(i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = yr S = yr (i) Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents less than 74 years? Use a 5% level of significance (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 74 yr; H: µ < 74 yr O Ho: H> 74 yr; H: µ = 74 yr O Ho: H = 74 yr; H;: µ > 74 yr O Ho: H = 74 yr; H,: µ # 74 yr O Ho: H< 74 yr; H;: µ = 74 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution and o is unknown. O The Student's t, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010

Name: A national newspaper reported that the state with the longest mean lif
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Description: A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 74 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span

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 national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 74 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents.
72 68 81 93 56 19 78 94 83 84
77 69 85 97 75 71 86 47 66 27

I need help with (b) and finding the sample test statistic

(i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)
yr
yr
(ii) Assuming that life span in Honolulu is approximately normally distributed, does this information indicate that the population mean life span for Honolulu residents is less than 74 years? Use a 5% level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
О но: и 3D74 уг; H;: и < 74 уг
Ο H0: μ > 74 γr; H: μ = 74 yr
Ο H0: μ- 74 γr; H: μ > 74 yr
Ο Hg: μ 74 yr; H μ 74 yr
О но: и <74 уг; Hi: и 3D 74 уг
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The Student's t, since we assume that x has a normal distribution and o is unknown.
O The Student's t, since we assume that x has a normal distribution and o is known.
O The standard normal, since we assume that x has a normal distribution and o is known.
O The standard normal, since we assume that x has a normal distribution and o is unknown.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Estimate the P-value.
O P-value > 0.250
O 0.100 < P-value < 0.250
O 0.050 < p-value < 0.100
O 0.010 < p-value < 0.050
O p-value < 0.010

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