A decision-makor wishes to test the null andemative hypotheses shown to the right using an alpha level equal to 0.05. The population standard deviations are assumed to be known uter the sample data are collected, the test statistic is computed to be z=2.43. Complete parts a through c below Họ: H -2 =0 a. Using the test statistic approach, what conclus ion should be reached about the null hypothesis? Determine the critical value(s) for a= 0.05. Select the corroct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. OB. 22/2=
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- The average number of accidents at controlled intersections per year is 5.7. Is this average less for intersections with cameras installed? The 58 randomly observed intersections with cameras installed had an average of 5.4 accidents per year and the standard deviation was 1. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer = > ≠ < H1:H1: ? μ p Select an answer ≠ > < = The test statistic ? z t = (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 Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly less than 5.7 at αα =…he average American consumes 96 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 104.4 liters of alcohol consumed per year with a standard deviation of 18 liters. What can be concluded at the the αα = 0.10 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 the population mean is not significantly more than 96 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 96 liters per year. The…An experiment was performed to see if the color of paper an exam is printed on could affect scores on the exam. Doyle took a standardized exam on blue paper, usually it is taken on white, and scored 85. The national average on this exam is 70 with stardard deviation of 5. Use the z-scote method to determine if we can reject or fail to reject the null hypothesis based on the Doyle's data and national average.show work & justify your answer.
- It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 50 healthy adults 1 to 4 times daily for 3 days, obtaining 225 measurements. The sample data resulted in a sample mean of 98.4°F and a sample standard deviation of 1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the oa = 0.01 level of significance. State the hypotheses. Ho: H = 98.6°F H1: H < 98.6°F Find the test statistic. tn = - 3.00 (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)The average salary in this city is $43,200. Is the average more for single people? 47 randomly selected single people who were surveyed had an average salary of $49,485 and a standard deviation of $16,570. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer ≠ < = > H1:H1: ? p μ Select an answer > ≠ = < The test statistic ? z t = (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 Select an answer reject fail to reject accept the null hypothesis.Historically, the average time it takes Jessica to swim the 200 meter butterfly is 148.4 seconds. Jessica would like to know if her average time has changed. She records her time on 50 randomly selected occasions and computes the mean to be 147.8 seconds with a standard deviation of 2.3 seconds. Perform the appropriate test of hypothesis to determine whether Jessica’s average time has changed. Use an α=0.01level of significance. Include the following (Show your working): 1. State the null and alternative hypotheses. 2. Calculate the relevant test statistic. 3. Can we reject the null hypothesis? Justify the answer.
- Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 58 randomly observed members of the Presbyterian church donated an average of $24 with a standard deviation of $15. The 42 randomly observed members of the Catholic church donated an average of $31 with a standard deviation of $7. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for a population proportion t-test for a population mean t-test for the difference between two independent population means z-test for the difference between two population proportions 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 p1 μ1 Select an answer < = ≠ > Select an answer p2 μ2 (Please enter a decimal) The test statistic ?…A sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.Claim: The mean systolic blood pressure of all healthy adults is less than than 120 mm Hg. Sample data: For 276 healthy adults, the mean systolic blood pressure level is 119.61 mm Hg and the standard deviation is 14.88 mm Hg. The null and alternative hypotheses are Ho: μ = 120 and H₁: μ< 120. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.) C
- 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…Research suggests a link between mothers alcohol consumption with the birth weight of newborns. Random sampke of 100 mothers who drank during pregnancy, average birth weight od their babies is 7.2 lbs. Average birth weight nationwide is 7.8 lbs. And standard deviation is 1.56. Do mothers who drink have babiea that are significantly smaller compared to nationwide? Use alpha = 01. A. State the null abd the research hypothesisB. Identify the critical values of z or t used to define the decision ruleC. Calculate the test statisticD. Report the p-valueE. Report your findingsRecords indicate that the mean weight of mature rainbow trout in Eagle Creek is 2.25 kg with a standard deviation of 0.53 kg. After years of marked oxygen depletion from pollutants in the creek, you want to perform a hypothesis test to see if the standard deviation, σ, of weights has changed. To do so, you measure the weights of 16 randomly chosen mature rainbow trout from the creek and find that the sample standard deviation is 0.34 kg. Under the assumption that current weights of mature rainbow trout in the creek follow a normal distribution, you will perform a chi-square test.Find χ2, the value of the test statistic for your chi-square test. Round your answer to three or more decimal places.=χ2