Question

The peak oxygen intake per unit of body weight, called the “aerobic capacity,” of an individual performing a strenuous activity is a measure of work capacity. Assume normal distributions. The population standard deviations are given below. For a comparative study, measurements of aerobic capacities are recorded for a group of 20 highland natives from Peru and for a group of 10 from the United States. (3 pts each) ui u2 Peruvians Americans x 46.3 40.5 o 5.0 5.8 n 20 15 At the .05 level of significance, do the sample data indicate a significant difference in the mean aerobic capacity? 1. State the null and alternate hypothesis: نم 2. Name the Test: 3. Determine the P-value: 4. Determine whether to Reject Ho or Fail to Reject Ho , and TELL WHY by relating P-value to a: 5. Interpret the result in a complete sentence with wording related to the problem:

Answer 1

Answer: M Peruvians 46.3 M2 Americans 40.5 5.8 X 5.0 n 20 15 claim: at 0.os Level of significance do the Sample deta indicate a significant diffierence in the mean aerobic Capacity Assuming normal distribution 1 ) null and celternative hypothesis VS Ha:M, Z M2 Hoi Me=42 [2] Test statistic: z - x X₂ "N(0,1) 2 6. + 62² nz 46.3 - 40.5 (5.0)2 + (s.892 Is 5.8 1.87 20 Z = 3.10

3] The P value is PCZ: 3.10 ) = 0.001 (from 2 table 4] conclusion: P value <2=0.05 .', we reject Ho.. 3] . cet oos Significance level, Sample date indicate a significent difference in the aerobic capacity. mean