In the past, the mean running time for a certain type of flashlight battery has been 8.6 hours. Themanufacturer has introduced a change in the production method and wants to perform a hypothesis test todetermine whether the mean running time has increased as a result. The hypotheses are:Ho: μ = 8.6 hoursHa:μ > 8.6 hourswhere μ is the mean running time of the new batteriesExplain the meaning of a Type II error.O A. A Type II error would occur if, in fact, μ = 8.6 hours, but the results of the sampling do not lead torejection of that fact.OB. A Type Il error would occur if, in fact, μ> 8.6 hours, but the results of the sampling lead to theconclusion that μ< 8.6 hours.O C. A Type II error would occur if, in fact, μ = 8.6 hours, but the results of the sampling lead to theconclusion that μ> 8.6 hours.O D. A Type Il error would occur if, in fact, µ> 8.6 hours, but the results of the sampling fail to lead to thatconclusion.

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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 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…
Suppose researchers conducted a study to see if the mean body temperature for adultswas different from 98.6 degrees Fahrenheit. For this study, they took a random sampleof 25 healthy adults and found a mean body temperature of 98.2 degrees Fahrenheit forthe sample with a standard deviation of 0.6 degrees. The temperatures of the sampleparticipants were unimodal and symmetric.a. Write the null hypothesis and alternative hypothesis and define your parameter.b. Show that the necessary conditions (Randomization Condition, 10% Condition,Nearly Normal Condition) are satisfied to perform a hypothesis test. Brieflyexplain how each condition is satisfied.c. Perform the hypothesis test and find the P-value. (To show your work: Writedown which calculator you are using and what values you are entering into thecalculator.)d. Is there strong evidence that the mean body temperature is different than 98.6degrees? Briefly explain how you know.
A random sample of n =18 data from a normal distrinution with unknown variance = 25.1 and s=3. 24. a. Find a 98% confidence interval for the population mean. b. Interpret the interval.
A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 7.45 and the critical Chi square is 9.488. What may be concluded? Group of answer choices A.reject the null hypothesis, church attendance and marital status are independent B.fail to reject the null hypothesis, church attendance and marital status are independent C.Reject the null hypothesis, church attendance and marital status are dependent D.fail to reject the null hypothesis, church attendance and marital status are dependent
Previously, 12.1% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 80 workers and finds that 18 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the x = 0.1 level of significance. What are the null and alternative hypotheses? P = 0.121 versus H1: p Ho: p (Type integers or decimals. Do not round.) > 0.121 Because npo (1- Po) = < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.)
Use the given problem to answer the following questions: A random sample of 25 is selected from a normal population with a variance of 20. We want to test the hypothesis that the mean is greater than 40 with a 0.05 level of significance. 28. If the t-score is 2.23, what would be the decision? Reject H. Fail to reject H, А. В. 29. What are the null and alternative hypotheses? A. Ho : µ :40 На: и 40 D. Ho : µ > 40 Ha :µ < 40 30. Which of the following is/are the critical value/s of the test statistics that should be used? А. 2.064 В. 2.33 C. 1.711 D. 1.645
The Wilcoxon signed-rank test can be used to perform a hypothesis test for a population median, η, as well as for a population mean, µ. Why is that so?
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?
Previously, 10.4% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 75 workers and finds that 16 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the a = 0.1 level of significance. What are the null and alternative hypotheses? 0.104 versus H1: p Ho: p P = (Type integers or decimals. Do not round.) > 0.104 %3D Because npo (1- Po) 10, the normal model be used to approximate the P-value. %3D (Round to one decimal place as needed.)
You are conducting a hypothesis test on the body weights of male fraternity members. The research (alternative) hypothesis is that the averge weight is less than 200 lbs. Your test will be at the 0.01 significance level. You take a sample of 100 men, and find that the sample average is 210 lbs, and the standard error is 2 lbs. What is the value of your test statistic? (Please answer to two decimal places. ex: 5.43)
Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag. Assume net weights are Normally distributed. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses Ho: µ= 14 versus Ha: µ<14. To do this, he selects 16 bags of tortilla chips of this brand at random and determines the net weight of each. He finds a sample mean of 13.88 ounces with a standard deviation of s test statistic? 0.24 ounces. What is the value of the A) t=-0.50 В) t%3D-2.00 C) t=-8.00 D) t=-8.33
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 436 gram setting. Based on a 20 bag sample where the mean is 433 grams and the variance is 121, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.

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