Phil wishes to compare the weights of professional athletes tothe weights of non-professional athletes. Phil completes a simplerandom sample of professional athletes and records his results inpounds:
125 147 240 186 156 205 248 152 199 207 176
Phil also completes a simple random sample of non-professionalathletes and records his results in pounds:
151 161 139 128 149 160 201 173
The samples are independent and come from normally distributedpopulations. Use the p-value method and a 2% significance level totest the claim that the mean weights of professional andnon-professional athletes are the same.
1) What population parameter is being tested? (mean, proportionetc)
2) How many populations are being tested?
3) Calculate the sample mean weight of professional athletes (roundto the nearest ten-thousandth).
4) What is the claim? (At this point, you should have alreadyselected the formula that will be used to calculate the teststatistic and written it in the test statistic box.) What is thealternative hypothesis?
5) What is the test statistic (rounded to the nearestthousandth)?
6) The critical region is best described as (right/left/2)
7) What is the largest lower bound of the p-value from thetable (rounded to the nearest hundredth) or the value of thep-value found using technology (rounded to the nearestten-thousandth?)
8) What is the significance level (expressed as a decimal)?
9) What is the statistical conclusion?
