A test prep website claims that students who use their service improve their SAT scores by an average of 109 points. After using the site, the SAT scores of a random sample of 50 students improved by an average of 102 points with a standard deviation of 23.2 points. Use a hypothesis test to evaluate the claim of this website. Hypotheses: Model: Mechanics: Conclusion:

A test prep website claims that students who use their service improve their SAT scores by an average of 109 points. After using the site, the SAT scores of a random sample of 50 students improved by an average of 102 points with a standard deviation of 23.2 points. Use a hypothesis test to evaluate the claim of this website. Hypotheses: Model: Mechanics: Conclusion:

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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section 10.2 Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places. Step 3 of 3: Do we reject the null hypothesis? Is there sufficient or insufficient data?
Part IV. Interpreting Decision Instruction. Determine whether the claim represents the null hypothesis orthe alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis? (b) fails to reject the null hypothesis? 1. Agovernment agency claims that more than 75% of full-time workers earn a minimum wage per week. 2. A researcher claims that the standard deviation of the life of a certain type of lawn mower is at most 2.8 years.
Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value? If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…
The recidivism rate for convicted sex offenders is 11%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 337 convicted sex offenders who were also drug addicts, 30 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: Ho: ? ✓ Select an answer H₁: ? ✓ Select an answer (please enter a decimal) (Please enter a decimal) The test statistic ? ✓ = The p-value = The p-value is? ♥ α Based on this, we should [Select an answer the null hypothesis. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest the population proportion is not significantly different from 11% at a = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of convicted sex offender drug addicts who become…
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A survey by Men’s Health magazine stated that 14% of men said they used exercise to reduce stress. Could this be valid, or is it actually less than what the magazine claims? A random sample of 100 men was selected, and 10 said that they used exercise to relieve stress. If a=0.10, test a hypothesis and state your conclusion in context.
A recent survey of 1030 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.
A local coach wants to see if training in light rooms or dark rooms impacts athlete performance. With the single team, the coach tries training in different conditions and takes measurements. She ran her analysis in Microsoft Excel and received the following output table. If the P value is less than 0.05, the null hypothesis may be rejected. Based on the data table, what decision should the coach make about the hypothesis? Coach should reject the null hypothesis. Coach should fail to reject the null hypothesis. Coach should accept the null hypothesis. Coach does not have enough information to decide.
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A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? Click the icon to view the data table of the riding times. Determine the null and alternative hypotheses. Ho: H₁: xar Riding Times (minutes and seconds) Mile 1 Mile 2 Mile 3 3:15 3:23 3:24 3:22 3:20 3:19 3:22 3:21 3:16 3:18 3:33 3:30 3:28 3:30 3:28 (Note: when pasting the data into your technology, each mile row will have separate columns for each minute and second entry. You will need to convert each minute/second entry into seconds only.) Print Done X all Check answer
A December 2017 Gallup Poll reported that 43% of Americans use the internet for an hour or more each day. You suspect that a greater proportion of students at your school use the internet that much. You take a random sample of 60 students and find that 36 of them use the internet for an hour or more each day. Assume your school has more than 600 students. You will test the hypotheses H, : p = 0.43, H,:p>0.43 , where p= the true proportion of students at your school who use the internet for an hour or more each day. Which of the following gives the correct test statistic for this test? 0.43 - 0.6 Z = (0.6)(0.4) 60 0.43-0.6 (0.6)(0.4) 600 0.6-0.43 (0.6)(0.4) 60 0.6 - 0.43 (0.43)(0.57) 60 36 - 60 (36)(24) 60
The U.S. Department of Labor stated that the national unemployment rate was 4.9%. Of a sample of 90 people in one city, 5.2% were unemployed. Can the city conclude that their unemployment rate is the same as the national average? Do we reject the null hypothesis? (Answer on Excel)