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4. The drug Prevnar is a vaccine meant to prevent meningitis. I to infants. In clinical trials, the vaccine was administered to 71 infants between 12 and 15 months of age. Of the 710 infan of appetite. Is this significant evidence to conclude that the proport receive Prevnar and experience a loss of appetite is different proportion of children who experience a loss of appetite with compe Use an a of 0.05. meningitis. It is typically administered dministered to 710 randomly sampled of age. Of the 710 infants, 121 experienced a loss hat the proportion of infants who oss of appetite is different than 0.135 which is the appetite with competing medications? (a) State the null and alternative hypotheses. (b) Calculate the test statistic. (c) Report the p-value. (d) State a conclusion in context of the problem. (e) Calculate a 95% confidence interval for the proportion of infants on Prevnar who experience a loss of appetite. Interpret the confidence interval in context of the problem. f) Does your confidence interval agree with the results of the hypothesis test? Explain.

21% ools Help Window O math1342-dec19.pdf (page 1 of 2) Q Search h) What is your conclusion for the Hypothesis Test, state it very clearly? 2. (25 points) A random sample of data was obtained 13 40 61 5. 6. 40 38 12 27 93 a) How many data items? n = ? b) What is the sample mean? c) What is the sample variance? d) What is the sample standard deviation? e) Based on the number of sample items will you be using a z or at for the mean testing? f) Form a 95% confidence interval for the mean. g) Form a 97% confidence interval for the variance. h) Use Hypothesis Testing (P-Value Method) for the claim that themean is less than 30 at a 96% confidence level. i) What is your conclusion for the Hypothesis Test, state it very clearly? 2. MacBook Air

2. The College Board reported that the mean SAT School students that took the SAT. A students is greater than 540. Het the sample mean score for the on average, do better than the national 100. Does he have evidence that his students, on average, 40 average? reported that the mean SAT score in 2009 was 540 for all US Hish that took the SAT. A teacher believes that the mean score for his greater than 540. He takes a random sample of 50 of his students and mean score for the 25 students is 565 with a sample standard deviation of (a) State the null and alternative hypotheses. (b) The p-value for the above test was 0.1117. State a conclusion in context of the problem. Use a significance level of 0.05. (c) A 95% confidence interval for u is (523.7.606.3). Interpret the confidence interval in context of the problem. (d) Does your confidence interval support the results of the hypothesis test? Explain.

38 PM Mon Jan 13 Done Homework IV Problem I z test.docx Homework III Problem I: Hypothesis Testing with Z-scores A principal at a local school claims that students in her school are above average intelligence. A random sample of thirty students has a mean IQ score s = 120. The mean population IQ is u = 100 with a standard deviation o = 15. Is there sufficient evidence to support the principal's claim? 1. State the null and alternate hypotheses. (3 points) 2. Identify the critical z-value. (3 points) 3. Calculate z for the sample mean. (5 points) 4. State your conclusion for the null hypothesis. (4 points). 5. Calculate a 95% confidence interval for the sample mean (Extra credit - 5 points).

Homework III Problem II: t-test. In the population, the average u is 100. A team of scientists wants to test a new medication to see if it has any impact on intelligence. A sample of 30 participants who have taken the medication has a mean M= 140 with a standard deviations = 20. Using the a = .05 significance level, did the medication affect intelligence? 1. State the null and alternate hypotheses (2 points) 2. Identify the critical t-value. (5 points) 3. Calculate t for the sample mean. (5 points) 4. State your conclusion for the null hypothesis. (3 points) 5. Calculate the 95% confidence interval for the sample mean (extra credit - 5 points)

Employers often use standardized measures to gauge how likely it is that a new employee with little to no experience will suceed in thier company. One such factor is intelligence, measured using the intelligence quotient (IQ). To show that this factor is related to job success, an organizational pychologist measures the IQ score and job performance (i units sold per day) in a sample of 10 new employees IQ Job performance 100 17 115 35 108 24 98 16 120 42 147 55 132 46 85 54 105 25 110 36 (a) convert the following data to ranks and then compute a spearman correlaion coefficient (round your answer to three decimal places) (b) using a two-tailed test at a 0.05 level of significance, state the decision to reject or retain the null hypothesis

Problem 7 A human resources director decided to investigate employee perception of the fairness of two performances evaluation methods. To test for the differences between the two methods, 160 employees were randomly assigned to be evaluated by one of the methods: 78 were assigned to method 1, where individuals provide feedback to supervisory queries as part of the evaluation process; 82 were assigned to method 2, where individuals provide self-assessments of their work performance. Following the evaluations, employees were asked whether they considered the performance evaluation fair or unfair. Of the 78 employees in method I, there were 63 fair ratings. of the 82 employees in method 2, there were 49 fair ratings. Using a 0.05 level of significance, is there evidence of a significant difference between the two methods I the proportion of fair ratings?

The following replicate calcium determinations on a blood sample using atomic absorption spectrophotometry (AAS) and a new colorimetric method were reported. AAS:

10.9; 10.1; 10.6; 11.2; 9.70; 10.0.

New calorimetric method: 9.20; 10.5; 9.70; 11.5; 11.6; 9.30; 10.1; 11.2.

Is there a significant difference in the precision of the two methods at 95% confidence level?

The radius of a circle is 4 miles. What is the angle measure of an arc bounding a sector with area  5​𝜋  square miles?