The heights of people of the same gender and similar ages follow Normal distributions reasonably closely. How about body weights? The weights of women aged 20 to 29 have mean 141.7 pounds and median 133.2 pounds. The first and third quartiles are 118.3 pounds and 157.3 pounds. Is it reasonable to believe that the distribution of body weights for women aged 20 to 29 is approximately Normal? Explain your answer.

Milton Anderson 2022-09-11 Answered
The heights of people of the same gender and similar ages follow Normal distributions reasonably closely. How about body weights? The weights of women aged 20 to 29 have mean 141.7 pounds and median 133.2 pounds. The first and third quartiles are 118.3 pounds and 157.3 pounds. Is it reasonable to believe that the distribution of body weights for women aged 20 to 29 is approximately Normal? Explain your answer.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Peyton Cox
Answered 2022-09-12 Author has 18 answers
Given:
Mean
Median​
=141.7
=133.2​
We note that the mean is much larger than the median.
Since the mean is not resistant and the median is resistant, the mean is influenced more by unusually large/small data values. In this case, the mean is larger than the median, which indicates that there are unusually large data values and thus the distribution is skewed to the right.
However, the Normal distribution is symmetric and thus the distribution of body weights does not appear approximately Normal.
Result:
No, because the distribution appears to be skewed to the right.

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-02-25
Explain why t distributions tend to be flatter and more spread out than the normal distribution.
asked 2021-02-27
The manager of the store in the preceding exercise calculated the residual for each point in the scatterplot and made a dotplot of the residuals.
The distribution of residuals is roughly Normal with a mean of $0 and standard deviation of $22.92.
The middle 95% of residuals should be between which two values? Use this information to give an interval of plausible values for the weekly sales revenue if 5 linear feet are allocated to the stores
asked 2021-05-03
Describe in words the surface whose equation is given. (assume that r is not negative.) θ=π4
a) The plane y=z where y is not negative
b) The plane y=z where y and z are not negative
c) The plane y=x where x and y are not negative
d) The plane y=x where y is not negative
e) The plane x=z where x and y are not negative
asked 2022-02-23

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial security was more than fair. Just a year before, a sample of 900 adults showed 315
indicating that their financial security was more than fair.
a. State the hypotheses that can be used to test for a significant difference between the
population proportions for the two years.
b. Conduct the hypothesis test and compute the p-value. At a .05 level of significance,
what is your conclusion?
c. What is the 95% confidence interval estimate of the difference between the two
population proportions? What is your conclusion?

asked 2021-08-18
Assume that females have pulse rates that are normally distributed with a mean of 74. 0 beats per minute and a standard deviation of 12.5 beats per minute.
If 1 adult female is randomly selected, find the probability that her pulse rate is greater than 70 beats per minute.
asked 2021-09-04
Each child has probability 25% of having blood type O. We have 22 children and we want to find the odds that exactly 2 of them have type O blood. Find the expected value.
asked 2020-12-14
True? Determine whether the following statement is true: When random samples of 50 men and 50 women are obtained and we want to test the claim that men and women have different mean annual incomes, there is no need to confirm that the samples are from populations with normal distributions.

New questions