Question

tQuestion 12 0/1 pts Q38 When engaging in weight control (itness/fat burning) types of exercise, a 20-year old is expected to attain a heart rate of approximately 120 bpm. A simple random sample of 100 20-year-olds was taken, and the sample mean was found to be 107 bpm with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. To determine this, we test the following hypotheses: Ho: ?- 120, Ha: ? < 120 The P-value for the one-sample t test is between 0.05 and 0.01. larger than 0.10 below O.01

Answer 1

Test: μ 〈 120 with t dist" Hypothesis test: Ho : μ-120 Ha : μ < 120 (Null Hypothesis, Ho : μ > 120 is also correct) (Alternative Hypothesis, also called Hi) This is lower tailed test. 107 s 45 n 100 Degrees of freedom df-n-1-99 i-μ 107-120 Test statistic, tobserved 45/V100 Test statistic _-2.889 Using t-table, we can observe that the p-value is between 0.001 and 0.005 Using excel we find p-value = P(t <-2.889) = tdist(-2.889, 99.1 ) = - ~ 一2.889 = 45/ 0.0023747751 (p-value 0.0024 below 0.01 oThank youes