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.

sagnuhh 2020-12-14 Answered
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.
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

Expert Answer

SabadisO
Answered 2020-12-15 Author has 108 answers
Step 1
From the provided information, the sample size for men is 50 and the sample size for women is also 50.
Step 2
According to the central limit theorem the sampling distribution of sample means approaches a normal distribution as the sample size gets larger. The sample sizes are large enough to be assumed as normally distributed. Therefore, there is no need to confirm that the samples are from population with normal distributions. Thus, the statement is true.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

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

Relevant Questions

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 2021-07-02
One bushel of apples from a dwarf apple tree is equal to 42 pounds. Write an expression to find the number of pounds of apples in any number of bushels. If one tree can produce 6 bushels, how many pounds of apples will an orchard of 100 trees produce?
asked 2020-12-22
Select the best answer.
A statistic is an unbiased estimator of a parameter when (a) the statistic is calculated from a random sample. (b) in a single sample, the value of the statistic is equal to the value of the parameter. (c) in many samples, the values of the statistic are very close to the value of the parameter. (d) in many samples, the values of the statistic are centered at the value of the parameter. (e) in many samples, the distribution of the statistic has a shape that is approximately Normal.
asked 2021-02-12
(c) Give a brief outline describing how the sample size for a predetermined error tolerance and level of confidence is determined from the normal distribution.
asked 2020-11-05
For a variable that is normally distributed with a mean of 50 and a standard deviation of 5, approximately _? of the scores are between _?.
A)95%, 45 and 55
B)95%, 40 and 60
C)68%, 40 and 60
D)95%, 35 and 65
E)99%, 40 and 60