8. a. For a one-sample problem, suppose that \( n = 20 \), \( \bar{x} = 315.9 \), and \( s = 22.9 \). The p-value for the hypotheses \( H_0: \mu \geq 320 \) versus \( H_A: \mu < 320 \) is:A. \( P(t_{19} \leq -0.80) \) B. \( 2 \times P(t_{19} \leq 0.80) \) C. \( 2 \times P(t_{19} \leq -0.80) \) D. \( 2 \times P(t_{19} \geq 0.80) \) E. \( P(t_{19} \geq -0.80) \) b. For a two-sided t-test, which of the following t-statistics would result in the largest p-value? A. 2.55 B. -2.55 C. 1.43 D. -1.33 E. 3.22 c. For a one-sided t-test with \( H_A: \mu > 10 \), which of the following t-statistics would result in the largest p-value? A. 2.55 B. -2.55 C. 1.43 D. -1.33 E. 3.22

8. a. The sample size 20, sample mean 315.9, and sample standard deviation 22.9. The population mean…

Answered: For a one-sample problem, suppose that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less than 7.0. What conclusion is appropriate in each of the following situations? USE SALT (a) n = 8, t= -2.8, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (b) n = 15, t= -3.5, a = 0.01 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not…
A researcher suspects that the mean birth weights of babies whose mothers did not see a doctor before delivery is less than 3000 grams. The researcher states the hypotheses as H:x = 3000 grams H, x 3000 grams; He:x< 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery. Ho: x < 3000 grams; H,:x = 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery. Ho: = 3000 grams; H # 3000 grams, where = the true mean birth weights of all babies whose mothers did not see a doctor before delivery. Ho: i = 3000 grams; H:< 3000 grams, where = the true mean birth weights of all babies whose mothers did not see a doctor before delivery. O Ho : š == 3000 grams; H. x 3000 grams, where x = the mean birth weights of the sample of babies whose mothers did not see a doctor before delivery.
An SRS of n = 20 observations is collected from a normal population to test H0 ∶ µ = 15 against Ha ∶ µ ≠ 15. If the t-statistic for this test is t = -2.06, which of the following is true? A. 0.01 < P-value < 0.025 B. 0.05 < P-value < 0.25 C. 0.025 < P-value < 0.05 D. 0.25 < P-value E. 0.0 < P-value < 0.01
An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. Unless there is clear evidence that this proportion is less than 0.10, she will reject the shipment. To reach a decision, she will test the hypotheses Ho: p=0.10, Ha p<0.10 To do so, she selects an SRS of 150 potatoes from the more than 3000 potatoes on the truck. Suppose that six of the potatoes sampled are found to have major defects. Which of the following assumptions for inference about a proportion, using a hypothesis test, are violated? O The data are an SRS from the population of interest. O There appear to be no violations. O The population is at least 10 times as large as the sample. n is so large that both npo and n(1-Po) are 10 or more, where po is the proportion with major defects, if the null hypothesis is true.

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