Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.The ages of actresses when they won an acting award is summarized by the statistics $ n = 77, \bar{x} = 35.9 $ years, and $ s = 11.9 $ years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.**What are the hypotheses?**- **A.** $ H_0: \mu \neq 33 $ years $ H_1: \mu = 33 $ years - **B.** $ H_0: \mu = 33 $ years $ H_1: \mu \neq 33 $ years - **C.** $ H_0: \mu = 33 $ years $ H_1: \mu \geq 33 $ years - **D.** $ H_0: \mu = 33 $ years $ H_1: \mu < 33 $ years **Identify the test statistic.** $ t = \_\_ $ (Round to three decimal places as needed.)**Identify the P-value.** The P-value is \_\_. (Round to four decimal places as needed.)**State the final conclusion that addresses the original claim. Choose the correct answer below.**- **A.** Fail to reject $ H_0 $. There is insufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.- **B.** Fail to reject $ H_0 $. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33.- **C.** Reject $ H_0 $. There is sufficient evidence to warrant rejection of the claim that the mean age of actresses when they win an acting award is 33 years.*(Click to select your answer(s).)* **Educational Website Transcript:**A simple random sample of 56 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.32 and the sample standard deviation is 0.51. Use a 0.05 significance level and the given calculator display to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group?**Test Details:**- **T-Test** - μ < 5.4 - t = -1.173853298 - p = 0.1227559397 - x̄ = 5.32 - Sx = 0.51 - n = 56**Identify the P-value:**- (Round to four decimal places as needed.)**State the final conclusion that addresses the original claim. Choose the correct answer below:**- **A.** Fail to reject H₀. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.- **B.** Reject H₀. There is not sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.- **C.** Reject H₀. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4.- **D.** Fail to reject H₀. There is sufficient evidence to support the claim that the sample is from a population with a mean less than 5.4. *(Selected)***What do the results suggest about the sample group?**- **A.** There is not enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high.- **B.** There is enough evidence to conclude that the sample is from a population with a mean less than 5.4, so it is unlikely that the population has counts that are too high.- **C.** There is enough evidence to conclude that the sample is from a population with a mean less than 5.4,

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Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=77, x 35.9 years, and s = 11.9 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.

Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=77, x 35.9 years, and s = 11.9 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.

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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