A) These are heights and weights for five randomly-selected adults. Units are centimeters and kilograms, respectively.
height 183 172 190 167 193
weight 91 83 99 83 104

a. Find a linear regression equation which predicts weight as a function of height. Be sure to define your variables clearly.
b. According to your equation, what should a 160-centimeter adult weigh?
c. Explain why the prediction in part (b) is likely to be close to correct, or explain why it probably is not.

B)Here are the weights of two samples of nuts:
S = {1.07, 1.15, .99, 1.41, 1.26, 1.09, 1.16, 1.2}
T = {1.21, .7, 1.55, 1.19, .9, 1.38, 1.15, 1.01}
a. Demonstrate that it is not unreasonable to believe that the samples are drawn from normal populations.
b. Can you be 99% certain that the samples came from populations with different means? Justify your answer. Include a statement in plain English.
c. Can you be 95% certain that the standard deviation of the population from which S was drawn is less than the standard deviation of the population from which T was drawn? Justify your answer. Include a statement in plain English.

c) A randomly-selected group of 21 people were each asked to play a new video game. Below are the numbers of points they scored. The scores are grouped according to the age, in years, of the players.
below 20 {23, 51, 42, 36, 29, 44, 53}
20 to 40 {42, 33, 20, 45, 55, 22, 30}
above 40 {31, 25, 24, 36, 27, 37, 22}
Is it 95%-certain that the three mean scores of all potential players below 20, all potential players between 20 and 40, and all potential players above 40 are not the same? Explain how you proved your answer.

Explain the difference between testing a single mean and testingthe difference between two means.
What two assumptions must be met when one is using z test to test differences between two means?
When can the sample standard deviations s1 and s2 be used in place of thepopulation standard deviations σ1 and σ2 ?

A sample of n=9 scores is obtained from a normalpopulation distribution with o-=12. The sample mean is M=60.
a- with a two-tailed test and o=.05,use the sample data to test the hypothesis that thepopulation mean is u=65.
b- with a two-tailed test and o=.05, use the ample data to test the hypothesis that thepopulation me

Kannon Camera has developed a new camera that it claims can take an average of more than 10 photographs per second. You decide to evaluate the company's claim. A sample of 16 cameras was used; they were tested and found to have a mean number of photographs per second of 10.50. Previous tests of cameras of this type revealed that

How do hypothesis-testing procedures differ for thepopulation mean when thepopulation standard deviation is known or unknown? What is the relationship between two-sided hypothesis tests for means and confidence intervals?
Why would thepopulation variability and the sample size affects the power of a test? How do the leve

A sample of 40 observations is selected from one somewhat normalpopulation. The sample mean is 102 and the sample standard deviation is 5. A sample of 50 observations is selected from a second source. The sample mean was 99 and the standard deviation was 6. Conduct a test of the hypothesis using the .04 level of significance.

In a one-tailed test
A. The rejection region is in one of the tails.
B. The rejection region is split between the tails.
C. The p-value is always less than the significance level.
D. The p-value is always more than the significance level.
To conduct a one sample test of means and use the z distribution as the test sta

Please help with the following problem.
You have a sample size of 120 and thepopulation standard deviation of 20. You are testingthe null hypothesis of whether thepopulation mean is 120 or not.
A. What are the critical values for rejection when Type I error is 5%?
B. If actual mean is 121, find the Type II error
C.

A sample size of 16 was randomly drawn from a normalpopulation. The mean of these 16 cases was 47.6875 and the sample standard deviation was 19.0883. At an alpha level of .05, does the mean of thepopulation differ significantly from 60?

Please see the attachment for proper formatting and symbols.
7.45 #5. Find a value, X0, such that µ = 160 and o2 = 256
a)P(X < X0) = 0.16
b) P(X-< X0) = 0.75
7.64 #16. A sample of size n = 20 is randomly selected from a normal population with mean µ = 90 and standard deviation = 5. Find the following:-
a. P (x > 95) t