A sample of 30 items provided a sample mean of 28 and a sample standard deviation of 6. Test the following hypotheses using α = .05. What is your conclusion? H0:σ^2≤ 25 Ha: σ^2 > 25
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- Currently patrons at the library speak at an average of 62 decibels. Will this average increase after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 40 people speaking at the library. Their average decibel level was 69.8 and their standard deviation was 18. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H1: ?v Select an answerv c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the population mean has not significantly increased from 62 at a = 0.05, so there is statistically significant evidence to conclude that the population mean decibel…Currently patrons at the library speak at an average of 60 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 51 people speaking at the library. Their average decibel level was 57.8 and their standard deviation was 6. What can be concluded at the 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: ? Select an answer H₁: ? Select an answer c. The test statistic ? C = (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? α f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) O The data suggest the population mean has not significantly decreased from 60 at a = 0.01, so there is statistically significant evidence to conclude that the population mean decibel level…Many people believe that the average number of Facebook friends is 150. The population standard deviation is 37.6. A random sample of 46 high school students in a particular county revealed that the average number of Facebook friends was 159. At =α0.01, is there sufficient evidence to conclude that the mean number of friends is greater than 150? A. State the hypotheses and identify the claim with the correct hypothesis. :H0 ▼claim or not claim :H1 ▼claim or not claimThis hypotheses test is a ▼one-tailed or two-tailed test B. Find the critical value(s) (c)Compute the test value. z= (d)Make the decision. reject or accept (e)Summarize the results. is there enough evidence to support the claim
- 26.Do men take more time than women to get out of bed in the morning? The 48 men observed averaged 7.2 minutes to get out of bed after the alarm rang. Their standard deviation was 1.1. The 45 women observed averaged 6 minutes and their standard deviation was 2.5 minutes. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean t-test for the difference between two dependent population means t-test for the difference between two independent population means z-test for the difference between two population proportions z-test for a population proportion The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer = < ≠ > Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer μ1 p1 Select an answer = > < ≠ Select an answer p2 μ2 (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The…Many people believe that the average number of Facebook friends is 125. The population standard deviation is 36.8. A random sample of 49 high school students in a particular county revealed that the average number of Facebook friends was 146. At =α0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 125? State the hypotheses and identify the claim with the correct hypothesis. :H0 ▼= :H1 ▼= This hypotheses test is a one tailed or two tailed test z score critical value(s) reject or accept this hypothesis is there enough evidence to support the claimCurrently patrons at the library speak at an average of 66 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 66 people speaking at the library. Their average decibel level was 63.2 and their standard deviation was 18. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answer v Hị: Select an answer c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... | the null hypothesis. OThe data suggest that the population mean decibal level has not significantly decreased from 66 at a = 0.10, so there is statistically insignificant evidence to conclude that the…
- The average American consumes 97 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 79.1 liters of alcohol consumed per year with a standard deviation of 19 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? v = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =If the standard deviation of hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the rivet will not fit. Suppose that in a sample of 15, the standard deviation is 0.008 millimeter. Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? Use α = 0.10. What is the Statistical Decision in statement form?Suppose the mean IQ score of people in a certain country is 103. Suppose the director of a college obtains a simple random sample of 37 students from that country and finds the mean IQ is 107.4 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: H= 103 versus H: u> 103. Explain what the director is testing. Perform the test at the a = 0.01 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 103. B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 103. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103. O D. The director is testing if the sample provided sufficient evidence that…
- The mean SAT score in mathematics is 228. The standard deviation of these scores is 30. A special preparation course claims that the mean SAT score, H, of its graduates is greater than 258. An independent researcher tests this by taking a random sample of 20 students who completed the course; the mean SAT Score in mathematics for the sample was 209. At the 0.05 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 2587 Assume that the population standard deviation of the scores of course graduates is also 30. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) state the null hypothesis H, and the alternative hypothesis H. H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more…E= Over the years, the mean customer satisfaction rating at a local restaurant has been 65. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 65. In a sample of 32 customers chosen at random, the mean customer rating is 76.2. Assume that the population standard deviation of customer ratings is 22.8. Is there enough evidence to support the claim that the mean customer rating is different from 65? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho Aa OOn average, Americans have lived in 2 places by the time they are 18 years old. Is this average a different number for college students? The 46 randomly selected college students who answered the survey question had lived in an average of 1.73 places by the time they were 18 years old. The standard deviation for the survey group was 0.8. 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: H0:H0: H1:H1: 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 that the populaton mean is significantly different from 2 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean number of places that college students…
