Statistics exercises

Friedman’s K/One-way repeated measures ANOVA

1. Suppose you are interested in learning if practice on the ACT improves test scores. You sample a random group of 10 people and ask them to take the ACT 1 time per week for 3 consecutive weeks. Use the data below to determine if practice improves test scores.

1. State the hypotheses

2. Select an alpha level and one- or two-tailed

3. Select and compute the appropriate statistic

4. Report in APA style the df and p-value.

5. Accept or reject the null and draw an inference if one is warranted.

An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?

Let d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course)d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course). Use a significance level of α=0.01α=0.01 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course.

1. Which of the following will shift the demand curve for a good?

A change in the cost of materials used to make the good

None of these answers

A change in the price of the good

A change in per unit taxes on sellers

A change in the technology used in producing the good

2) Suppose consumer incomes decrease. In the market for a normal good, at the original equilibrium price this would create:

Excess supply

An increase in production

A decrease in production

Excess demand

3. Suppose a market is characterized by consumers waiting in long lines and persistent shortages of the good. This is most likely the result of which government action?

A decrease in taxes on the good

The setting of a price floor

An increase in taxes on the good

The setting of a price ceiling

4)Wood is an important material in the production of housing. What would happen to the equilibrium price and quantity of houses if wood prices drastically increased?

Group of answer choices

Prices will increase, Quantity will increase

Prices will increase, Quantity will decrease

Prices will decrease, Quantity will increase

Prices will decrease, Quantity will decrease

5)Suppose the equilibrium price in a market is $5.00 per unit. Which of the following would be an example of a non-binding price ceiling?

Group of answer choices

A law preventing sellers from charging less than $4.00

A law preventing sellers from charging more than $4.00

A law preventing sellers from charging less than $6.00

A law preventing sellers from charging more than $6.00

6)Suppose a binding price floor is placed on the sale of DVDs. Which of the following would you expect to see in the market for DVDs?

Group of answer choices

Consumers will wait in long lines in order to purchase the DVDs

The quality of the DVD and service provided by sellers may increase

Some consumers will buy the good at the legal price and then resell the DVD in the black market.

Consumers will bribe store owners for the right to buy DVDs.

7)Tim, Cindy, Fred, and Joe are shopping at Walmart for sweatpants. The most each is willing to pay is $10, $13, $7, and $22. If the actual price of sweatpants is $12, how much consumer surplus is created?

Group of answer choices

$17

$7

$11

$35

8)Suppose the government increases taxes on sales of milk. This will lead to

Group of answer choices

A decrease in demand

An increase in demand

A decrease in quantity demanded

An increase in supply

9) Suppose a market has the following points on its demand curve:

Price      70           65           60           55           50           45           40

QandD 0               10           20           30           40           50           60

Assuming the price is $50, how much consumer surplus exists in this market?

Group of answer choices

1000

400

50

500

Assume that when adults with smartphones are randomly​ selected, 44​% use them in meetings or classes. If 7 adult smartphone users are randomly​ selected, find the probability that at least 4 of them use their smartphones in meetings or classes.

(using single linkedlist c++)In this assignment, you will implement a Polynomial linked list(using single linkedlist only), the coefficients and exponents of the polynomial are defined as a node. The following 2 classes should be defined. p1=23x 9 + 18x 7+3 1. Class Node ● Private member variables: coefficient (double), exponents (integer), and next pointer. ● Setter and getter functions to set and get all member variables ● constructor 2. Class PolynomialLinkedList ● Private member variable to represent linked list (head) ● Constructor ● Public Function to create a Node ● Public function to insert the Node to the linked list (sorted polynomial according to the exponent). ● Public function to print the polynomial in the elegant format: 23x 9 + 18x 7+3 ● Overloaded public function to allow adding two polynomials poly3=poly1+poly2 (23x 9 + 9x 7+3)+(2x 4+3x 7+8x 2 -6) =23x 9 +12 x 7+2x 4+8x 2 -3 ● Overloaded public function to allow negating (!) the sign of any polynomial poly3=!poly1 2x 4+3x 7+8x 2 -6 =- 2x 4 -3x 7+8x 2+6 ● Overloaded public function to allow multiplying two polynomials ● Public function to evaluate polynomial based on an input If x=1, then the value of this polynomial 2x 4+3x 7+8x 2 -6 should be 2(1) 4+3(1) 7+8(1) 2 -6 =7 3. Main ● Main menu to test the following tasks ○ cout << "1. Create polynomial \n"; ○ cout << "2. Print polynomial \n"; ○ cout << "3. Add two polynomilas \n"; ○ cout << "4. Negate polynomial \n"; ○ cout << "5. Multiply two polynomials \n "; ○ cout << "6. Evaluate polynomial \n "; ○ cout << "7. Exit \n";(using single linkedlist only)(using single linkedlist only)(using single linkedlist only)(using single linkedlist only)(using single linkedlist only)(using single linkedlist only)(using single linkedlist only)(using single linkedlist only)(using single linkedlist only)

MCE

Craig, Inc., has provided the following information for one of its products for each hour of production:

Required:

1. Calculate MCE. If required, round your answer to two decimal places.

2. What is the theoretical cycle time? Calculate MCE using actual and theoretical cycle times. If required, round your answers to two decimal places.

3. What if waste is reduced by 40 percent?
New waste = _________ minutes

What is the new MCE? If required, round your answer to two decimal places. _________?

What is the new cycle time?
____________ minutes?

Steps to Complete the Week 6 Lab Find this article in the Chamberlain Library. Once you click each link, you will be logged into the Library and then click on "PDF Full Text". First Article: Confidence Intervals, ( I copied and pasted both articles at the bottom of this question).

1. Consider the use of confidence intervals in health sciences with these articles as inspiration and insights.

2. Describe how you could use confidence intervals to help make a decision or solve a problem in your current job, a clinical rotation, or life situation. Include these elements: Description of the decision or problem

3. How the interval would impact the decision and what level of confidence would be most appropriate and why What data would need to be collected and one such method of how such data could ideally be collected

Articles to use:

Confidence interval: The range of values, consistent with the data, that is believed to encompass the actual or “true” population value Source: Lang, T.A., & Secic, M. (2006). How to Report Statistics in Medicine. (2nd ed.). Philadelphia: American College of Physicians

Confidence interval: The range of values, consistent with the data, that is believed to encompass the actual or "true" population value Source: Lang, T.A., & Secic, M. (2006). How to Report Statistics in Medicine. (2nd ed.). Philadelphia: American College of Physicians

Hope this information helps:

1. Consider the use of confidence intervals in health sciences with these articles as inspiration and insights.
2. Describe how you could use confidence intervals to help make a decision or solve a problem in your current job, a clinical rotation, or life situation. Include these elements:
   1. Description of the decision or problem
   2. How the interval would impact the decision and what level of confidence would be most appropriate and why
   3. What data would need to be collected and one such method of how such data could ideally be collected

These are the articles provided for the homework:

To draw conclusions about a study population, researchers use samples that they assume truly represent the population. The confidence interval (CI) is among the most reliable indicators of the soundness of their assumption. A CI is the range of values within which the population value being studied is believed to fall. CIs are reported in the results section of published research and are often calculated either for mean or proportion data (calculation details are beyond the scope of this article). A 95% CI, which is the most common level used (others are 90% and 99%), means that if researchers were to sample numerous times from the same population and calculate a range of estimates for these samples, 95% of the intervals within the lower and upper limits of this range will include the population value. To illustrate the 95% CI of a mean value, say that a sample of patients with hypertension has a mean blood pressure of 120 mmHg and that the 95% CI for this mean was calculated to range from 110 to 130 mmHg. This might be reported as: mean 120 mmHg, 95% CI 110-130 mmHg. It indicates that if other samples from the same population of patients were generated and intervals for the mean blood pressure of these samples were estimated, 95% of the intervals between the lower limit of 110 mmHg and the upper limit of 130 mmHg would include the true mean blood pressure of the population. Notice that the width of the CI range is a very important indicator of how reliably the sample value represents the population in question. If the CI is narrow, as it is in our example of 110-130 mmHg, then the upper and lower limits of the CI will be very close to the mean value of the sample. This sample mean value is probably a more reliable estimate of the true mean value of the population than a sample mean value with a wider CI of, for example, 110-210 mmHg. With such a wide CI, the population mean could be as high as 210 mmHg, which is far from the sample mean of 120 mmHg. In fact, a very wide CI in a study should be a red flag: it indicates that more data should have been collected before any serious conclusions were drawn about the population. Remember, the narrower the CI, the more likely it is that the sample value represents the population value.

Part 1, which appeared in the February 2012 issue, introduced the concept of confidence intervals (CIs) for mean values. This article explains how to compare the CIs of two mean scores to draw a conclusion about whether or not they are statistically different. Two mean scores are said to be statistically different if their respective CIs do not overlap. Overlap of the CIs suggests that the scores may represent the same "true" population value; in other words, the true difference in the mean scores may be equivalent to zero. Some researchers choose to provide the CI for the difference of two mean scores instead of providing a separate CI for each of the mean scores. In that case, the difference in the mean scores is said to be statistically significant if its CI does not include zero (e.g., if the lower limit is 10 and the upper limit is 30). If the CI includes zero (e.g., if the lower limit is -10 and the upper limit is 30), we conclude that the observed difference is not statistically significant. To illustrate this point, let's say that we want to compare the mean blood pressure (BP) of exercising and sedentary patients. The mean BP is 120 mmHg (95% CI 110-130 mmHg) for the exercising group and 140 mmHg (95% CI 120-160 mmHg) for the non-exercising group. We notice that the mean BP values of the two groups differ by 20 mmHg, and we want to determine whether this difference is statistically significant. Notice that the range of values between 120 and 130 mmHg falls within the CIs for both groups (i.e., the CIs overlap). Thus, we conclude that the 20 mmHg difference between the mean BP values is not statistically significant. Now, say that the mean BP is 120 mmHg (95% CI 110-130 mmHg) for the exercising group and 140 mmHg (95% CI 136-144 mmHg) for the sedentary group. In this case, the two CIs do not overlap: none of the values within the first CI fall within the range of values of the second CI. Thus, we conclude that the mean BP difference of 20 mmHg is statistically significant. Remember, we can use either the CIs of two mean scores or the CI of their difference to draw conclusions about whether or not the observed difference between the scores is statistically significant.

On December 31, 2016, Gary Company had 50,000 shares of common stock outstanding for the entire year. On March 1, 2017, Gary purchased 2,400 shares of common stock on the open market as treasury stock paying $45 per share. Gary sold 600 of the treasury shares on June 1, 2017, for $47 per share. Gary issued a 10% common stock dividend on 7/2/2017.

In addition, Gary had 3,000 shares of 9%, $50 par value, noncumulative convertible preferred stock outstanding at December 31, 2016. Preferred dividends for 2017 amounted to $13,500. Each convertible preferred stock can be converted into two shares of common stock. No convertible preferred stock had been converted by 12/31/2017.

Net income for 2017 was $180,905. The income tax rate is 30%. Other relevant information is as follows:

Outstanding at December 31, 2016, were stock option giving key personnel the option to buy 20,000 (adjusted for the stock dividends) common shares at $40. During 2017, the average market price of the common shares was $50 (adjusted for the stock dividends on December 31, 2017. No stock option was exercised during the year.

$100,000, 9% bonds were issued at a premium on December 20, 2016. None of the bonds had been converted by December 31, 2017. Bond interest expense of $8,700 was recorded in 2017. The premium is being amortized at $300 in 2017. Each $1,000 bond is convertible into 20 shares of common stock.

$500,000 of 8% bonds was issued at a discount on October 10, 2016. None of the bonds had been converted by December 31, 2017. Each $1,000 bond is convertible into 24 shares of common stock.

(a)Compute the weighted average shares of 2017 for Gary Company.

(b)Compute the basic and diluted earnings per share of 2017 for Gary company

Graeter’s is thinking about expanding its ice cream flavors. They have created three new flavors of ice cream: (1) Lemon Merengue Pie, (2) Butterscotch, and (3) Banana Cream Pie. They recruit 18 people to participate in their study, and they assign each participant to taste-test one of their new ice cream flavors. After tasting the flavor, participants rate their likelihood of ordering that ice cream flavor on their next trip to Graeter’s, using a scale from 1 (I definitely wouldn’t order this flavor) to 10 (I definitely would order this flavor). The data is as follows:

For this problem, complete the following steps. You must show ALL OF YOUR WORK to receive credit for this problem.(21 pts.)

(1) Identify the two hypotheses. (2 pts.)

(2) Determine the critical region for your decision (use α = 0.05). (3 pts.)

(3) Compute the test statistic. (8 pts.)

(4) Use the test statistic to make a decision and interpret that decision. (1 pt.)

(5) If needed, conduct a post hoc test. (5 pts.)

(6) Compute and interpret η2 as a measure of the effect size.(2 pts.)