Question

In: Statistics and Probability

Do this one by hand. Suppose we measured the height of 5,000 men and found that...

Do this one by hand. Suppose we measured the height of 5,000 men and found that the data were normally distributed with a mean of 70.0 inches and a standard deviation of 4.0 inches. Answer the questions using Table A and show your work:

What proportion of men can be expected to have heights Less than 75 inches?

Solutions

Expert Solution


Related Solutions

1. (20 pts) Do this one by hand. Suppose we measured the height of 5,000 men...
1. (20 pts) Do this one by hand. Suppose we measured the height of 5,000 men and found that the data were normally distributed with a mean of 70.0 inches and a standard deviation of 4.0 inches. Answer the questions using Table A and show your work: What proportion of men can be expected to have heights less than 66 inches? Less than 75 inches? .1587 and .8944 What proportion of men can be expected to have heights greater than...
T-Test A research team measured 70 American men’s height. The average height of these men is...
T-Test A research team measured 70 American men’s height. The average height of these men is 176cm and the sample variance is 16. Is the average height of American males different from 174cm? a) State the null and alternative hypotheses b) Compute the t-statistics c) Draw the statistical conclusion (at 95% confidence level)
A large study of the heights of 880 adult men found that the mean height was...
A large study of the heights of 880 adult men found that the mean height was 70 inches tall. The standard deviation was 4 inches. If the distribution of data was normal, what is the probability that a randomly selected male from the study was between 66 and 78 inches tall? Use the 68-95-99.7 rule (sometimes called the Empirical rule or the Standard Deviation rule). For example, enter 0.68, NOT 68 or 68%..
Suppose that the height of Australian men is normally distributed with a mean of 175cm and...
Suppose that the height of Australian men is normally distributed with a mean of 175cm and standard deviation of 5cm. i. What is the probability that a Australian man's height will be between 180cm and 190cm?    ii. What is the probability that a Australian man's height will be less than 190cm? iii. Ten percent (10%) of Australian men were taller than what height?
Suppose the height of adult men in the US is roughly normally distributed with a mean...
Suppose the height of adult men in the US is roughly normally distributed with a mean of 80 inches and a standard deviation of 6 inches. (a) What is the probability of an adult male being taller than 70 inches? (b) Approximately 15% of adult men are shorter than how many inches?
PLEASE DO BY HAND AND NOT EXCEL Suppose we have the following data on variable X...
PLEASE DO BY HAND AND NOT EXCEL Suppose we have the following data on variable X (independent) and variable Y (dependent): X         Y 2          70 0          70 4          130 a. Test to see whether X and Y are significantly related using a t-test on the slope of X. Test this at the 0.05 level. b. Test to see whether X and Y are significantly related using an F-test on the slope of X. Test this at the 0.05 level.
In a sample of 169 trees, we found that a pear tree grow to average height...
In a sample of 169 trees, we found that a pear tree grow to average height of 32 feet and a sample standard deviation of 5 feet. The distribution is approximately normal. Find the 95% confidence interval for the mean population.
Suppose we are studying the effect of diet on height of children, and we have two...
Suppose we are studying the effect of diet on height of children, and we have two diets to compare: diet A (a well-balanced diet with lots of broccoli) and diet B (a diet rich in potato chips and candy bars). We wish to find the diet that helps children grow faster. We have decided to use 20 children in the experiment, and we are contemplating the following methods for matching children with diets: i. Let them choose. ii. Take the...
Suppose that height Y and arm span X for U.S. women, both measured in cm, are...
Suppose that height Y and arm span X for U.S. women, both measured in cm, are normally distributed with means E(Yi) = 168, E(Xi) = 165, variances var(Yi) = 21, var(Xi) = 28, and covariance cov(Xi, Yi) = 20 for measurements on the same individual. For the purpose of this question, the variables are jointly normally distributed, and the values are independent for distinct individuals. Part a: The correlation between height and arm span is _______ Part b: The ‘albatross...
How do we produce PMMA? one page long essay please not hand write its hard to...
How do we produce PMMA? one page long essay please not hand write its hard to read
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT