In a recent survey, the average amount of money students have in their pockets is $5.40 with a standard deviation of $1.20. A teacher feels that the average amount is higher. She surveys 80 randomly selected students and finds the average amount is $5.50. At α = 0.05, test the teacher’s claim that the average amount of money is higher than $5.40. Do you reject or accept the null hypothesis?
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In a recent survey, the average amount of money students have in their pockets is $5.40 with a standard deviation of $1.20. A teacher feels that the average amount is higher. She surveys 80 randomly selected students and finds the average amount is $5.50. At α = 0.05, test the teacher’s claim that the average amount of money is higher than $5.40. Do you reject or accept the null hypothesis?
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- You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 21 Model A washing machines is $215. Assume the population standard deviation is $19. The mean repair cost of 22 Model B washing machines is $221. Assume the population standard deviation is $20. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed.The scores on the Accuplacer test and High School GPAs are normally distributed.The Accuplacer test had a mean of 40 and a standard deviation of 8.High School GPAs had a mean of 3 and a standard deviation of 0.1.What high school GPA do you need to equal a score of 48 on the Accuplacer test?Give answer to two decimal places.A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1539 and the standard deviation was 315. The test scores of four students selected at random are 1940, 1290, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.) The Z-score for 1290 is. (Round to two decimal places as needed.) The Z-score for 2240 is. (Round to two decimal places as needed.) The Z-score for 1420 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. CD (Use a comma to separate answers as needed.) OB. None of the values are unusual.
- A standardized test is given to a sixth-grade class. Historically the mean score has been 151 with a standard deviation of 21. The superintendent believes that the standard deviation of performance may have recently decreased. She randomly sampled 23 students and found a mean of 161 with a standard deviation of 18.2898. Is there evidence that the standard deviation has decreased at the α=0.05 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?A hypothesis test will be conducted and after summarinzing the data, the observed test statistic is z = 1.9. Explain how much evidence we have against the null hypothesis (H0) and for the alternative hypothesis (Ha) in each of the following sets of hypotheses: Explain the reason that the answer differs depending on the chosen alternative hypothesis.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 nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.02 pounds. At a = 0.06, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: H>3.1 Ha: HS3.1 D. Ho: H=3.3 H₂:μ*3.3 OB. Ho: ≤3.3 H:H>3.3 OE. Ho: >3.3 Ha: 53.3 (b) Identify the standardized test statistic. z = (Round to two decimal places as needed.) OC. Ho: * 3.1 Ha: 3.1 OF. Ho: $3.1 H₂:μ>3.1The average price of a sample of 12 bottles of diet salad dressing taken from different stores is $1.43. The standard deviation is $0.09. The average price of a sample of 16 low-calorie frozen desserts is $1.03. The standard deviation is $0.10. At α = 0.05, is the price of salad dressings significantly higher than the price of frozen desserts?A hiring company claims that the variance of the annual salaries for managers is greater in Florida than Georgia. You select a sample of 28 managers in Florida and find the standard deviation to be $11,000. You select a sample of 24 managers in Georgia and find the standard deviation to be $9,200. At α=0.05, can you support the hiring company's claim?You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 24 Model A washing machines is $209. Assume the population standard deviation is $20. The mean repair cost of 27 Model B washing machines is $215. Assume the population standard deviation is $24. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state H0 and Ha. What is the claim? A. The mean repair costs for Model A and Model B are equal. B. The mean repair cost for Model A is greater than Model B. C. The mean repair costs for Model A and Model B are different. D. The mean repair cost for Model A is less than Model B. Let μ1 be the mean repair cost for Model A and let μ2 be the mean repair cost for Model B.…E= Over the years, the mean customer satisfaction rating at a local restaurant has been 65. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 65. In a sample of 32 customers chosen at random, the mean customer rating is 76.2. Assume that the population standard deviation of customer ratings is 22.8. Is there enough evidence to support the claim that the mean customer rating is different from 65? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho Aa OAn educator believes that the average scores on a national statistics examination is greater than 75. 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