A group of 49 randomly selected construction workers has a mean age of 22.4 years with
a standard deviation of 3.8. According to a recent survey, the mean age should be μ =
21.9 years. Test this hypothesis at the 0.02 level of significance to determine if there is
enough evidence to support the claim..
?0 = ___________________________________
?? = ___________________________________
Test Statistic = __________________________
Alpha (?) level of significance= __________________
Classical Critical Value = ____________________
?-value = _______________________________
________Conclusion: A) reject ?0 B) fail to reject ?0
________Interpretation:
A) There is sufficient evidence to support the claim.
B) There is insufficient evidence to support the claim.

Use the Wilcoxon matched-pairs signed rank test to determine whether there is a significant difference between the related populations represented by the data below. Assume a 5% level of significance and (differences = before - after).

Before    After
5.6        6.4
1.3        1.5
4.7        4.6
3.8        4.3
2.4        2.1
5.5        6.0
5.1        5.2
4.6        4.5
3.7        4.5

What is the value of T-?  

What is the value of T+?  

What is the test statistic, T?  

Using the table of Critical Values, what is the critical value for this study?

Carbon monoxide​ (CO) emissions for a certain kind of car vary with mean 3.704 ​g/mi and standard deviation 0.7 ​g/mi. A company has 70 of these cars in its fleet. Let y overbary represent the mean CO level for the​ company's fleet. ​a) What's the approximate model for the distribution of y overbary​? Explain. ​b) Estimate the probability that y overbary is between 3.8 and 3.9​g/mi. ​c) There is only a 11​% chance that the​ fleet's mean CO level is greater than what​ value?

Does the y-intercept for this regression model have practical meaning in this context? If so, interpret it. Otherwise, explain why not. Recall, the value of the explanatory variable is 0 for the y-intercept. See page 195 in the course text.

11. You are responsible for the Demand Forecasting group at a mid-size company. Six weeks into the fiscal year, you are called to a meeting with two days of notice with the vice-president of sales, one of the finance directors and the company president. This is in reference to an email from executive leadership that the sales goals and plans are mis-aligned with your fiscal year forecast. It seems that your forecasts are 3.8% below sales plans and 3.5% below sales goals. How will you approach this meeting and what information will you use for the meeting?

1,You plan to invest $50,000 at the end of year 2019, $60,000 at the end of year 2020 and $90,000 at the end of year 2021. If you earn 3.8% annual rate of return, how much will you have at the end of 2021? Round to the nearest whole dollar.

2. An investment will pay you $240,000 at the end of 10 years. At an annual rate of 15% (compounded semi-annually), what is the price of this investment today? Round to the nearest whole dollar.

a.2,446,678

b. 59,324

c. 116,447

d. 56,499

Part 1: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 32 liters, and standard deviation of 9 liters.

A) What is the probability that daily production is between 24.8 and 30.9 liters? Do not round until you get your your final answer.

Part 2: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 31 liters, and standard deviation of 9.8 liters.

A) What is the probability that daily production is less than 58.7 liters?

Answer= (Round your answer to 4 decimal places.)

B) What is the probability that daily production is more than 12.7 liters?

Answer= (Round your answer to 4 decimal places.)

Part 3 Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 7.7 years and a standard deviation of 1.5 years.

Find the probability that a randomly selected DVD player will have a replacement time less than 3.8 years?
P(X < 3.8 years) =

Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

If the company wants to provide a warranty so that only 3.2% of the DVD players will be replaced before the warranty expires, what is the time length of the warranty?
warranty = years

In the sport of diving, seven judges award a score between 0 and 10, where each score may be a floating-value. The highest and lowest scores are thrown out and the remaining scores are added together. The sum is then multiplied by the degree of difficulty for that drive. The degree of difficulty ranges from 1.2 to 3.8 points. The total is then multiplied by 0.6 to determine the diver’s score.

Write a program that inputs a degree of difficulty and then input seven judges’ scores using a loop and outputs the overall score for that dive.

You are required to check whether a judge’s score is indeed between 0 and 10. You also have to check whether the difficulty is between 1.2 and 3.8. When the user enters a number that is not in the range, ask the user to enter it again.

Example: To ask the user to enter a score between 0 and 100

               do{

                    cout<<”Enter a number between 0 and 100”;

                   cin>>score;

              }while(score<0 || score>100);

Hint: You should use a loop to find total score, highest score, and lowest score. You then subtract total from highest and lowest. Multiply result by difficulty and 0.6 to get the final score. If the user enters difficulty as 2 and seven judges give score as 1, 2, 3, 4, 5, 6, and 7. Then the final score should be 24

do it in C++