You wish to test the following claim (Ha) at a significance level of a = 0.01. Но: и — 57.7 На: и + 57.7 You believe the population is normally distributed and you know the standard deviation is o = 10.5. You obtain a sample mean of M = 60.2 for a sample of size n = 18. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) n-value =
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- 2A population of N = 5 scores has a mean of u = 20 and a standard deviation of o = 4. Which of the following is the correct Interpretation of the standard deviation? O The average distance of scores from the mean of p- 20 is 5 points. O The average distance of scores from the mean of u = 20 is 1 point. The average distance of scores from the mean of u = 20 is 4 points. O The average squared distance of scores from the mean of u = 20 is 4 points.Dylan has collected 20 quarters and wants to compare the age of each coin to the age of all coins in the US. Select all the reasons why a z-test should not be used. Choose all that apply: 1. The sample standard deviation cannot be calculated 2. The sample size is >10 3. We do not have the population standard deviation 4. The sample size is <30 5. The population is <500
- You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 20 night students, and the sample mean GPA is 2.85 with a standard deviation of 0.86. You sample 30 day students, and the sample mean GPA is 3.02 with a standard deviation of 0.4. Test the claim using a 5% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses?H0: = H1: Based on the hypotheses, find the following:Test Statistic = p− value = The correct decision is to The correct summary would be: that the mean GPA of night students is different from the mean GPA of day students.Aspirin is packed in 120 tab bottles with weight normally distributed with mean 600g and standard deviation 6g. Rejected bottles are those whose weight differs from the mean weight by 15g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 5000 bottles. 1,Do we have to calculate one z-score or two z-scores? 2. The negative z-score is 3. The positive z-score is 4.How many bottles, of the 5000, do we anticipate to have to reject?This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
- Due in Testing: Ho: u = 40.26 H1: u # 40.26 Your sample consists of 29 subjects, with a mean of 42.1 and a sample standard deviation (s) of 4.48. Calculate the test statistic, rounded to 2 decimal płaces.You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 60 night students, and the sample mean GPA is 2.83 with a standard deviation of 0.52. You sample 50 day students, and the sample mean GPA is 3.21 with a standard deviation of 0.65. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAS are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses? Ho: (H, H, H1: [H, Based on the hypotheses, find the following: Test Statistic = -3.3161 Critical Values = +2.576 X (Just enter the positive CV.)Are you smarter than a second-grader? A random sample of 57 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x =46. Assume the standard deviation of test scores is o = 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have weaker math skills than the nationwide average. Use the a=0.05 level of significance and the P-value method with the TI-84 calculator. Part: 0/ 4 Part 1 of 4 State the appropriate null and alternate hypotheses. H: OA somewhat outdated study indicates that the mean number of hours worked per week by software developers is 44. We have good reason to suspect that the mean number of hours worked per week by software developers, μ, is now less than 44 and wish to do a statistical test. We select a random sample of software developers and find that the mean of the sample is 39 hours and that the standard deviation is 4 hours. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H₁ that should be used for the test? H : μ 2 44 0 H₁ : µ < 44 1 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? Type I (c) Suppose the true mean number of hours worked by software engineers is 44 hours. Fill in the blanks to describe a Type I error. A Type I error would be when, in fact, μ is the hypothesis that u is 3 OJoe wondered what the average age of a Netflix Outer Banks viewer is, so he conducted an SRS of 12 subscribers about their age in years and found that the sample mean is 20.2 years old with a standard deviation of 2.2 years, What is a one-sided standardized test statistic for a sample with a=0.01 if Ho: H=19. O 1.991 O 2.132 O 1.890 O 2.001A manufacturer makes ball bearings that are supposed to have a mean weight of 30 g. A retailer suspects that the mean weight is actually less than 30 g. The mean weight for a random sample of 16 ball bearings is 28.6 g with a standard deviation of 4.4 g. Assume the population standard deviation is not known. How many populations? O2 01 What is the parameter? O Proportion О Мean O Variance O tandard Deviation O Difference between MeansRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman