1. Fruits and Vegetables. According to the Statistical Abstract of the United States, the mean consumption of fruits in 2003 was 98.4 pounds A dietician believes more people are becoming health conscious and that fruit consumption has risen since then. (a) Determine the null and alternative hypotheses. (b) Suppose sample data indicate that the null hypothesis should be rejected State the conclusion of the researcher. (c) Suppose, in fact, the mean consumption of fruits is 98.4 pounds. Was a Type I or Type II error committed? (d)If we tested this hypothesis at the a = 0.05 level of significance, what is the probability of committing a Type I error?

1. Fruits and Vegetables. According to the Statistical Abstract of the United States, the mean consumption of fruits in 2003 was 98.4 pounds A dietician believes more people are becoming health conscious and that fruit consumption has risen since then. (a) Determine the null and alternative hypotheses. (b) Suppose sample data indicate that the null hypothesis should be rejected State the conclusion of the researcher. (c) Suppose, in fact, the mean consumption of fruits is 98.4 pounds. Was a Type I or Type II error committed? (d)If we tested this hypothesis at the a = 0.05 level of significance, what is the probability of committing a Type I error?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

i Advertising Scores Small sedan Medium sedan Large sedan SUV 4WD Minivan 63 46 60 76 69 41 66 79 76 72 43 63 82 59 68 40 55 82 70 74 42 58 80 72 54 70
3 see picture
Answer these question
A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain. (Let 1 = Linda's rats, 2 = Tuan's rats and 3 = Javier's rats.) Weights of Student Lab Rats Linda's rats Tuan's rats Javier's rats 43.0 46.9 51.1 38.5 40.1 40.4 40.7 38.4 37.1 45.8 45.7 44.8 37.8 43.6 47.7 Part (a) State the null hypothesis. H0: ?1 = ?2 = ?3 H0: At least two of the group means ?1, ?2, ?3 are not equal. Part (b) State the alternative hypothesis. Ha: ?1 = ?2 = ?3 Ha: At least two of the group means ?1, ?2, ?3 are not equal. Part (c) Enter an exact number as an…
47
2) Researchers are interested in whether there is any relationship between a person's IQ (x- variable) and how long they live (y-variable). Answer the questions below by using the data provided. Show your work and use the back of the page if necessary. X Y 10 3 6. 6. 7 4 3 4 a) What type of statistical analysis would be most appropriate to use in this scenario? Please justify your answer. b) Please state the null and alternative hypotheses. c) Please report the results of your statistical analyses and make a decision about whether to reject or fail to reject the null hypothesis Use alpha = .05 (two-tailed). %3D
11:34 Big Babies: A public health organization reports that 29% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 14 babies is studied. Part 1 of 2 (a) What is the mean number who weigh more than 20 pounds in a sample of 14 babies aged 6 - s months? Round the answer to two decimal places. The mean number who weigh more than 20 pounds isD. Part 2 of 2 (b) What is the standard deviation of the number who weigh more than 20 pounds in a sample of 14 babies aged 6 - 8 months? Round the answer to four decimal places. The standard deviation of the number who weigh more than 20 pounds isO.
13. Dave likes to grow cucumbers, and each year he experiments with ways to improve his crop. This summer, he wants to determine whether the new fertilizer he has seen advertised will increase the mean number of cucumbers produced per plant. He uses the old fertilizer on 15 cucumber plants and the new fertilizer on the other 13 plants. Over the course of the growing season, he calculates a mean of 17.4 cucumbers per plant for the old fertilizer, with a standard deviation of 2.0 cucumbers. He calculates a mean of 21.6 cucumbers per plant for the new fertilizer, with a standard deviation of 2.7 cucumbers. You may assume that both samples came from populations that are approximately normal. Assume that the population variances are not equal. a. Determine the best point estimate for the true mean difference in cucumber production. Correct notation counts. b. Construct a 95% confidence interval for the true mean difference in cucumber production. For credit, your work must include a…
6. A study of report writing by psychologist is conducted. A scale that measures the intelligibility of psychologist English is devised. This scale, called an "index of confusion" is devised so that low scores indicate high readability. These data are obtained on articles randomly selected from psychology journals and from unpublished reports written in 2015. Unpublished reports 2.39 Journals 1.79 1.75 1.67 1.65 2.51 2.86 2.14 1.87 1.75 1.94 2.56 2.29 2.49 1.62 2.06 1.33 2.36 2.58 2.33 1.96 1.69 1.70 2.62 2.41 1.94 a. Test the appropriate hypotheses. b. Does there appear to be a difference between u, and u, ? Explain.