The time that takes to complete a certain type of construction projects has a mean of 35.5 months and a standard deviation of 1.5 months.

a. According to the Tchebysheff’s theorem, at least what percentage of these projects must have taken between 26.5 months and 44.5 months to complete?

b. If in addition we are told that the relative frequency curve for the completion times is a bell-shaped curve, then approximately what percentage of these projects would take more than 34 months to completed?

3. A distinguishing characteristic of entrepreneurs is their willingness to take risks. R.H.Brockhaus (Academy of Management Journal, Sept. 1980) used a choice dilemma questionaire (CDQ) to measure the risk-taking propensities of successful entrepreneurs (lower scores associated with a higher tendency for risk taking). The CDQ scores are normally distributed with a mean of 72 and a standard deviation of 8.

(a) What is the probability that a randomly selected entrepreneur will score between 68 and 74 on the CDQ? Final answer in 4 decimals.

(b) What CDQ score differentiates the 30.5% entrepreneurs most willing to take risks from the rest

(c) Suppose a random sample of 5 entrepreneurs are selected, what is the likelihood that the average CDQ score of these 5 entrepreneurs is between 70 and 72? Use the standard normal table and express your final answer in 4 decimals.

A college dean is interested in the exam performance of students in a biology course. After the final exam, students are randomly selected from three different section of the biology course. What can be conclude with α = 0.05? The data are below.

Conduct Tukey's Post Hoc Test for the following comparisons:
1 vs. 3: difference =  ; significant:  ---Select--- Yes No
2 vs. 3: difference =  ; significant:  ---Select--- Yes No

f) Conduct Scheffe's Post Hoc Test for the following comparisons:
1 vs. 2: test statistic =  ; significant:  ---Select--- Yes No
2 vs. 3: test statistic =  ; significant:  ---Select--- Yes No

GTB, Inc., has a 20 percent tax rate and has $85,656,000 in assets, currently financed entirely with equity. Equity is worth $6 per share, and book value of equity is equal to market value of equity. Also, let’s assume that the firm’s expected values for EBIT depend upon which state of the economy occurs this year, with the possible values of EBIT and their associated probabilities as shown below:

State Pessimistic Optimistic

Probability of state 0.44 0.56

Expected EBIT in state $ 4.90 million $ 18.90 million

The firm is considering switching to a 25-percent-debt capital structure, and has determined that it would have to pay a 10 percent yield on perpetual debt in either event.

What will be the break-even level of EBIT? (Enter your answer in dollars, not in millions. Do not round intermediate calculations and round your final answer to the nearest whole dollar amount.)

EBIT $ 8,565,600.

Please explain your answers and use Excel to show the excel formula you used to get your solution.

6. A manufacturing process produces connecting rods whose diameter is normally distributed with mean 1.495 cm and standard deviation .05 cm. In what range will the “middle 80%” of the diameters lie? What about the “middle 98%”?

The mean incubation time for a type of fertilized egg kept at a certain temperature is 17 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day.

A. Find and interpret the probability that a randomly selected fertilized egg hatches in less than 16 days.

The probability that a randomly selected fertilized egg hatches in less than 16 days is __________

Explain why one would use non-parametric tests? What are their advantages and disadvantages? At least a 100 word explanation

Please assist in developing questions on Ageism for a quantitative research design using the Likert Scale.

Twenty economist were chosen randomly, and asked to predict if the national economy would improve during the next 12 months. Eleven of the economists predicted an improvement, and nine economists predicted a decrease in the economy. Conduct a hypothesis test to determine if there is a difference in the prediction for the national economy during the next 12 months. Use the normal approximation to the Binomial. In addition, assign a “+” sign to “Improvement” and a “-” sign to “Decrease.” Conduct a two-tailed test at the .05 significance level. Based on the analysis, what is your conclusion?

According to an article, “only 1 in 5 American women believe that the heart disease is her greatest health threat.” A sample of 50 women is taken where 8 of them stated that they believe that the heart disease is the greatest threat to their health.

• At 0.01 level of significance, can we conclude that the website overestimated the percentage of the women that believe that the heart disease is the greatest threat to their health? In other words, is the proportion of the women who believe that the heart disease is the greatest threat to their health less than 20%? Show all the five steps of the hypothesis testing.
• Report and interpret the p-value.

Twenty economist were chosen randomly, and asked to predict if the national economy would improve during the next 12 months. Eleven of the economists predicted an increase, and nine economists predicted a decrease in the economy. Conduct a hypothesis test to determine if there is a difference in the prediction for the national economy during the next 12 months. Use the normal approximation to the Binomial. In addition, assign a “+” sign to “Improve” and a “-” sign to “Decrease.” Conduct a two-tailed test at the .05 significance level. What is(are) the critical value(s)?

I ONLY NEED PART D Thank you

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 53​% say that having a flexible work schedule is either very important or extremely important to their career​ success?

. 9463

(Round to four decimal places as​ needed.)b. What is the probability that in the sample between 41​% and 53​% say that having a flexible work schedule is either very important or extremely important to their career​ success?

. 7344

​(Round to four decimal places as​ needed.)c. What is the probability that in the sample more than 47​% say that having a flexible work schedule is either very important or extremely important to their career​ success?

. 3446

PART D. ​(Round to four decimal places as​ needed.)d. If a sample of 400 is​ taken, how does this change your answers to​ (a) through​ (c)?The probability that in the sample fewer than 53​% say that having a flexible work schedule is either very important or extremely important to their career success is ____

The probability that in the sample between 41​% and 53​% say that having a flexible work schedule is either very important or extremely important to their career success is ____

The probability that in the sample more than 47​% say that having a flexible work schedule is either very important or extremely important to their career success is ____

How would you use confidence intervals in your daily life?

How would you use Describing Data: Numerical Measures in your daily routine?