pounds, with a standard deviation of 15.81 pounds. At the 0.05 level of significance, test theclaim that the weights of football players have a greater variance than the weights of baseballdeviation of 40.09 pounds. A random sample of 25 baseball players had a mean weight of 202.96. A random sample of 48 football players had a mean weight of 246.6 pounds, with a standardith aplayers.ie thsufficient evidence to conclude thatStep 5: There

Given data : sample size 1 ,n1 = 48 Degree of freedom 1,df1= 47 sample standard…

Answered: Step 5: There sufficient evidence to…

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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The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. a. Is this a test of one mean or proportion? b. State the null and alternative hypotheses. HO: c. Is this a right-tailed, left-tailed, or two-tailed test? d. What symbol represents the random variable for this test? e. In words, define the random variable for this test. f. Calculate the following: i. x = ii. n=. lii. p' = g. Calculate ox = h. State the distribution to use for the hypothesis test. i. Find the p-value. j. At a pre-conceived a = 0.05, what is your: i. Decision: ii.…
You may need to use the appropriate appendix table or technology to answer this question. A study showed that 62% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. (a) Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup is less than 62%. H0: p = 0.62 Ha: p ≠ 0.62 H0: p ≥ 0.62 Ha: p < 0.62 H0: p < 0.62 Ha: p ≥ 0.62 H0: p > 0.62 Ha: p ≤ 0.62 H0: p ≤ 0.62 Ha: p > 0.62 (b) If a sample of 100 shoppers showed 51 stating that the supermarket brand was as good as the national brand, what is the p-value? Find the value of the test statistic. (Round your answer to two…
In each problem show all steps of the hypothesis test using PHANTOMS. If some of the assumptions are not met, note that the results of the test may not be correct and then continue the process of the hypothesis test. The FDA regulates that fish that is consumed is allowed to contain at most 1.0 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the mean amount of mercury in the sample of fish from each lake. The data for the average amount of mercury in each lake is in table #7.3.5 ("Multi-disciplinary niser activity," 2013). Do the data provide enough evidence to show that the fish in all Florida lakes have more mercury than the allowable amount? Test at the 10% level. Table #7.3.5: Average Mercury Levels (mg/kg) in Fish 1.23 1.33 0.04 0.44 1.20 0.27 0.48 0.19 0.83 0.81 0.71 0.5 0.49 1.16 0.05 0.15 0.19 0.77 1.08 0.98 0.63 0.56 0.41 0.73 0.34 0.59 0.34 0.84 0.50 0.34 0.28…
A sports enthusiast would like to determine if the average number of penalty minutes per game for teams in the National Hockey League is greater than 12 minutes. A sample of 30 games was taken, and the number of penalty minutes in each game was recorded. Select the appropriate hypotheses to be tested. Ho:μ=12Ho:μ=12Ha:μ>12Ha:μ>12 Ho:μ=12Ho:μ=12Ha:μ≠12Ha:μ≠12 Ho:¯y=12Ho:y¯=12Ha:¯y≠12Ha:y¯≠12 Ho:¯y=12Ho:y¯=12Ha:¯y>12
Mean=3.003 SD =0.058 Num samples=100 2.80 2.90 3 3.10 Sample means A certain fast-food location claims that the average (mean) wait time in the drive-thru lane is 3 minutes. One customer thinks that the average wait time is actually longer than that, and so the customer takes a random sample of drive-thru lane wait times. The customer observes 72 transactions, and the average (mean) wait time for these 72 transactions is 3.6 minutes. In order to conduct a statistical analysis, an applet was used to see if the candidate's claim is plausible. Use the distribution of 100 simulated statistics generated by the applet (pictured above) to answer the questions. a) There are 100 little squares in the simulated distribution. What does each little square represent? O The average wait time of a sample of 72 drive thru transactions if we assume that the average wait time for all transactions is atually 3 minutes. The average wait time of a sample of 100 drive thru transactions if we assume that the…
Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. A psychologist claims that more than 21 percent of the population suffers from professional problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. O There is sufficient evidence to support the claim that the true proportion is greater than 21 percent. O There is not sufficient evidence to support the claim that the true proportion is greater than 21 percent. O There is not sufficient evidence to support the claim that the true proportion is less than 21 percent. There is sufficient evidence to support the claim that the true proportion is less than 21 percent.
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For each of the following hypotheses, identify which statistical test we could run in order to address the specific research question being asked. Your options are: z-Test, One-Sample t-Test, Independent-Samples t-Test, and Paired-Samples t-Test. Be sure to mention a bit about the research design to explain why you chose that specific test: 1) Do the Dodgers and Giants differ in the number of strikeouts they have per game? 2) Does our stats class differ from the national average in IQ? 3) Do people perform better or worse on a cognitive task after they eat cookies? 4) Do "only children" drive safer than other children with siblings? 5) Do people have more friends in college than they did in high school? 6) Do people experience higher levels of sadness or anger after a specific negative outcome?
lath 153 Statistics Bottling Company Case Study complain that the bottles of the brand of soda produced in your company contain Imagine you are a manager at a major bottling company. Customers have begun to less than the advertised sixteen (16) ounces of product. Your boss wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bottles off the line at random from all the shifts at the bottling plant. You ask your employees to measure the amount of soda there is in each bottle. Note: Use the data set provided in the following table to complete this assignment Bottle Number 1 2 3 4 5 6 7 8 9 10 Ounces 14.5 14.6 14.7 14.8 14.9 15.3 14.9 15.5 14.8 15.2 Bottle Number 11 12 13 14 15 16 17 18 19 20 Ounces 15 15.1 15 14.4 15.8 14 16 16.1 15.8 14.5 Bottle Number 21 22 23 24 25 26 27 28 29 30 Ounces 14.1 14.2 14 14.9 14.7 14.5 14.6 14.8 14.8 14.6 Write a two to three (2-3) page report in which you: 1. Calculate the mean, median, and standard…
The proportion of adults living in a small town who are college graduates is estimated to be p = 0.5. To test this hypothesis, a random sample of 10 adults is selected. If the number of college graduates in the sample is anywhere from 3 to 7, we shall not reject the null hypothesis that p = 0.5; otherwise, we shall conclude that p + 0.5. Complete parts (a) through (c) below. Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. Click here to view page 3 of the table of binomial probability sums. %3D (a) Evaluate a assuming that p = 0.5. Use the binomial distribution. (Round to four decimal places as needed.)

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Step 5: There sufficient evidence to conclude that