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- 1) Your instructor tells you that past average scores for the final exam are 75%. But this semester he has been using online quizzes to help your class better prepare for the final. Your class scored the following on the final exam: mean= 80% with a 10% standard deviation. There are 49 people in your class. Using a one-sample t test, what is your t score for this class? Assuming α = .05, did the online quizzes help your class perform better?2. Suppose that a random variable X follows a normal distribution with unknown mean u but a known standard deviation of 30. We're interested in testing: Ho: = 75 versus Ha: < 75. Using a = 0.01, find the sample size n necessary to achieve the power of the test to be 0.90 when the value of the mean is 65 under the alternative hypothesis.22.
- 5. The variance on 17 bags of apples is found to be 5.5. The company that bags the apples claims that the standard deviation of its apples is 2. Test their claim. Use a = 0.05You wish to test the claim that the average IQ score is less than 100 at the .10 significance level. You determine the hypotheses are: Ho: μ=100Ho: μ=100 H1:μ<100H1:μ<100 You take a simple random sample of 73 individuals and find the mean IQ score is 95.2, with a standard deviation of 15.1. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal places where appropriate. Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t = Test Statistic: z = Critical Value: t = Critical Value: z = p-value: p-value: Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ…18. The average salary in this city is $46,400. Is the average more for single people? 54 randomly selected single people who were surveyed had an average salary of $48,011 and a standard deviation of $16,440. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0: 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 α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly greater than 46,400 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean salary for singles is greater than 46,400. The data suggest that the sample mean is not significantly greater than 46,400 at αα = 0.05, so there is statistically…
- 8. A sample of difference scores from a repeated- experiment has a mean of M, = 4 with 6. %3D measures a standard deviation of s a. If n = 4, is this sample sufficient to reject the null hypothesis using a two-tailed test with a = b. Would you reject H if n = 16? Again, assume a two-tailed test with a 05. = .05? 1 c. Explain how the size of thhe sample influences the likelihood of finding a significant mean difference. 9 When vou cet o curni ויייויוייייוויויי'ןייןויוייוייויו ןויוייייויוייויויויןייSuppose you have the following null and alternative hypotheses: H0: μ = 81 and H1: μ ≠ 81.You collect a sample of data from a population that is normally distributed . The sample size is 19, the sample mean is 84.9, and the population standard deviation is 5.7. What is your p-value and conclusion? Test at a level of significance of 0.01. Group of answer choices 0.0080, Do Not Reject 0.0029, Reject 0.0014, Reject 0.0080, Reject 0.0029, Do Not Reject 0.0064, Reject