Suppose you want to test the claim that u> 25.6 and the population standard deviation is known. Given a sample size of n= 60 and a level of significance of a=0.05, when should you reject Ho? O A. Reject H, if the standardized test statistic is greater than 1.28. B. Reject Ho if the standardized test statistic is greater than 2.33. O C. Reject H, if the standardized test statistic is greater than 1.96. O D. Reject Ho if the standardized test statistic is greater than 1.645.
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![Suppose you want to test the claim that u > 25.6 and the population standard deviation is known. Given a sample size of n=60 and a level of
significance of a=0.05, when should you reject Ho?
A. Reject Ho if the standardized test statistic is greater than 1.28.
B. Reject Ho if the standardized test statistic is greater than 2.33.
O C. Reject H, if the standardized test statistic is greater than 1.96.
O D. Reject Ho if the standardized test statistic is greater than 1.645.
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- A population mean is 13. The sample mean is 12.8, and the sample standard deviation is 2. The sample size is 20. What standard error would you use to conduct a hypothesis test on the mean?Two species of fish have similar phenotypes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes? b. What is the power of the test? How does power of the test help the researchers to decide if they can classify these fish species based on their sizes?Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency. We take a random sample of 100 juveniles, and we find that the mean number of crimes committed is 12 with a standard deviation of 7. Test the null hypothesis that the mean number of crimes committed by the population of juveniles is less than or equal to 11. Use a significance level of .05. (Be sure to show the numeric results that lead to your decision.) Do we reject the null hypothesis here? why or why not.
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Right-tailed…A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hq ZH₂ OC. Ho: H₁ H₂ H₁: Hy > H₂ The test statistic, t, is. (Round to two decimal places as needed.) (Round to three decimal places as needed.) The P-value is State the conclusion for the test. C... OB. Ho: H₁ H₂ H₁: Hy #H₂ OD. Ho: Hg #U2 H₁: HyThe mean number of eggs per person eaten in the United States is 255. Do college students eat less eggs than the average American? The 68 college students surveyed averaged 246 eggs per person and their standard deviation was 30.5. 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Ho: H₁ H¹/₂ H₁: H₁Two species of fish have similar phenotvpes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes?A 0.05 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is greater than 0.5. Assume that sample data consists of 78 girls in 144 births, so the sample statistic of 1324 results in a z score that is 1 standard deviation above 0. Complete parts (a) through (h) below.Click here to view page 1 of the Normal table. LOADING... Click here to view page 2 of the Normal table. LOADING...Question content area bottomPart 1a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.Part 4d. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed Right-tailed Two-tailedPart 5e. What is the value of the test statistic?The test statistic is enter your response here. (Type an integer or a decimal.)Part 6f. What is the P-value?The P-value is enter your response here. (Round to four decimal places as needed.)SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. 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