the null hypothesis Ho and alternative hypothesis Ha. Calculate the standard error. Calculate the z score. Calculate the p value. What is the conclusion?
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- A set of exam scores is normally distributed with a mean = 82 and standard deviation = 6.Use the Empirical Rule to complete the following sentences.68% of the scores are between and .95% of the scores are between and .99.7% of the scores are between and .The average starting salary of students who graduated from colleges of Business in 2009 was $48,800. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $7000. We want to determine whether or not there has been a significant increase in the starting salaries. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value for this test. d. What do you conclude from the test? e. What does the test result mean in the context of this problem?The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.Refer to Exhibit 6-5. What is the random variable in this experiment? a. 8 ounces b. Weight of items produced by a machine c. Normal distribution d. 2 ounces
- C. Compute the test value D. Make a decisionA study was done on body temperatures of men and women. 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. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…A study was done on body temperatures of men and women. 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. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ C. Ho: M₁ = H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) B. Ho: H₁ H₂ H₁ H₁An educational researcher claims that the average GPA of graduate students at FIU is less than 3.5 . To test his claim he collected data on 81 graduate students . The sample mean GPA was 3.25 with a standard deviation of 0.3 . What is the conclusion ? Group of answer choices A. Reject the null hypothesis B. Type I error C. Fail to reject the null hypothesis D. Reject the alternative hypothesisThe mean annual tuition and fees for a sample of 14 private colleges in California was $37,900 witrh a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approxiamately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000? a. State the null and alternate hypothesis. b. Compute the value of the t statistic. How many degrees of fredom are there?A study was done on body temperatures of men and women. 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. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men H₁ 11 97.66°F 0.75°F Women H₂ 59 97.22°F 0.68°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O C. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Fail to reject the null hypothesis. There is sufficient evidence to support the…K In a random sample of eleven people, the mean driving distance to work was 22.3 miles and the standard deviation was 4.9 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. O B. % of all random samples of eleven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. OC. With % confidence, it can be said that most driving distances…Given in the table are the BMI statistics for random samples of men and women. 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. a. Use a 0.05 significance level, and test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is . (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: H₁ = H₂ H₁: H1 H₂ O A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have…The mean number of eggs per person eaten in the United States is 242. Do college students eat more eggs than the average American? The 57 college students surveyed averaged 252 eggs per person and their standard deviation was 26.2. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H₁: Select an answer Select an answer c. The test statistic ? ✓ d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest that the sample mean is not significantly more than 242 at a = 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is more than 252. The data suggest that the populaton mean is…SEE MORE QUESTIONS