24/7 Proctori The shape of the sampling distribution is right skewed with mean 8. Calcula Live The distribution...
One- and two-sided tests We know the male students' height is approximately normal, and has standard deviation 4 inches. In a sample of 10 male students, the mean height is 68 inches. Calculate the p value corresponding to the following null hypotheses. Ho The average height of male students in this college is 70 inches. H1 : The average height of male students in this college is not 70 inches. Ho :The average height of male students in this college...
Consider the approximately normal population of heights of male college students with mean μ = 67 inches and standard deviation of σ = 3.1 inches. A random sample of 16 heights is obtained. (a) Describe the distribution of x, height of male college students. skewed right approximately normal skewed left chi-square (b) Find the proportion of male college students whose height is greater than 67 inches. (Give your answer correct to four decimal places.) (c) Describe the distribution of x,...
Consider the approximately normal population of heights of male college students with mean μ = 65 inches and standard deviation of σ = 3.9 inches. A random sample of 12 heights is obtained. (a) Describe the distribution of x, height of male college students. 1) skewed right 2) approximately normal 3) skewed left 4) chi-square (b) Find the proportion of male college students whose height is greater than 70 inches. (Give your answer correct to four decimal places.) (c) Describe...
Consider the approximately normal population of heights of male college students with mean μ = 72 inches and standard deviation of σ = 5 inches. A random sample of 22 heights is obtained. (a) Describe the distribution of x, height of male college students. skewed right approximately normal skewed left chi-square (b) Find the proportion of male college students whose height is greater than 73 inches. (Give your answer correct to four decimal places.) (c) Describe the distribution of x,...
If we are considering a population that is approximately normal and we choose the sample size of n = 3, what is likely true about the shape of the sampling distribution of the sample mean? a)The shape of the sampling distribution of the sample mean is skewed left because the sample size is less than 30. b)The shape of the sampling distribution of the sample mean is skewed right because the sample size is less than 30. c)The shape of...
Suppose a researcher believes that the average height of female
students in a large local high school is 140 cm. The researcher
wants to construct an interval that contains the true average
height of all female students in the local high school with a
certain prespecified probability. The researcher selects 36 female
students at random from the high school. The distribution of
heights is known to follow a normal distribution.
Suppose a researcher believes that the average height of female...