Determine the critical value for a right tailed test of a population mean at the a=0.001 level of significance with 15 degrees of fredom.
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Determine the critical value for a right tailed test of a population
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- A poll of 100 randomly selected car owners revealed that the mean length of time that they plan to keep their cars is 6.75 years and standard deviation is 3.60 years. Test the claim that the mean length of time for all car owners to keep their cars is less than 7.50 years. Use a 0.05 significance level.5) A sample of 400 male students is found to have a mean height (55 + 18) inches. Can it be reasonably regarded as a sample from a large population with mean height 66 inches and standard deviation 1.30 inches? Test at 5% level of significance.You are the manager of a restaurant that delivers pizza to college dormitory rooms. You have just changed your delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 36 orders using the new delivery process yields a sample mean of 22.4 minutes and a sample standard deviation of 6 minutes. Perform a hypothesis test to determine if there’s evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes by answering the following questions: (a) What are the null and alternate hypotheses for this test? (b) What is the value of the test statistic for this test? (c) Using the critical value approach, at the 0.05 level of significance, what is the decision rule? (d) What is your conclusion in context of the problem? (Answer this question in a complete sentence(s) and include why, referring to the decision rule.) (e) Using the p-value approach, at the…
- The Sunny Dale Bank monitors the time required to serve customers at the drive-through window because it is an important quality factor in competing with other banks in the city. After analyzing the data gathered in an extensive study of the window operation, bank management determined that the mean time to process a customer at the peak demand period is 5 minutes, with a standard deviation of 1.5 minutes. Management wants to monitor the mean time to process a customer by periodically using a sample size of six customers. Assume that the process variability is in statistical control. Design an x-chart that has a type I error of 5 percent. That is, set the control limits so that there is a 2.5 percent chance a sample result will fall below the LCL and a 2.5 percent chance that a sample result will fall above the UCL. After several weeks of sampling, two successive samples came in at 3.70 and 3.68 minutes, respectively. Is the customer service process in statistical control?The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and 16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15. Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for all students enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students currently enrolled in at least one program for gifted and talented children. The test scores for this sample are as follows: 117,142,112,99,107,109,109,121,121,125,116,123,110,105,110,111,95,128,103,106, 155,98,100,123,107,137,115,127,102,106,121,113,109,128,103,105,130,134,112,102 Click to download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Use this data to calculate the mean WISC score, x¯, for these 40 students. Next, compute the…Researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic illness established two independent test groups. The first group consisted of 12 people with the illness, and the second group consisted of 14 people with the illness. The first group received treatment 1 and had a mean time until remission of 166 days with a standard deviation of 8 days. The second group received treatment 2 and had a mean time until remission of 163 days with a standard deviation of 9 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Construct a 90% confidence interval for the difference −μ1μ2 between the mean number of days before remission after treatment 1 ( μ1 ) and the mean number of days before remission after treatment 2 ( μ2 ). Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate…
- Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?find and interpret the z-score for the darta value given/ the value 250 in a dataset with mean 208 amd standard deviation 21.Researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic illness established two independent test groups. The first group consisted of 15 people with the illness, and the second group consisted of 11 people with the illness. The first group received treatment 1 and had a mean time until remission of 187 days with a standard deviation of 6 days. The second group received treatment 2 and had a mean time until remission of 162 days with a standard deviation of 8 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Construct a 90% confidence interval for the difference H₁-H₂ between the mean number of days before remission after treatment 1 (H₁) and the mean number of days before remission after treatment 2 (H₂). Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three…
- Please answer the last three parts of this question.The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $14,124. The following year, a random sample of 20 two-year institutions had a mean of $17,124 and a standard deviation of $3700. Is there sufficient evidence at the alpha level of 0.05 to conclude that the mean cost has increased. Show 6 steps of hypothesisThe average house has 13 paintings on its walls. Is the mean different for houses owned by teachers? The data show the results of a survey of 12 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 12, 14, 14, 14, 15, 14, 14, 14, 12, 13, 15, 14 What can be concluded at the αα = 0.01 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 different from 13 at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses is equal to 13. The data…