Just Part B please

A global research study found that the majority of​ today's working women would prefer a better​ work-life balance to an increased salary. One of the most important contributors to​ work-life balance identified by the survey was​ "flexibility," with 45​% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. Answer parts​ (a) through​ (d).

a. What is the probability that in the sample fewer than 51​% say that having a flexible work schedule is either very important or extremely important to their career​ success? 0.8869 ​(Round to four decimal places as​ needed.)

b. What is the probability that in the sample between 41​% and 51​% say that having a flexible work schedule is either very important or extremely important to their career​ success? nothing ​(Round to four decimal places as​ needed.)

Consider the following three data sets which shows the students’ results for test in the

new course launched in the undergraduate program across three sections.

Class A:{65;75;73;50;60;64;69;62;67;85}

Class B:{85;79;57;39;45;71;67;87;91;49}

Class C: {43;51;53;110;50;48;87;69;68;91}

Using appropriate statistical tools- numerical and graphical, describe the similarity and differences in the students’ performance among the three classes.

1. A construction company that installs drywall wanted to investigate how a person’s age affects how much dry wall they can install in a week. On one hand, it would seem that the younger workers would be able to install more, but it seems that experience would also play a role. Two samples were taken.
   
   Ages 18-21 Ages 25-28
   (sheets / wk) (sheets / wk)
   88 104
   104 116
   96 96
   88 104
   112 108
   108 108
   84 116
   120 112
   92 120
   116 108
   
   a) Set up the null and alternative hypotheses to see if there is a difference in the average number of sheets of dry wall that a person can install per week based on age.
   b) Check the conditions.
   c) Calculate the test statistic.
   d) Find the p-value.
   e) Using α = 0.05, state your conclusion in the context of the problem.

1. In a study of red/green color blindness, 850 850 men and 2950 2950 women are randomly selected and tested. Among the men, 79 79 have red/green color blindness. Among the women, 8 8 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. The test statistic is The p-value is Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.01 0.01 % significance level? A. Yes B. No 2. Construct the 99 99 % confidence interval for the difference between the color blindness rates of men and women. <( p 1 − p 2 )< <(p1−p2)< Which of the following is the correct interpretation for your answer in part 2? A. We can be 99 99 % confident that the difference between the rates of red/green color blindness for men and women lies in the interval B. We can be 99 99 % confident that that the difference between the rates of red/green color blindness for men and women in the sample lies in the interval C. There is a 99 99 % chance that that the difference between the rates of red/green color blindness for men and women lies in the interval D. None of the above

The heights of South African men are normally distributed with a mean of 69 inches and a standard deviation of 4 inches. What is the probability that a randomly selected South African man is taller than 72 inches (sample size of 1)?   What is the probability that a sample of 100 has a mean greater than 72 inches?

In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.)

(a)    Φ(c) = 0.9854


(b)    P(0 ≤ Z ≤ c) = 0.3078


(c)    P(c ≤ Z) = 0.1210


(d)    P(−c ≤ Z ≤ c) = 0.6680


(e)    P(c ≤ |Z|) = 0.0160

You may need to use the appropriate table in the Appendix of Tables to answer this question.

Using data from 50 workers, a researcher estimates Wage = β0 + β1 Education + β2 Experience +β3 Age + ε, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. Coefficients Standard Error t Stat p-value Intercept 7.42 4.14 1.40 0.0524 Education 1.53 0.39 3.65 0.0002 Experience 0.47 0.20 3.53 0.0026 Age −0.07 0.08 −0.19 0.8130 a-1. What is the point estimate for β1? 1.53 0.47 a-2. Interpret this value. As Education increases by 1 unit, Wage is predicted to increase by 1.53 units, holding Age and Experience constant. Same interpretation by using 0.47 or -0.07 a-3. What is the point estimate for β2? 0.47 1.53 a-4. Interpret this value. Same interpretation by using 1.53 or -0.07 As Experience increases by 1 unit, Wage is predicted to increase by 0.47 units, holding Age and Education constant. b. What is the sample regression equation? (Negative value should be indicated by a minus sign. Round your answers to 2 decimal places.) y-hat = + Education + Experience + Age c. What is the predicted value for Age = 40, Education = 4 and Experience = 3. (Do not round intermediate calculations. Round your answer to 2 decimal places.) y-hat

NEEDS TO BE SOLVED WITH A TEMPLATE FOR HYPOTHESIS TESTING IN EXCEL

A company can choose between two brands of light bulbs for an office complex and wants to know if one brand lasts longer than another brand. Test results for the two brands are shown in the table below. Is there persuasive evidence for company officials to conclude at α = 0.05 that there is a difference in the length of life of the lightbulbs?

“Learn to Write A Great Country Song” has become the top selling book and Shania wanted to know whether the book worked better for one gender. So Shania asked 10 males and 15 females to spend 14 hours over a week period to write a song using the book. All songs were subsequently ranked, and the sum of ranks for males equaled 77 while the sum of ranks for females equaled 248. Use a Mann-Whitney U test.

In the box below, provide the following information:

Null Hypothesis in sentence form (1 point):

Alternative Hypothesis in sentence form (1 point):  
Critical Value(s) (2 points):

Calculations (4 points): Note: the more detail you provide, the more partial credit that I can give you if you make a mistake.

Outcome (determination of significance or not, effect size if appropriate, and what this reflects in everyday language, 2 points)

Which of the following correlation values represents the strongest linear relationship between two quantitative variables?

A plan for an executive travelers’ club has been developed by airline on the premise that 5% of its current customers would qualify for membership. A random sample of 500 customers yielded 40 who would qualify.   

1. Write down the null and alternative hypotheses.

2. Explain whether this is a one-sided or a two-sided test, and why.

3. What is the value of the test statistic for your observed results?

4. What is the p-value for your observed results?

5. What is your conclusion? Please use words that a non-statistics student would understand, and justify your answer. Assume a significance level of .05.

6. Based on your conclusion, what type of error are you risk at?

A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.05 years, with sample standard deviation s = 0.88 years. However, it is thought that the overall population mean age of coyotes is μ = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use α = 0.01.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: μ = 1.75 yr; H₁: μ < 1.75 yr

H₀: μ < 1.75 yr; H₁: μ = 1.75 yr    

H₀: μ > 1.75 yr; H₁: μ = 1.75 yr

H₀: μ = 1.75 yr; H₁: μ ≠ 1.75 yr

H₀: μ = 1.75 yr; H₁: μ > 1.75 yr

(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.

The standard normal, since the sample size is large and σ is known.

The Student's t, since the sample size is large and σ is known.    

The Student's t, since the sample size is large and σ is unknown.

The standard normal, since the sample size is large and σ is unknown.

What is the value of the sample test statistic? (Round your answer to three decimal places.)


(c) Find the P-value. (Round your answer to four decimal places.)


Sketch the sampling distribution and show the area corresponding to the P-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?

At the α = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.    

At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(e) Interpret your conclusion in the context of the application.

There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years.

There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years.  

Components of a certain type are shipped to a supplier in batches of ten. Suppose that 49% of all such batches contain no defective components, 33% contain one defective component, and 18% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions? (Round your answers to four decimal places.)

(a) Neither tested component is defective.

no defective components=?

one defective component=?

two defective components=?

(b) One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]

no defective components=?

one defective component=?

two defective components=?

A company operates a solar installation in the desert in Western Australia. It is reviewing its operating practices with a view to making them more efficient. The solar installation generates electric power from sunlight and incurs operating costs for cleaning the solar modules (sometimes called solar panels) and replacing solar modules that have failed.

a) The annual revenue from the electric power is variable due to variable cloudiness and solar module failure and has a mean of $2.78m and a standard deviation of $0.32m. The annual operating costs have a mean of $0.51m and a standard deviation of $0.12m. Expected revenue varies systematically from one month to another, being higher in the summer when there is more sunshine. Monthly operating costs follow the same probability model regardless of the month (same mean and standard deviation apply to all months). Calculate, if possible, the mean and standard deviation of (i) monthly operating costs (ii) monthly profits. If a calculation is not possible, give the reason.

Passenger miles flown on Northeast Airlines, a commuter firm serving the Boston hub, are as

follows for the past 12 weeks:

WEEK ACTUAL PASSENGER MILES (1,000S)

1            17

2            21

3            19

4            23

5            18

6            16

7            20

8            18

9            22

10         20

11         15

12         22

Assuming an initial forecast for week 1 of 17,000 miles, use exponential smoothing to

compute miles for weeks 2 through 12. Use α = 0.2.

What is the MAD for this model?

Compute the RSFE and tracking signals. Are they within acceptable limits?

PLEASE ANSWER THE RSFE question Thank you