assignment
Problem Set 3.3: z TestCriterion: 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 TablezAreazAreazAreazArea1.92.97262.27.98842.62.99562.97.99851.93.97322.28.98872.63.99572.98.99861.94.97382.29.98902.64.99592.99.9986Instruction: 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:What is the IV in this study?What is the DV in this study?Problem Set 3.5: HypothesesCriterion: 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 ErrorCriterion: 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: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 ErrorCriterion: 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: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 TestCriterion: Hand calculate a one-sample t test.Data: Rexs 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 Rexs 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 ? = .05 (two tails).c. Calculate t. Show your work.d. Answer: Is the vase life of Rexs roses significantly different than the population mean? Explain.
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