A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=192, x=5.58, s = 2.03. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P- value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: μ= 6.00 H₁: μ#6.00 O C. Ho: μ = 6.00 H₁: μ<6.00 OB. Ho: μ-6.00 H₁: μ> 6.00 D. Ho: μ<6.00 H₁: μ>6.00
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- Q6Do male and female college students have the same distribution of living arrangements? Use a level of significance of 0.05. Suppose that 87 randomly selected male college students and 95 randomly selected female college students were asked about their living arrangements: dormitory, apartment, or other. The results are shown in Table. Do male and female college students have the same distribution of living arrangements? Dormitory Apartment Other Male 37 45 5 Female 38 37 20 What is the chi-square test-statistic for this data?χ2=Determine the Test statistic. Determine the P-Value. State the final conclusion that addresses the original claim.
- A data set includes data from student evaluations of courses. The summary statistics are nequals=8585, x overbarxequals=3.423.42, sequals=0.540.54. Use a 0.010.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.503.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.identify the test statistic. Identify the P-value.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: HyUse the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. Sample data: x¯=32.4 mi s=8.3 mi n=35 Identify the tail of the test. Find the P-value Will the null hypothesis be rejected? Is the initial claim supported?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 0.01 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: H₁ H₂ OC. Ho: H₁ H¹/₂ H₁: H₁A data set lists earthquake depths. The summary statistics are equals=600600, x overbarxequals=5.365.36 km, sequals=4.334.33 km. Use a 0.010.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.005.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary statistics are that a simple random sample has been selected. Use a 0.05 significance level to test the claim that cans of Coke have that consumers are being cheated? Click the icon to view the data set of regular Coke can volumes. Identify the null and alternative hypotheses. H₂: H₁: ▼ (Type integers or decimals. Do not round.) C n = 36, x= 12.193 oz, s = 0.106 oz. Assume mean volume of 12.00 ounces. Does it appearA special academic program for skilled students conduct an admission exam to select their new cohort. The admission exam is known to have a mean score of 66. An examiner thinks that the actual mean score for the most recent applicants is lower than 66. He randomly samples the scores of 18 recent applicants and obtains the average scores as 62.0 with a standard deviation of 8.7. He performs a hypothesis test using a 5% level of significance to reach an appropriate conclusion. a. Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal places. b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign) Answer rounded to at least 3 decimal places. c. Determine the p-value for this test. Answer in exact fraction, or rounded to at least 4 decimal places.Based on information from the Statistical Forum, the population mean daily cost of operating a car is $ 18. A random sample of 26 students who own cars found a sample mean operating cost per day of $17.30. The population standard deviation is known and its value is $3.2. Test the alternative hypothesis that the population mean daily cost of operating a car for all students is lower than the national population average of $18. Use the 1% level of significance. 1) Specify the null and the alternative hypotheses. 2) Compute the Sample Test Statistic for this hypothesis test. 3) Find the p-value for this hypothesis test. 4) What is the decision for this hypothesis test.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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