USA Today reported that the state with the longest mean life span is Hawaii, where the population mean life span is 77 years. A random sample of 20 obituary notices in the Honolulu Advertiser 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 88 Assuming that life span in Honolulu is normally distributed; does this information indicate that the population mean life span for Honolulu residents is less than 77 years? Use a 5% level of significance. 1) What type of hypothesis test do we run? Ho : H1 : 2) Is this a right, left or two-tailed test? Sketch a curve with the critical value labeled and shade the rejection region. Is the critical value a z or t? Why? 3) Use you calculator to find the calculated value of z or t and the p-value. State these below: 4) Do we reject or not reject the null hypothesis? Write the summary statement.
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Given that we are testing whether the population mean life span for Honolulu residents is less than 77 years based on a sample, we are dealing with a one-sample mean test. Since the population standard deviation is not provided and we are working with a sample, we Show more…
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Sheryl E.
USA Today reported that the state with the longest life span is Hawaii, where the population life span is 77 years. A random sample of 20 obituary notices in the Honolulu Advertiser gave the following information about the life span (in years) of Honolulu residents: 72, 77, 68, 69, 81, 85, 93, 97, 56, 75, 19, 71, 78, 86, 94, 47, 83, 66, 84, 88 Assuming that life span in Honolulu is normally distributed; does this information, indicate that the population mean life span for Honolulu residents is less than 77 years? Use a 5% level of significance. What type of hypothesis test do we run? Is this a right, left tailed, or two tailed test? Sketch a curve and shade the rejection region. Is the critical value a z or a t? Why? What is the value? Find the calculated value of z or t and the p-value.
Sri K.
USA Today reported that the state with the longest mean lifespan is Hawaii, where the population mean lifespan is 77 years. A random sample of 20 obituary notices in the Honolulu Advertiser gave the following information about the lifespan (in years) of Honolulu residents: 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 88 Assuming that the lifespan in Honolulu is normally distributed, does this information indicate that the population mean lifespan for Honolulu residents is less than 77 years? Use a 5% level of significance. 1. Null hypothesis: Ho: μ ≥ 77 2. Alternative hypothesis: H1: μ < 77 3. Test Statistic: t-test Conclusion: Reject the null hypothesis if the test statistic is less than the critical value. 6. Conclusion meaning: If the test statistic is less than the critical value, there is enough evidence to suggest that the population mean lifespan for Honolulu residents is less than 77 years.
Adi S.
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