Stats 4700 number 3 | Statistics homework help

NEED WORK REVISED AND HAVE SOME OF THE ANSWERS ATTACHED FROM TUTOR TO ASSIST

u03a1 Sampling, Hypotheses, Errors, Significance,
One-Sample t Tests, Independent Samples t Tests,
and Confidence Intervals

Complete the following problems within the Word document (do not submit other files). Show your work for problem sets that require calculations. Ensure that your answer to each problem is clearly visible.(You may want to highlight your answer or use a different type of color to set it apart.)

Problem Set 3.1: Central LimitTheorem

Criterion: Determine if a distribution will be normally distributed based on sample size.• Data: As part of a large research study, you administer a new test to 20,000 adults.• Instruction: Answer the following:o Before you record or analyze the data, can you assume that the sampling distribution of the mean for this test will be normally distributed?o Why or why not?

Problem Set 3.2: Standard Error of the Mean

Criterion: Calculate the standard error of the mean.• Data: College students in a large psychology class take a final exam. The mean exam score is 85, and the standard deviation is 5.• Instruction: Using the formula for σM, what will the standard error of the mean (σM ) be when:

a.  The sample size is 25.

b.  The sample size is 16.

c.  The sample size is 20.

Problem Set 3.3: z Test

Criterion: Calculate a z test to make a decision about a sample.• Data: The average (mean) height for adult women is 65 inches, and the standard deviation is 3.5 inches. Given the women you know, you think this number is low; so, you record the heights of 25 of your female friends. The average height of your 25 friends is 66.84 inches.

Portion of the Normal Curve Table

z

Area

z

Area

z

Area

z

Area

1.92

.9726

2.27

.9884

2.62

.9956

2.97

.9985

1.93

.9732

2.28

.9887

2.63

.9957

2.98

.9986

1.94

.9738

2.29

.9890

2.64

.9959

2.99

.9986

Instruction: Answer this: If your friends are just a representative sample of adult females, what is the probability that your friends are so tall?

(Assessment continues on next page.)

Problem Set 3.4: Independent Variables (IVs) and Dependent Variables (DVs)

Criterion: Differentiate between independent and dependent variables.• Data: A researcher randomly assigns a group of adults to one of two diets plans (Diet Plan A or Diet Plan B), and she then measures the amount of weight loss each experiences in a two-week period.• Instruction: Answer the following: o What is the IV in this study?o What is the DV in this study?

Problem Set 3.5: Hypotheses

Criterion: Write a directional-alternative hypothesis, nondirectional-alternative hypothesis, and null hypothesis.• Data: A researcher is studying whether the amount of weight loss differs in participants who follow Diet Plan A versus those who follow Diet Plan B.• Instruction: Write the following:

a. A directional alternative hypothesis.

b. A nondirectional alternative hypothesis.

c. The null hypothesis.

Problem Set 3.6: Errors and Significance: Type 1 and Type 2 Error

Criterion: Differentiate between Type 1 and Type 2 error.• Data: It is an established fact that in the general population, men weigh more on average than women. In a study, you randomly sample 100 men and 100 women, you record each participant’s weight, and you find that there is no significant difference in weight based on gender.• Instruction: Answer the following:o Given that a difference really does exist in the population, what type of error is this (Type 1 or Type 2)? Explain your answer.

Problem Set 3.7: Errors and Significance: Type 1 and Type 2 Error

Criterion: Differentiate between Type 1 and Type 2 error.• Data: In general, men and women do not differ on IQ. However, as part of your study, you found that women scored significantly higher than men on IQ.• Instruction: Answer the following:o Given that you found a difference in your study where none exists in the general population, identify the error (Type 1 or Type 2) and explain your answer.

(Assessment continues on next page.)

Problem Set 3.8: Hypothesis Testing and the z Score.

Criterion: Evaluate a null hypothesis based on analysis of data.• Data: Joan is 72 inches tall. The average (mean) height for adult women is 65 inches, and the standard deviation is 3.5 inches.Instructions:

a.  State the null hypothesis.

b.  State the alternative hypothesis.

c.  Answer this: Joan is taller than what percentage of women in the population? (Hint: Think z score and area under the normal curve.)

d.  Answer this: Given Joan’s height as compared to the population mean, do you expect to reject the null hypothesis? Explain your answer.

Problem Set 3.9: One-Sample t Test

Criterion: Hand calculate a one-sample ttest.

Data: Rex’s Flower Shop advertised fresh cut roses that last longer than other roses. The mean vase life for a rose is 8 days. The following is a sample of the number of vase life days for 9 bouquets of roses from Rex’s Flower Shop: 8, 6, 12, 11, 8, 9, 14, 15, 10.

Instruction: Complete the following:

a. State the nondirectional hypothesis.

b. State the critical t for α = .05 (two tails).

c. Calculate t. Show your work.

d. Answer: Is the vase life of Rex’s roses significantly different than the population mean? Explain.

Problem Set 3.10: One-Sample t Test in SPSS

Criterion: Calculate a one-sample t test in SPSS.

Data: Use the Rex’s Flower Shop data from Problem Set 3.9.

Instruction: Complete the following:

a. Enter the data from Problem Set 3.9 into SPSS and name the variable as Roses.b. In the Toolbar, click Analyze, select Compare Means, and then select OneSample t Test.c. Select Roses and then click Arrow to send it over to the right side of the table. In the box labeled Test Value, enter 8.

(Assessment continues on next page.)

d. Click OK and copy and paste the output into this Word document.e. Compare your SPSS output to your hand calculations from Problem Set 3.9. Are they the same?

Problem Set 3.11: Confidence Intervals

Criterion: Calculate confidence intervals using SPSS.

Data: Use the SPSS output from Problem Set 3.10.

Instruction: Based on the SPSS output fom 3.10 including a test value (population mean) of 8, calculate the 95 percent confidence interval.

Problem Set 3.12: Standard Error of the Difference Between the Means

Criterion: Analyze the relationship between standard error and thedifference between the means.

Data: A researcher examines the results of two separate studies. In the first study, the difference between Group A and Group B is two points but the standard error is large and the difference is not significant. In the second study, the difference between Group A and Group B is also two points but the standard error is small and the difference is significant.

Instruction: Answer this: What might be the reason for the difference in the standard error across the two studies?

Problem Set 3.13: Independent Samples t Test in SPSS

Criterion: Calculate an independent samples t test in SPSS.• Data: Ms Z has two groups of band students. She asks Group 1 to use her new embouchure strengthening cream before practice and has Group 2 practice as usual. The groups scored as following:o Minutes of practice:▪ Group 1: 55, 44, 62, 30, 78, 50, 52.▪ Group 2: 31, 40, 53, 22, 41, 16, 33.• Instruction: Complete the following steps:a. Open the SPSS and create a New DataSet.b. Click the Variable View tab and type Groups in the Namecolumn. Click on the gray box in the Values column. Value Labels window appears. Enter 1 in the Value area and enter Embouchure Cream in the Labelarea. Click Add. Now enter 2 in the Valuearea and enter No Cream in the Labelarea. Click Add. Click OK. The Variable View screen appears.

(Assessment continues on next page.)

c. In row two, enter Minutes in the Namecolumn.d. Click Data View.e. Enter the minutes of practice data (For example, 1 under Groups and 55 under Minutes; 2 under Groups and 31 under Minutes).f. In the Toolbar, click Analyze, select Compare Means, and then select Independent-Samples t Test.g. Select Minutes and then click Arrow to send it over to the Test Variable box.h. Select Groups and then click Arrow to send it over to the Grouping Variable box.i. Click Define Groups and enter 1 for Group 1 and enter 2 for Group 2. Click Continue.j. Click OK and then copy and paste the output to the Word document.

Problem Set 3.14: Independent Samples t Test

Criterion: Identify IV, DV, and hypotheses, and evaluate the null hypothesis for an independent samples t test.

Data: Use the information from Problem Set 3.13.

Instruction: Complete the following:

a.​Identify the IV and DV in this study.

b.​State the null hypothesis and the directional (one-tailed) alternative hypothesis.

c.​Can you reject the null hypothesis at α = .05? Explain why or why not.

Pages (550 words)
Approximate price: -

Why Choose Us

Quality Papers

We value our clients. For this reason, we ensure that each paper is written carefully as per the instructions provided by the client. Our editing team also checks all the papers to ensure that they have been completed as per the expectations.

Over the years, our Acme Homework has managed to secure the most qualified, reliable and experienced team of writers. The company has also ensured continued training and development of the team members to ensure that it keep up with the rising Academic Trends.

Affordable Prices

Our prices are fairly priced in such a way that ensures affordability. Additionally, you can get a free price quotation by clicking on the "Place Order" button.

On-Time delivery

We pay strict attention on deadlines. For this reason, we ensure that all papers are submitted earlier, even before the deadline indicated by the customer. For this reason, the client can go through the work and review everything.

100% Originality

At Essay USA, all papers are plagiarism-free as they are written from scratch. We have taken strict measures to ensure that there is no similarity on all papers and that citations are included as per the standards set.

Our support team is readily available to provide any guidance/help on our platform at any time of the day/night. Feel free to contact us via the Chat window or support email: support@acmehomework.com.

Try it now!

Calculate the price of your order

We'll send you the first draft for approval by at
Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Our Services

Essay USA has stood as the world’s leading custom essay writing services providers. Once you enter all the details in the order form under the place order button, the rest is up to us.

Essay Writing Services

At Essay USA, we prioritize on all aspects that bring about a good grade such as impeccable grammar, proper structure, zero-plagiarism and conformance to guidelines. Our experienced team of writers will help you completed your essays and other assignments.