Assume that the following relationship holds:

Maintenance Costs = (v * Machine Hours) + f

REQUIRED

Estimate the values of v and f and the cost equation, using,

1. the High-Low Method, and

Make sure to report

1. The values of v and f;

2. A scatter plot of the data points, and

3. The adjusted R-square; explain what the adjusted R-square means.

4. The cost equation in the form of Y = vx + f, substituting the values for v and f from the regression output.

YOUR SUBMISSION MUST BE IN EXCEL.  

The number of students in one of the small towns reached (2000) male and female students, who move to their schools by means, as in the following table:

Study the relationship between the type of pupils and the mode of transportation, and answer the following questions:

A - Formulate the appropriate null hypothesis.

B - Determine the value of the appropriate level of significance.

C - Set the degrees of freedom.

D - Calculate the value of a square of X2.

E - Extract the critical X² value from the table. And - test your zero hypothesis, and make the appropriate decision about it, and what does it mean?

Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? Answer choices rounded to the nearest whole number.

a.) Mean = 135
Variance = 62
Standard Deviation = 8

b.) Mean = 53
Variance = 62
Standard Deviation = 8

c.) Mean = 54
Variance = 8
Standard Deviation = 62

d.) Mean = 135
Variance = 8
Standard Deviation = 62

A group of students agreed to participate in a study. Students were first asked to state their age and then to perform a maximal vertical jump. Each participant was allowed 3 attempts. Jump heights from males and females were averaged separately.

1.Identify the three variables in the study.

2.Describe the type of scale related to each variable (i.e. nominal, ordinal, interval, ratio)

3. Use use your own characteristics or activities to describe examples of nominal, ordinal, interval, and ratio. Of those, which are categorical/discrete or continuous, and which are qualitative vs quantitative measures.

A business students claims that on average an MBA students is required to prepare more than five cases per week. To examine the claim, a statistics professor ask a random sample of ten MBA students to report the number of cases they prepare weekly. The results are given below. Can the professor conclude that the claim is true, at the .05 level of significance, assuming the number of cases is normally distributed with a standard deviation of 1.5?

1) Is the test statistic for this test Z or t?

2) What is the value of the test statistic of the test? ( Enter 0 if this value cannot be determined with the given information.)

3) What is the pvalue of the test? (Enter 0 if this value cannot be determined with the given information.)

4) What is the relevant bound of the rejection region? (Enter 0 if this value cannot be determined with the given information.)

5) What decision should be made?

Select one:

a. Do not reject the null hypothesis

b. Accept the null hypothesis

c. Can not be determined from given information

d. Reject the null hypothesis

a previous study of a large cross-section of students in this course showed that students studies 12 hours per week. Are the results of this current study statistically different than the assumption of 12 hours per week studying? Define the hypotheses and compare the t-value to the critical t value, evaluating at α = 0.05.

Previous Study:

A sample of students from an introductory business course were polled regarding the number of hours they spent studying for the last exam. All students anonymously submitted the number of hours on a 3 by 5 card. There were 24 individuals in the one section of the course polled. The data was used to make inferences regarding the other students taking the course. The data are shown below:4.522 7 14.59 9 3.58 11 7.518 20 7.59 10.515 19 2.55 9 8.514 20 8

a,Based on the sample results, find the 95% confidence interval.

b. Interpret the results.

c. Do you expect a 90% confidence

e interval to be wider or narrower and why?

10% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 339 randomly selected students who receive financial aid, 17 of them volunteered their time. What can be concluded at the αα = 0.01 level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion

The null and alternative hypotheses would be:   

H0:H0:  ? p μ  Select an answer < > = ≠   (please enter a decimal)   

H1:H1:  ? p μ  Select an answer ≠ < = >   (Please enter a decimal)

The test statistic ? z t  =  (please show your answer to 3 decimal places.)

The p-value =  (Please show your answer to 4 decimal places.)

The p-value is ? > ≤  αα

Based on this, we should Select an answer reject accept fail to reject  the null hypothesis.

Thus, the final conclusion is that ...

The data suggest the populaton proportion is significantly lower than 10% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 10%.

The data suggest the population proportion is not significantly lower than 10% at αα = 0.01, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 10%.

The data suggest the population proportion is not significantly lower than 10% at αα = 0.01, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 10%.

A survey of a group of college students was done to find out how students get to school for the school year. 15% of those surveyed were from out of state. Of those that were in-state, 56% used a car as their primary form of transport to school, 13% used a train and 18% used a bus. Of those that were from out of state, 29% used an airplane, 31% used a car, and 12% used the train.

1. What is the probability that a respondent uses the train?

2. What is the probability a randomly chosen respondent is from out of state and uses the bus as his primary transport?

3. What is the probability that a respondent is from in state, takes an airplane or both?

4. If a respondent is chosen and that person uses a car, what is the probability the respondent is from out of state?  

5. Are primary form of transportation to school and in state/out of state statistically independent?

17% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 329 randomly selected students who receive financial aid, 39 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance?

1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
2. The null and alternative hypotheses would be:   

H0:H0:  ? μ p  Select an answer = < > ≠   (please enter a decimal)   

H1:H1:  ? μ p  Select an answer = ≠ > <   (Please enter a decimal)

3. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? > ≤  αα
6. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.
7. Thus, the final conclusion is that ...
   • The data suggest the population proportion is not significantly lower than 17% at αα = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 17%.
   • The data suggest the population proportion is not significantly lower than 17% at αα = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 17%.
   • The data suggest the populaton proportion is significantly lower than 17% at αα = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 17%.

1. The data are 100 students' attitudes towards summer internships. Are the attitudes of college students of different genders towards summer internships different?（χcrit2=5.99）