​b) Use these values to construct a​ one-way ANOVA table.

​c) Using

alphaαequals=0.100.10​,

what conclusions can be made concerning the population​ means?

LOADING...

Click the icon to view a table of critical​ F-scores for

alphaαequals=0.100.10.

​a) Determine the values.

SSTequals=nothing

​(Type an integer or a​ decimal.)

SSBequals=nothing

​(Type an integer or a​ decimal.)

SSWequals=nothing

​(Type an integer or a​ decimal.)

​b) Complete the​ one-way ANOVA table below.

​(Type integers or decimals. Round to three decimal places as​ needed.)

​c) Let

mu 1μ1​,

mu 2μ2​,

and

mu 3μ3

be the population means of samples​ 1, 2, and​ 3, respectively. What are the correct hypotheses for a​ one-way ANOVA​ test?

A.

Upper H 0H0​:

mu 1μ1equals=mu 2μ2equals=mu 3μ3

Upper H 1H1​:

mu 1μ1not equals≠mu 2μ2not equals≠mu 3μ3

B.

Upper H 0H0​:

mu 1μ1not equals≠mu 2μ2not equals≠mu 3μ3

Upper H 1H1​:

Not all the means are equal.

C.

Upper H 0H0​:

mu 1μ1not equals≠mu 2μ2not equals≠mu 3μ3

Upper H 1H1​:

mu 1μ1equals=mu 2μ2equals=mu 3μ3

D.

Upper H 0H0​:

mu 1μ1equals=mu 2μ2equals=mu 3μ3

Upper H 1H1​:

Not all the means are equal.What is the critical​ F-score,

Upper F Subscript alphaFα​?

Upper F Subscript alphaFαequals=nothing

​(Round to three decimal places as​ needed.)

What is the correct conclusion about the population​ means?

Since the​ F-statistic

▼

falls

does not fall

in the rejection​ region,

▼

do not reject

reject

Upper H 0H0.

The data

▼

do not provide

provide

sufficient evidence to conclude that the population means are not all the same.

Click to select your answer(s).

college students often make up a substantial portion of the population of college cities and towns. State College, Pennsylvania, ranks first with 71.1 of its population made up of college students. What is the probability that in a random sample 134 of people from State College, more than 50 are not college students? Round the final answer to at least decimal places and intermediate -value calculations to decimal places.

1. The owner of Showtime Movie Theaters, Inc. would like to estimate weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.

1. Develop an estimated regression equation in Excel with the amount of television advertising as the independent variable
2. Develop an estimated regression equation in Excel with both television advertising and newspaper advertising as the independent variables
3. Develop an estimated regression equation in Excel with all three independent variables: television advertising, newspaper advertising, and radio advertising
4. Is the estimated regression equation coefficient for television advertising expenditures the same in par a), in part b) and in part c)? Interpret the coefficient in each case
5. Obtain and compare the multiple coefficient of determination and the adjusted multiple coefficient of determination for parts a), b) and c). How does the coefficient of determination changes as a result of adding more independent variables in the equation?
6. What is the estimate of the weekly gross revenue for a week when $3500 is spent on television advertising, $1800 is spent on newspaper advertising, and $350 in radio advertising?
7. Use the F test to determine the overall significance of the relationship. What is the conclusion at the .05 level of significance?
8. Use the t test to determine the significance of each independent variable. What is your conclusion at the .05 level of significance?
1. Determine the sample correlation coefficient between all possible pairs of independent variables to measure multicollinearity. Is there any value high enough to predict any potential problem in the regression model? Explain

SHOW ALL WORK

Recently, the top web browser had 51.66 of the market. In a random sample of 225 people, what is the probability that fewer than 99 did not use the top web browser? Round the final answer to at least 4 decimal places and intermediate -value calculations to decimal places.

For the following 4 questions, consider the following 10 scores on a test:

45 45 60 65 75 80 85 90 90 100

A) Find the standard deviation of the data (to the nearest hundredth).

B) Calculate the 25^th percentile of the data.

Given four components, each with a reliability of 0.9, calculate the reliability of a total system in which the four are arranged in: (a) four in a series, (b) four in parallel

The following data are from a completely randomized design. In the following calculations, use

α = 0.05.

(a) Use analysis of variance to test for a significant difference among the means of the three treatments.

State the null and alternative hypotheses.

H₀: μ₁ ≠ μ₂ ≠ μ₃
H_a: μ₁ = μ₂ = μ₃

H₀: μ₁ = μ₂ = μ₃
H_a: Not all the population means are equal.    

H₀: μ₁ = μ₂ = μ₃
H_a: μ₁ ≠ μ₂ ≠ μ₃

H₀: Not all the population means are equal.
H_a: μ₁ = μ₂ = μ₃

H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

Find the value of the test statistic. (Round your answer to two decimal places.) ____

Find the p-value. (Round your answer to three decimal places.)

p-value = ____

State your conclusion.

Reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

Do not reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.    

Do not reject H₀. There is not sufficient evidence to conclude that the means of the three treatments are not equal.

Reject H₀. There is sufficient evidence to conclude that the means of the three treatments are not equal.

(b) Use Fisher's LSD procedure to determine which means are different.

Find the value of LSD. (Round your answer to two decimal places.)

LSD = ____

Find the pairwise absolute difference between sample means for each pair of treatments.

x₁ − x₂ = ____

x₁ − x3 = ____

x₂ − x₃ = ____

Which treatment means differ significantly? (Select all that apply.)

There is a significant difference between the means for treatments 1 and 2.

There is a significant difference between the means for treatments 1 and 3.

There is a significant difference between the means for treatments 2 and 3.

There are no significant differences.

Graded problem #2. The table below gives the cost per unit of a manufactured piece as a function of the number of units produced. Take the number of units produced as the explanatory variable, x, and the cost per unit as the response variable y.

Units 10 20 50 100 150 200

Cost 140 155 153 150 180 160

a. Predict the cost per unit when 80 units are produced

b. Find a 90% confidence interval for the slope b1

c. Find a 90% confidence interval for the predicted value you found in answer b.

1. How many 6 digit strings have a sum of 35? in a digit string the first digit can be zero

2. In how many ways can one arrange the set {A,B,C,D,E} if

E can not be on either end of the string

A must be in an even position

B must be in an odd position (Solve by direct method and P.I.E.)

If a random sample of 20 homes south of a town has a mean selling price of $145,225 and a standard deviation of $4600, and a random sample of 20 homes north of a town has a mean selling price of $148,575 and a standard deviation of $5700, can you conclude that there is a significant difference between the selling price of homes in these two areas of the town at the 0.05 level? Assume normality.

(a) Find t. (Round your answer to two decimal places.)


(ii) Find the p-value. (Round your answer to four decimal places.)


(b) State the appropriate conclusion.

Fail to reject the null hypothesis. There is not significant evidence of a difference in means. Reject the null hypothesis. There is significant evidence of a difference in means.     Fail to reject the null hypothesis. There is significant evidence of a difference in means. Reject the null hypothesis. There is not significant evidence of a difference in means.

16. In the United States, there has historically been a strong relationship between smoking and education, with well-educated people less likely to smoke. To examine whether this pattern has changed, a sample of 187 high school graduates, a sample of 139 College graduates, and a third sample of 133 graduate school graduates were selected at random from those who had visited a health center for a routine check-up over the course of the past year. Smoking Status Education Nonsmoker Former Moderate Heavy Total High School 56 54 41 36 187 College 37 43 27 32 139 Graduate 53 28 36 16 133 Total 146 125 104 84 459

What type of the chi-square test for this two-way table should be conducted?

What are the degrees of freedom for the chi-square test for this two-way table? What is the p-value and test statistic for the chi-square test for this two-way table? What conclusion can you make?

A sample of 1700 computer chips revealed that 80% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 79% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Is there enough evidence at the 0.05 level to support the manager's claim?

Step 1 of 7: State the null and alternative hypotheses

Step 2 of 7: Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 7: Specify if the test is one-tailed or two-tailed.

Step 4 of 7: Determine the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 7: Identify the value of the level of significance.

Step 6 of 7: Make the decision to reject or fail to reject the null hypothesis

Step 7 of 7: State the conclusion of the hypothesis test.

Problem 4. What is the probability that a five card poker hand contains at least one ace?

Problem 5. What is the probability that a five card poker hand contains two pairs? (two of each of two different kinds, and a fifth card of a third kind)

Problem 6. Suppose that 100 people enter a contest and that different winners are selected at random for first, second, and third prizes. What is the probability that Michelle wins one of these prizes if she is one of the contestants?

Problem 7. Find the probability of winning the lottery by selecting the correct six integers between 0 and 50, where the order in which the integers are selected does not matter.

Problem 8. What is the probability that a die never comes up an even number when it is rolled six times?

Problem 9. In roulette, a wheel with 38 numbers is spun. Of these, 18 are red, and 18 are black. The other two numbers, which are neither black nor red, are 0 and 00. The probability that when the wheel is spun it lands on any particular number is 1/38.

a. What is the probability that the wheel lands on a red number?
b. What is the probability that the wheel lands on a black number twice in a row?

c. What is the probability that the wheel lands on 0 or 00?
d. What is the probability that in five spins the wheel never lands on either 0 or 00?

Problem 10. (Challenge) Which is more likely: rolling a total of 9 when two dice are rolled or rolling a total of 9 when three dice are rolled?

Find the expected number of flips of a coin, which comes up heads with probability p, that are necessary to obtain the pattern h, t, h, h, t, h, t, h.

This is from Sheldon/Ross Introduction to Probability models 11th edition Chapter 3#91. I know there is the textbook solution manual on Chegg, but I am not able to make sense of the solution. I would greatly appreciate if anyone can help me make sense of it!