In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the average score was 76.3. A random sample of eight students was asked significance level. predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 76.3. Use a two-sided alternative and a 10% 78 83 73 69 65 72 81 71 D Click the icon to view the upper critical values of the Student's t distribution, " s/Jn 'n-1a x-Ho O B. Reject H, if s/ yn メーPO OC. Reject H, if x-Ho >4-1a/2 s/ yn <-4-19/2 or reject H, If Determine the value(s) for -t,-1a ,-1a or 2t-1a/2 as appropriate for this test. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. x-Po =(Round to three decimal places as needed.) s/ yn State the conclusion of this test. the null hypothesis. There v sufficient evidence that the population mean prediction is not equal to 76.3. Reject swer(s). Do not reject

In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the average score was 76.3. A random sample of eight students was asked significance level. predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 76.3. Use a two-sided alternative and a 10% 78 83 73 69 65 72 81 71 D Click the icon to view the upper critical values of the Student's t distribution, " s/Jn 'n-1a x-Ho O B. Reject H, if s/ yn メーPO OC. Reject H, if x-Ho >4-1a/2 s/ yn <-4-19/2 or reject H, If Determine the value(s) for -t,-1a ,-1a or 2t-1a/2 as appropriate for this test. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. x-Po =(Round to three decimal places as needed.) s/ yn State the conclusion of this test. the null hypothesis. There v sufficient evidence that the population mean prediction is not equal to 76.3. Reject swer(s). Do not reject

Name: In Izmir University of Economics, a statistics instructor is interest
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the av

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A geologist is making guesses about the mean length of fossil teeth of a certain species found in a location. According to her judgment, the probability is 0.25 that their mean will be higher than 17.8 cm, and the probability is 0.15 that they will be higher than 19.2 cm. If the geologist’s uncertainty about the length of the teeth can be represented by a normal distribution, what are the mean and variance of that distribution?
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.3 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, u, is greater than 7.3 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.5 ounces and that the standard deviation is 0.6 ounces. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type I error? A Type I error is ? fact, u is ? v the hypothesis that u is ? v? v. when, in Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making? ?
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 10; 5; 13; 3; 11; 8; 6; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) t = Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence…
Which of these scenarios means that a pretest-posttest design with a non-equivalent control group is not suitable? Select all that apply. O a. All of the available participants will be receiving the intervention at the same time. O b. Authors want to examine for any trends in the data over time. O c. The participants were placed into the experimental and control groups by natural circumstances rather than random assignment. O d. Authors want to compare averages between two groups before and after the intervention using an ANOVA.
A researcher was interested in comparing the mean grade-point-average (GPA) of students at the University of Toronto Scarborough and Mississauga campuses. Independent random samples of 8 students from the Scarborough campus and 13 students from the Mississauga campus yielded the following GPAs. You can assume the data in each group follow a normal distribution. Do the data provide sufficient evidence to conclude that the mean GPA of students at the Scarborough campus different from the mean GPA of students at the Mississauga campus? A. What statistical test is most appropriate to answer this question? B. Identify the relevant assumptions and conditions. State how these have or have not been met. C. Write an appropriate null and alternative hypothesis for this question.
Insurance Company A claims that its customers pay less for car insurance, on average, than customers of its competitor, Company B. You wonder if this is true, so you decide to compare the average monthly costs of similar insurance policies from the two companies. For a random sample of 7 people who buy insurance from Company A, the mean cost is $150 per month with a standard deviation of $16. For 12 randomly selected customers of Company B, you find that they pay a mean of $160 per month with a standard deviation of $14. Assume that both populations are approximately normal and that the population variances are equal to test Company A's claim at the 0.10 level of significance. Let customers of Company A be Population 1 and let customers of Company B be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
A recent Gallup Poll interviewed a random sample of 1523 adults. Of these, 868 bought a lottery tickets in the past year. Suppose that in fact (unknown to Gallup) exactly 60% of all adults bought a lottery ticket in the past year. If Gallup took many simple random samples of 1,523 people, the sample proportion who bought a ticket would vary from sample to sample. The sampling distribution would be close to normal with a mean of 0.6 and a standard deviation of___ A)0.4899 B)0.0251 C)0.00016 D)0.0126
Typed plzz Asap
Prices of basic commodities are often greatly affected by typhoons. During the aftermath of recent typhoon, the prices of tilapia were reported to have been sold at ₱20 – ₱25 more per kilogram at local wet markets. However, the price was back to its normal mean price at ₱100 per kilo one week after. If a random sample of 10 tilapia sales transactions from local wet markets have prices (in pesos per kilo) of 107, 115, 130, 95, 100, 105, 98, 116, 104, 100. Assuming that the tilapia prices are normally distributed, is there sufficient evidence to say that the mean price of tilapia in these markets is greater than ₱100? Use a 0.05 level of significance. State the null and alternative hypotheses: Ho: ________ (symbols) Ho: _______________________________ (statement) Ha: _________ (symbols) Ha: _______________________________ (statement)
Question 2 > The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 14 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 8, 7, 7, 9, 7, 10, 9, 8, 10, 6, 9, 6, 8 What can be concluded at the a = 0.05 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: |? Select an answer H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that . The data suggest the populaton mean is significantly different from 7 at a = 0.05, so there is sufficient evidence to conclude that the…