Business students taking statistics at ColoneI Samuel College beiieve that the mean score on a first statistics test is at most 69 . An inistructor, intending to prove that the mean score is higher, randomly samples 13 statistics students and obtairs the following scores: Download CSV Test grades are believed to be normally distributed. Use a significance level of 10%. Round answers to at least 3 decimal places: A. Select the appropriate alternative hypothesis, H1 or Ha : 69=6969=6969 B. Calculate the sample mean: C. Calculate the estimated standard error of the sample mean: D. Calculate the test statistic: t= E. State the critical value at =0.1 : F. Decision: Fail to reject the null hypothesis. Reject the null hypothesis. Question Help: Video The manufacturer of a particular brand of tires claims they average at least 83,000km before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 13,000km. A survey of tire owners was conducted to determine if the mileage of the tires is lower than 83,000km. From the 37 tires sampled, the mean lifespan was 76,500km. Testing at =1%, can we prove that the data is inconsistent with the manufacturers claim? A. We should use a test. B. What are the cort H0:H1:leiedahanumen Based on the hypotheses, find the following (round correct to at least 2 decimal places): C. Test Statistic = D. Critical Value = (note the direction of H1 ) E. The correct decision is to F. The correct conclusion would be: There is enough evidence to conclude that the tires do not last less than the kilometres claimed There is enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tires do not last less than the kilometres claimed 2uestion Help: Video A. We should usn a tw test. B. What are the correct hypotheses? There is enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tres last iess than the kilometres claimed There is not enough evidence to conclude that the tres do not last less than the kilometres claimed Question Help: DVideo The manufacturer of a particular brand of tires claims they awerage at least 82,00 before needing to be replaced From past stuc population standard deviation is 13000 kamh. A survey of tire owners was conducted to determine if the mileage of the tires is in than 83,000km. From the 37 tires samplod, the mean ifespan was 78,500km. Tn at a=1%, can we prove that the data is inconsistent with the manutacturess elain A. We should use a test. B. What are the correct hypotheses? There is enough evidence to conclude that the tires do not last less the kilometres claimed There is enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tires last less than kilometres claimed There is not enough evidence to conclude that the tires do not last les the kilometres claimed Question Help: Video The manufacturer of a particular brand of tires claims they awerage at least 82,00 before needing to be replaced From past stuc population standard deviation is 13000 kamh. A survey of tire owners was conducted to determine if the mileage of the tires is in than 83,000km. From the 37 tires samplod, the mean ifespan was 78,500km. Tn at a=1%, can we prove that the data is inconsistent with the manutacturess elain A. We should use a test. B. What are the correct hypotheses? There is enough evidence to conclude that the tires do not last less the kilometres claimed There is enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tires last less than kilometres claimed There is not enough evidence to conclude that the tires do not last les the kilometres claimed Question Help: Video The manufacturer of a particular brand of tires chainu they a rige ap leais 83000km oplalation standard deviation is 13,000kmt survey of tire owners was conducted to determine if the mi cust of the tirs a cuse A We should use a test. B. What are the correct hypotheses? H0: Based on the hypotheses, find the following pround correct to at laast 2 decima. places): C. Test Statistic = D. Critical Value = (note the direction of H1 ) E. The correct decision is to F. The correct conclusion wa Select an answer There is enough evic Accept the null hpotheess. do not last less than the kilometres claimed There is enough evic Accept the allematice typothois kilometres claimed There is not enough less than the Reject the null hypethesis kilometres claimed last less than the Fall to toject the rual hypothesis is not enough uestion Help: In conducting the hypothesis test below, your sample consists of 20 observations, with a mean of 32.1 and standard deviation of 1.72 . H0:31.1H1:>31.1 a) This is a b) Calculate the test statistic, rounded to 3 decimal places. t= c) At =0.01, the rejection region is t>2.539t2.861t69=6969=6969 B. Calculate the sample mean: C. Calculate the estimated standard error of the sample mean: D. Calculate the test statistic: t= E. State the critical value at =0.1 : F. Decision: Fail to reject the null hypothesis. Reject the null hypothesis. Question Help: Video The manufacturer of a particular brand of tires claims they average at least 83,000km before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 13,000km. A survey of tire owners was conducted to determine if the mileage of the tires is lower than 83,000km. From the 37 tires sampled, the mean lifespan was 76,500km. Testing at =1%, can we prove that the data is inconsistent with the manufacturers claim? A. We should use a test. B. What are the cort H0:H1:leiedahanumen Based on the hypotheses, find the following (round correct to at least 2 decimal places): C. Test Statistic = D. Critical Value = (note the direction of H1 ) E. The correct decision is to F. The correct conclusion would be: There is enough evidence to conclude that the tires do not last less than the kilometres claimed There is enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tires do not last less than the kilometres claimed 2uestion Help: Video A. We should usn a tw test. B. What are the correct hypotheses? There is enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tres last iess than the kilometres claimed There is not enough evidence to conclude that the tres do not last less than the kilometres claimed Question Help: DVideo The manufacturer of a particular brand of tires claims they awerage at least 82,00 before needing to be replaced From past stuc population standard deviation is 13000 kamh. A survey of tire owners was conducted to determine if the mileage of the tires is in than 83,000km. From the 37 tires samplod, the mean ifespan was 78,500km. Tn at a=1%, can we prove that the data is inconsistent with the manutacturess elain A. We should use a test. B. What are the correct hypotheses? There is enough evidence to conclude that the tires do not last less the kilometres claimed There is enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tires last less than kilometres claimed There is not enough evidence to conclude that the tires do not last les the kilometres claimed Question Help: Video The manufacturer of a particular brand of tires claims they awerage at least 82,00 before needing to be replaced From past stuc population standard deviation is 13000 kamh. A survey of tire owners was conducted to determine if the mileage of the tires is in than 83,000km. From the 37 tires samplod, the mean ifespan was 78,500km. Tn at a=1%, can we prove that the data is inconsistent with the manutacturess elain A. We should use a test. B. What are the correct hypotheses? There is enough evidence to conclude that the tires do not last less the kilometres claimed There is enough evidence to conclude that the tires last less than the kilometres claimed There is not enough evidence to conclude that the tires last less than kilometres claimed There is not enough evidence to conclude that the tires do not last les the kilometres claimed Question Help: Video The manufacturer of a particular brand of tires chainu they a rige ap leais 83000km oplalation standard deviation is 13,000kmt survey of tire owners was conducted to determine if the mi cust of the tirs a cuse A We should use a test. B. What are the correct hypotheses? H0: Based on the hypotheses, find the following pround correct to at laast 2 decima. places): C. Test Statistic = D. Critical Value = (note the direction of H1 ) E. The correct decision is to F. The correct conclusion wa Select an answer There is enough evic Accept the null hpotheess. do not last less than the kilometres claimed There is enough evic Accept the allematice typothois kilometres claimed There is not enough less than the Reject the null hypethesis kilometres claimed last less than the Fall to toject the rual hypothesis is not enough uestion Help: In conducting the hypothesis test below, your sample consists of 20 observations, with a mean of 32.1 and standard deviation of 1.72 . H0:31.1H1:>31.1 a) This is a b) Calculate the test statistic, rounded to 3 decimal places. t= c) At =0.01, the rejection region is t>2.539t2.861t