Construct the null and alternative hypotheses for the following claims. a. "The school's mean GPA differs from 2.50 GPA." b. "The school's mean GPA is less than 2.50 GPA."
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Construct the null and alternative hypotheses for the following claims. a. "The school's
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- A baseball team claims that the mean length of its games is 1.6 hours. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. A. The null hypothesis expressed in words is, "the mean length of a baseball team's games is 1.6 hours." The null hypothesis is expressed symbolically as, "H0: μ=1.6." B. The null hypothesis expressed in words is, "the mean length of a baseball team's games is more than 1.6 hours." The null hypothesis is expressed symbolically as, "H0: μ≠1.6." C. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at most 1.6 hours." The null hypothesis is expressed symbolically as, "H0: μ≤1.6." D. The null hypothesis expressed in words is, "the mean length of a baseball team's games is…2. Suppose a 95% CI for the proportion of adults that regularly attend a tae kwon do class at least once a week was found to be (0.2534, 0.3894). decision a. For the null and alternative hypothesis: Ho: p = 0.40 versus Ha: p # 0.40, what is for this test of hypothesis? your b. Based on the CI, which of the following statements gives the best conclusion about the true value of the proportion of adults that regularly attend a tae kwon do class at least once a week? i. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is greater than 40%. ii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is different than 40% iii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is less than 40% iv. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week equals…As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean. The sample data support the claim that the first population mean is greater than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
- You wish to test the following claim (H) at a significance level of a = 0.10. Ho: 1 = 2 Ha: 1 > 2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 13 with a mean of ₁ = 60.2 and a standard deviation of SD₁ = 11.2 from the first population. You obtain a sample of size n₂ = 25 with a mean of 2 = 50.9 and a standard deviation of SD2 = 9.5 from the second population. 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.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the nullAn IO psychologist believes that layoffs in at a plant may have increased stress felt by the people who retained their positions. He measures 7 employees before and after the layoffs. The results are below. Use ?=.052????α=.052tail to evaluate the statistics. a. What design was used? b. State the hypotheses in words and symbols c. Show how t was calculated & evaluate the statistica. Identify the null and alternative hypotheses. b. Identify the test statistic. c. Identify the P-value.
- a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that…1. Which of the following would be an appropriate null hypothesis? A. The mean of a population is equal to 55. B. The mean of a sample is equal to 55. C. The mean of a population is greater than 55. D. Only A and C are true.Consumers Energy states that the average electric bill across the state is $51.28. You want to test the claim that the average bill amount is actually different from $51.28. What are the appropriate hypotheses for this test?
- 2.2.25 According to a Pew Research Center report from 2012, the average commute time to work in California is 27.5 minutes. To investigate whether a different average is true for the small city that she lives in, a California high school student surveys 45 people she knows-her teachers, her parents and their friends and co-workers-and finds the average commute time for this sample to be 24.33 minutes, with a standard deviation of 9.53 minutes.A. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative and hypotheses? B. What is the test statistic? (Round to two decimal places as needed.) C. What is the P-value? (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.D. Reject the null hypothesis. There is not sufficient evidence to support…For the following identify and justify the approach you would use. Be sure to include the appropriate null and alternate hypothesis for the test. Consider all tests evaluated this term. You do not have to do the computation and provide an answer but you do have to provide the exact test and a justification. a. The number of chirps per minute emitted by crickets was measured at several temperatures. The mean number of chirps from three crickets is provided below. Is the number of chirps related to temperature? How would you describe that relationship mathematically? Identify the independent and dependent variables and the approach you would use with regards to statistical analysis. Temp (◦C) 20 22 24 25 27 29 30 Chirps (chirps/min) 112 118 140 155 160 179 199 b. A poker-dealing machine is supposed to deal cards at random, as if from an infinite deck. In a test, you counted 1600 cards, and observed the following: Spades 404 Hearts 420 Diamonds 400 Clubs 376 Could it be that the suits are…
