1) A dietitian wishes to see if a person's cholesterol level will change if the diet is supplemented by a certain mineral. Seven subjects were pretested and then took the mineral supplement for a six-week period. The results are shown below in the table. Use a paired samples t-test at α = 0.01 significance level to test the difference (Before - After) between the cholesterol levels. State the hypotheses and conclusion. Also, conduct a 99% confidence interval.\[\begin{array}{ccc}\hline\text{Subject} & \text{1} & \text{2} & \text{3} & \text{4} & \text{5} & \text{6} & \text{7} \\\hline\text{Before} & 210 & 205 & 208 & 192 & 178 & 244 & 211 \\\text{After} & 190 & 170 & 210 & 188 & 173 & 228 & 198 \\\hline\end{array}\]

The given data is as follows: Subject BeforeAfter1210190220517032082104192188517817362442287211198

Answered: 1) A dietitian wishes to see if a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Samples of body temperatures were taken from both men and women. The information from the samples is summarized below. Use a 0.05 significance level to to test the claim that men and women have different mean body temperatures. Men: n₁ = 15; 1 = 98.38° F; s₁ = 0.45°F Women: n2=91; 2 = 98.17°F; $2 = 0.65° F a. On your Work Upload or Calculations page, write down your hypotheses. Label which hypothesis is the claim. b. The test statistic is c. The critical value is . (Round to 3 decimal places.) (Round to 3 decimal places.) d. The p-value is (Round to 3 decimal places.) e. On your Work Upload or Calculations page, show how you made your decision using either the traditional or p-value method. The correct decision is to 1: Reject the null hypothesis, or 2: Fail to reject the null hypothesis. box.) (Type 1 or 2 in the f. On your Work Upload or Calculations page, write your conclusion/results summary. (Use the standard language about evidence and support of claims.)
The average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known). An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test. Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test
A paint company has large outlet stores in two cities. Ten samples of the weekly sales (in tons) for the two cities are as follows. City A: n = 10, X10 = 148.5, S1 = = 4.3. City B: n = 10, Y 10 = 144.2, S2 = 3.8. At a = 0.05 level of significance, test if the weekly sales are different. The following ¨answers" have been proposed. (a) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using an F test, we reject the null hypothesis. (b) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using an F test, we do not reject the null hypothesis. (c) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using a i test, we do not reject the null hypothesis. (d) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using a i test, we reject the…
Find the critical value tc for a 95% confidence level when the sample size is 18. Use Table 4 on page A10 (Appendix) A. 1.740 B. 2.110 C. 2.101 D. 1.734
A small pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Six participants agree to take the nutritional supplement. To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks. The data are shown below. Is there a significant increase in body weight following supplementation? Run the test at a 5% level of significance. Demonstrate the five steps for hypothesis testing and explain your results. Subject Initial Weight Weight after 6 Weeks 1 155 157 2 142 145 3 176 180 4 180 175 5 210 209 6 125 126
Below indicate whether the appropriate test would be an independent t-test, dependent t-test, One-way ANOVA, or z-test. A researcher wants to know if people find baby animals cuter than adult animals. All of the participants in a study are shown 10 pictures of baby animals and 10 pictures of adult animals. They are asked to rate (on a 1 to 10 scale) how cute they think each animal is.
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The average income of a large sample of households is $63,000 and the s.d. is $7,000. Assume that the data is approximately bell-shaped. What percent of these households have incomes between $42,000 and $77,000? Don’t forget to properly justify your answer using the empirical rule.
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Suppose the National Transportation Safety Board wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Test the claim that the mean pressure applied to the driver's head during a crash is equal for all three types of cars. Use a = 0.05 Compact Cars 643 Midsize Cars 469 Full-size Cars 484 655 m 427 456 20 Apple 702 525 A 402 Show your 6 steps labeled in order in the box below using the p-value method.
A study tested the effects of 4 different dosages of a new antidepressant on reducing depressive symptoms in one group of depressed participants. The order of the four dosages was counterbalanced across participants. Which statistical test should be used? Select one: a. One-way between subjects ANOVA b. One-way repeated measures ANOVA c. Two-way between subjects ANOVA Incorrect d. None of these options
To investigate the effect of four treatments on change in body fat mass each of 74 male subjects who were over age 65 was assigned at random to one of the following four treatments: (1) placebo "growth hormone" and placebo "steroid" (denoted by P + P), (2) placebo "growth hormone" and the steroid testosterone (denoted by P + S), (3) growth hormone and placebo "steroid" (denoted by G + P), and (4) growth hormone and the steroid testosterone (denoted by G + S). The accompanying table lists data on change in body fat mass over the 26-week period following the treatment. Carry out an F test to see whether true mean change in body fat mass differs for the four treatments if N = 74, grand total T = -159.3, and x = = -2.1527. (Use a significance level of 0.05.) N Change in Body Fat Mass (kg) Treatment P + P P + S n x 5 5² 0.4 0.3 -1.6 -0.6 -2.2 1.2 0.7 1.4 -1.3 -0.3 1.8 1.1 The conclusion is the following. O reject Ho O fail to reject Ho 0.5 0.3 -1.2 -0.3 0.6 17 1.1270 1.2701 -3.8 -1.1 0.1…

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