Need help with stats quiz and assignment

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Mathematics

Fresno Pacific University

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Need help with introductory statistics homework consisting of problems associated with Confidence intervals and hypothesis

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Math 250 Intro to Statistics Class: Week 5 1. Topics a. Basics of hypothesis testing b. Test for proportion p c. Test for mean 2. Text coverage: Chapter 8, sections 2,3,4 3. Assignment a. P. 390 (3,13,17-29 odd) b. P.402 (9-17, odd) c. P. 414 (9-19 odd) NAME: MATH 250-STATS QUIZ 5 근 5 1. You want to compute a 95% confidence interval for a population mean. Assume that the population standard deviation is known to be 10 and the sample size is 50. The value of z* to be used in this calculation is (a) 1.645 (b) 2.009 (c) 1.960 (d).8289 (e).8352 (H) None of the above. The answer is 2. A 95% confidence interval for the mean reading achievement score for a population of third-grade students is (44.2, 54.2). The margin of error of this interval is (a) 95% (b) 5 (c) 2.5 (d) 54.2 (e) The answer cannot be determined from the information given. Bir Refer to the previous problem. The sample mean is (a) 44.2 (b) 54.2 (c) .95 (d) 49.2 (e) The answer cannot be determined from the information given. 4. Using the same set of data, you compute a 95% confidence interval and a 99% confidence interval. Which of the following statements is correct? (a) The intervals have the same width. (b) The 99% interval is wider. (c) The 95% interval is wider. (d) You cannot determine which interval is wider until you know n and s. 5. A significance test was performed to test the null hypothesis Ho: u = 2 versus the alternative Ha: U 2. The test statistic is z = 1.40. The P-value for this test is approximately (a) .16 (6).08 (c) .003 (d).92 (e).70 (f) None of the above. The answer is
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Explanation & Answer

Attached.

(a) P 390 (3, 13, 17-29 odd)
Q.3.
Ans.:
(a) Null hypothesis: Mean body temperature is equal to 98.6 0F.
𝐻𝑜 : 𝜇 = 98.6
(b) Alternative hypothesis: Mean body temperature is different than 98.6 0F.
𝐻𝑎 : 𝜇 ≠ 98.6
(c) The following two conclusions can be made about the null hypothesis: (i) we reject the null
hypothesis (ii) we fail to reject the null hypothesis
(d) No. We can only reject or fail to reject the claim that mean body tempera...


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