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Run Me a Hypothesis Test Worksheet
Activity 1:
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.
What type of hypothesis test do we run?Ho : Ha :
Is this a right, left or two-tailed test? Sketch a curve and shade the rejection region.
Is the critical vale a z or t? Why? What is the value?
Use you calculator to find the calculated value of z or t and the P Value. State these below:
Do we reject or not reject the null hypothesis? Is the difference statistically significant? Why or why not? Include in your discussion the calculated value of z or t and the P Value.
Activity 2:
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Use a 1% level of significance.
What type of hypothesis test do we run?Ho : Ha :
Is this a right, left or two-tailed test? Sketch a curve and shade the rejection region.
Is the critical vale a z or t? Why? What is the value?
Use you calculator to find the calculated value of z or t and the P Value. State these below:
Do we reject or not reject the null hypothesis? Is the difference statistically significant? Why or why not? Include in your discussion the calculated value of z or t and the P Value.
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