In the year 2000, the average car had a fuel economy of 23.35 MPG. You are curious as to whether this average is greater than today. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≤ 23.35, Alternative Hypothesis: μ > 23.35. You perform a one-sample mean hypothesis test on a random sample of data and observe a p-value of 0.005. What is the appropriate conclusion? Conclude at the 5% level of significance.1) The true average fuel economy today is significantly different from 23.35 MPG.2) We did not find enough evidence to say the true average fuel economy today is greater than 23.35 MPG.3) The true average fuel economy today is significantly less than 23.35 MPG.4) The true average fuel economy today is significantly greater than 23.35 MPG.5) The true average fuel economy today is less than or equal to 23.35 MPG.

Answered: In the year 2000, the average car had 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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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…
Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.
Based on historical data in Oxnard college, we believe that 30% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 99% confident that your estimate is within 1% of the true population proportion. How large of a sample size is required? Do not round mid-calculation.
If chi-square is NOT statistically significant with a sample size of 100 and sample size is increased to 1,000, the new chi-square: a. will have the same likelihood of being statistically significant than the previous chi-square b. cannot tell until the new chi-square is calculated c. will be less likely to be statistically significant d. will be more likely to be statistically signficant
A psychologist would like to know whether the 4 seasons have any consistent effect on Amazon shopping. In the middle of each season, a psychologist selects a random sample of n=23n=23 students. Complete the following, ANOVA summary table (α=0.10α=0.10). Round values for SS and MS to 3 decimal places as needed. Round p-value to 4 decimal places. Source SS df MS F P Between 1.339 Within 1090.32 TOTAL
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please check this. The recidivism rate for convicted sex offenders is 14%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 324 convicted sex offenders who were also drug addicts, 32 of them became repeat offenders. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly different from 14% at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who become repeat offenders…
Based on historical data in Oxnard college, we believe that 30% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required? Do not round mid-calculation.
Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
Suppose the national average dollar amount for an automobile insurance claim is $777.86. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 777.86, Alternative Hypothesis: μ < 777.86. You take a random sample of claims and calculate a p-value of 0.0232 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance. Question 9 options: 1) The true average claim amount is significantly different from $777.86. 2) The true average claim amount is significantly less than $777.86. 3) The true average claim amount is significantly higher than $777.86. 4) We did not find enough evidence to say the true average claim amount is less than $777.86. 5) The true average claim…
Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 398 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > < ≠ = (please enter a decimal) H1:H1: ? μ p Select an answer < = ≠ > (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer fail to reject accept reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 15% at αα = 0.05, so there is statistically insignificant evidence to conclude that the…
true or false? Suppose a sample size of 87 was used to conduct a right tailed hypothesis test for a single population mean. The null hypothesis was H0: μμ = 45 and the sample mean was 50 and the p-value was 0.03. Then there is a 3% chance that 87 randomly selected individuals from a population with a mean of 45 and the same standard deviation would have a sample mean greater than 50.

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