The president of a university claims that the mean time spent partying by al students at this university is not more than 7 hours per week. A random sample uf 20 students taken from this university show ed that they spent an average of 10.50 hours partying the previous week with a standard deviation of 2.3 hours. Assuming that the time spent partying by all students at this university is approximately normally distributed, test at the 2.5% significance level whether the pre sident's claim is true. Explain your
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- A state Department of Transportation claims that the mean wait time for various services at its different location is more than 6 minutes. A random sample of 16 services at different locations has a mean wait time of 9.5 minutes and a standard deviation of 7.3 minutes. At α=0.01, can the department’s claim be supported assuming the population is normally distributed?Suppose a new construction company claims that, the mean time to complete a commercial complex is around 15 months. A sample of 16 construction companies are randomly selected and it is found that the mean time taken by them to complete a commercial complex building was 12.5 with a standard deviation of 2.5 months. At 10% level of significance, do you have sufficient evidence to conclude that the new construction company claim true? What is the Null hypothesis (H0); Alternate hypothesis (H1); and the direction of the test? Which distribution is used in this case? What is the critical value? What is the Test Statistic Value? What is the P-value? What is the conclusion of the test?he manager of a large resort hotel, has been receiving complaints from some guests that they are not being provided with prompt service upon approaching the front desk. In particular, he is concerned that the desk staff might be providing female guests with less prompt service than their male counterparts. For a sample of 35 male guests, he found thatit takes an average of 15.2 seconds, with a standard deviations 5.9 seconds for them to be greeted after their arrival at the front desk. For a sample of 37 female guests, the mean and standard deviation are 17.4 seconds and 6.4 seconds, respectively. Assuming the two population are independent and the population variances are equal, hypotheses examine whether the population mean time for serving female guests might actually be greater than that of serving male-guests. Suppose that the pooled variance is 37.9729. The test statistic is
- A nurse supervisor has found that staff nurses, on the average, complete a certain task in 10 minutes. If the times required to complete the task are approximately normally distributed with a standard deviation of 3 minutes, find: (a) The proportion of nurses completing the task in less than 4 minutes(b) The proportion of nurses requiring more than 5 minutes to complete the task(c) Theprobabilitythatanursewhohasjustbeenassignedthetaskwillcompleteitwithin3minutesWith individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.2 minutes. After switching to a single waiting line, he finds that for a random sample of 29 customers, the waiting times have a standard deviation of 4.3 minutes. Assume that line waiting times on Mondays are normally distributed. Use a 0.05 significance level to test whether the standard deviation of the waiting times using a single line differs from 5.2 minutes.The number of entrees purchased in a single order at a Noodles & Company restaurant has had a historical average of 2.15 entrees per order. On a particular Saturday afternoon, a random sample of 48 Noodles orders had a mean number of entrees equal to 2.4 with a standard deviation equal to 0.84. At the 2 percent level of significance, does this sample show that the average number of entrees per order was greater than expected? (a) Choose the correct null and alternative hypotheses. H0: μ ≥ 2.15 vs. H1: μ < 2.15 H0: μ ≤ 2.15 vs. H1: μ > 2.15 H0: μ = 2.15 vs. H1: μ ≠ 2.15 a b c (b-1) Calculate the t statistic. (Round your answer to 2 decimal places.) tcalc Not attempted (b-2) Find the p-value. (Round your answer to 4 decimal places.) p-value Not attempted (c) Choose the correct conclusion. Because the p-value is less than 0.02, we conclude that there is evidence to indicate a significant increase in the average number of…
- A national online business magazine reports that the average cost of a speeding ticket in Miami, including court fees, is $220. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 16 drivers who have been fined for speeding in the last year. Assuming that the distribution of speeding ticket costs is normally distributed and the population standard deviation is $13, is there sufficient evidence to support the police department’s claim at the 0.02 level of significance?The chief chemist for a major oil and gasoline production company claims that the regular unleaded gasoline produced by the company contains on average 4 ounces of a certain ingredient. The chemist further states that the distribution of this ingredient per gallon of regular unleaded gasoline is normal and has a standard deviation of 1.2 ounces. What is the probability of finding an average in excess of 4.2 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline? .0062 .0753 .4013 .0475A computer manufacturer estimates that its line of minicomputers has, on average, 7.3 days of downtime per year. To test this claim, a researcher contacts seven companies that own one of these computers and is allowed to access company computer records. It is determined that, for the sample, the average number of downtime days is 4.3, with a sample standard deviation of 1.3 days. Assuming that number of downtime days is normally distributed, test to determine whether these minicomputers actually average 7.3 days of downtime in the entire population. Let α = .01. Appendix A Statistical Tables (Round your answer to 2 decimal places.) The value of the test statistic is enter the value of the test statistic and we choose between reject and fail to reject the null hypothesis .