This question considers a hypothesis test with H0: μ = 200 and H1: μ ≠200 and significance level 5%. A random sample of 25 taken from a population has mean value 224 and standard deviation 50. Should the null hypothesis be rejected?
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This question considers a hypothesis test with H0: μ = 200 and H1: μ ≠200 and significance level 5%.
A random sample of 25 taken from a population has
Should the null hypothesis be rejected?
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- A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized here. Sample Size Sample Mean Population Standard Deviation Men 25 23 5 Women 30 28 10 At the 0.01 significance level, we ask if there is a difference in the mean number of times men and women send a Twitter message in a day. Assume that women are population 1 and men are population 2. What is the p-value for this hypothesis test? Multiple Choice 0.0500 0.0164 0.0001 0.0082Given H₁: Mean waiting time is less than 5 hours. Which of the following best describes the conclusion for the hypothesis test? Sample Mean Sample Variance Count a. At a=5%, support H₁ 1 Output p-value (one-tailed) p-value (two-tailed) O d. O b. At a=-10%, not enough evidence to support H₁ O c. At a=5%, not enough evidence to support H₁ At a=1%, support H₁ 4.82 K 30 L 0.084A 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 n are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hy #H₂ OC. Ho: H₁ H₂2 H₁: Hy > H₂ (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) The test statistic, t, is ← OB. Ho: H₁2. Three (3) treatments were compared using a completely randomized design. The data are shown below. Do the data provide sufficient evidence to indicate a difference in location for at least two of the population distributions? Use Non- Parametric test alpha =.05 level of significance. 1 26 29 23 24 28 26 2 22 31 34 28 29 32 30 33 3 25 24 27 22 24 20If a sample of 40 individuals was taken from a population with a mean of 110 and a standard deviation of 10, what is the Z-score for a one-tailed hypothesis test at a significance level of 0.01 if the sample mean is 112?A statistician is conducting a hypothesis test to determine if the average lifespan of a certain species of bird is equal to 10 years. The null hypothesis is that the average lifespan is equal to 10 years. The sample mean is calculated to be 9.8 years with a standard deviation of 1.5 years. If a significance level of 0.05 is used, what is the p-value of the hypothesis test?A large international company with over 1.5 million employees wants to estimate how many of their employees have a cholesterol level that is higher than the recommended level. The company collects data from a random sample of employees and creates a 95% confidence interval for the population mean cholesterol level for all company employees. The upper bound of a 95% confidence interval for the population mean cholesterol level was 261.48, and the width of the same 95% confidence interval was 10.44. In this confidence interval, what is the sample mean (x bar) cholesterol level? Provide your answer as a number rounded to two decimal placesA test of sobriety involves measuring the subject's motor skills. Twenty randomly-selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. Use the traditional method of testing hypotheses. The results for the test turn out to be: Ho: H = 35.0. H1:µ/35.0. Test statistic: t 7.252. Critical values: t = -2.861, 2.861. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 35.0. If a defense attorney argues the results are not valid because the sample size was too small, is his argument valid here? Yes, because the t-test is not as powerful as the z-test. No, because we rejected the null hypothesis. Yes, because we rejected the null hypothesis. O No, the sample size is never an issuc. O We need more information to answer.A sample of 100 observations from a normal population has a mean of 50 and a standard deviation of 10. The null hypothesis is that the population mean is equal to 48, and the alternative hypothesis is that the population mean is greater than 48. Using a significance level of 0.05, what is the decision and conclusion of the hypothesis test?In a hypothesis test, if the null hypothesis states that the population mean is equal to 100 with a standard deviation of 15, and the sample mean is 108 with a sample size of 36, what is the calculated z-score for this test?An economist collects a simple random sample of 32 teacher's salaries in Cititon, and finds a mean of $67,000 and a standard deviation of $8,000. Is there enough evidence to conclude, at a significance of alpha= 0.05, that the mean salary of teachers in Cititon is different than $70,000? What is the test statistic? What is the null hypothesis? What conclusion do we draw? Do we reject the null hypothesis? What is/ are the critical value(s)? What is the alternative hypothesis? What is the p-value for the problem above?Given two independent random samples with the following results: n₁ = 651 x₁ = 307 n2 = 569 x2 = 234 Can it be concluded that there is a difference between the two population proportions? Use a significance level of a = 0.02 for the test. Copy Data Step 5 of 6: Determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion of your answer to two decimal places.SEE MORE QUESTIONS
