The heights of a population of students have a mean of 5’8” and
a standard deviation of 3 inches. For each of the following sample
sizes, find ??̅ and ??̅
a) Sample size n = 10 students
b) Sample size n = 100 students
c) Sample size n = 1000 students
The heights of a population of students have a mean of 5’8” and a standard deviation...
Consider the approximately normal population of heights male college students with mean = 74 invhes and standard deviation = 6.2 inches. A random sample of 10 heights is obtained. (b) Find the proportion of male college students whose height is greater than 74 inches (Give your answer correct to four decimal places.) X (c) Describe the distribution of x, the mean of samples of size 10. skewed right approximately normal skewed left chi-square (d) Find the mean of the x...
Women’s Heights Assume that Women’s heights are normally distributed with mean μ=63.6 in. and standard deviation σ=2.5 in. Use StatKey to answer the following questions. Include a screenshot from StatKey for each question. Find the percent of women with heights between 58.6 and 68.6 inches. Find the percent of women with heights between 60 inches and 65 inches. Find the height of a woman in the 95th percentile, (taller than 95% of other women.) Life Expectancy Part 4 From the...
The heights, in inches, of male orangutans have an unknown distribution with mean 51 and standard deviation 4 inches. A sample, with size n=65, is randomly drawn from the population and the values are added together. Using the Central Limit Theorem for Sums, what is the mean for the sample sum distribution?
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 = 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,...
The population standard deviation for the heights of dogs, in inches, in a city is 7.8 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken? z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576 Use the table above for the z-score, and be sure to round up to the nearest integer.
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 = 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,...
The population standard deviation for the heights of dogs, in inches, in a city is 7.7 inches. If we want to be 92% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken? z0.10: 1.282 z0.05: 1.645 z0.04: 1.751 z0.025: 1.960 z0.01: 2.326 z0.005: 2.576 Use the table above for the z-score, and be sure to round up to the nearest integer. Provide your answer below:
Which of the following statements is true about the standard deviation of X? A. It increases as the sample size n increases. B. It decreases as the sample size n increases. C. It changes each time a new sample is draw D. It does not change as the sample size n increases The standard deviation of the sampling distribution for a sample mean depends on the value(s) of A. neither the sample size nor the population standard deviation B. the...