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Student t Hypothesis Test 03b Assume that a simple random sample has been selected and test the given claim. Claim: The average age of actresses when they win an acting award is at most 34 years old To test this claim a simple random sample (SRS) or 27 actresses is used This sample of 27 actresses had a sample mean of 35.4 years and a standard deviation 11.2 years. Assume the the distribution of actresses ages is approximately normal Select all TRUE statements from those given below. Answer For this hypothesis test, 2. For this hypothesis test the test statistic is t 65 3.For this hypothesis test, the P-value 261 4-O The correct decision is to support (fail to reject) the null hypothesis Ho 5. we decide to support the claim that the average age of actresses when they win an acting award is at most 34 years old

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Mean Hypothesis Test 05b In past years, the average time that it takes for a woman to complete the San Francisco Marathon was 4 62 hours. This year the average time for the 3845 women who finished the SF Marathon was 4.59 hours with a standard deviation of 1.11 hours Can be concluded that this years average time for women to finish the SF Marathon is statistically significantly less than the past years average time? Please select all TRUE statements from those given below Answer 1 Ho: μ =462 and H1 μ#462 2.0 Ho p2462 and H1 μ<462 3-The P-value 047 and we decade to support the calm that this years average time tor women to finish the SF Marathon is statistically less than the past years average time 4 The P-value 047 and we decide to reject the claim that this years average time for women to finish the SF Marathon is statistically less than the past years average time

I've already selected my answer for mean hypothesis test 05b but I'm not sure

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Answer #1

3b)

null hypothesis Alternate Hypothesis 34 34 for 0.05 level with right tailed test and n-1-26 degree of freedom, critical value of t- Decision rule 1.706 reject Ho if test statistic t>1.706 population mean sample mean sample size sample std deviation 34 35.40 27.00 11.200 μ= standard errror of means sx-s/in= 2.155 test statistic p value t 0.65 0.261

from above correct options are: 2 , 3 ; 4 5

05b)

null hypothesis Alternate Hypothesis 4.62 4.62 for 0.05 level with left tailed test and n-1 3844 degree of freedom, critical value of t Decision rule 1.645 reject Ho if test statistic t<-1.645 population mean sample mean sample size sample std deviation 4.62 4.59 3845.00 1.110 μέ s= standard errror of means sx-s/in= 0.018 test statistic p value t 1.68 0.047

from above correct options are: 2 ; 3

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