Question

?

Consider the hypotheses below. Ho: μ 260 Given that x- 58.1, s12.7, n 35, and a 0.05, complete parts a and b below. a) What conclusion should be drawn? Determine the critical value(s) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)

b) Use technology to determine the? p-value for this test.

Answer 1

Test: μ 〈 60 with t dist" Hypothesis test Ha : μ < 60 This is lower tailed test (Null Hypothesis, Ho : μ > 60 is also correct) (Alternative Hypothesis, also called H1) 58.1 12.7 Significance Level, a = 0.05 Degrees of freedom df-n-1 34 ī_μ 58.1-60 Test statistic, tobserued ะ-0.885 Test statistic-0.885 tcritical-tadfto.o5,df-341.691 (from t-table, one-tailed, d.f. - 34 ) Critical Value =-1.691 Rejection criteria: Rejection region is in direction of Alternative hypothesis, since Ha : μ < 60, rejection rule is: Reject Ho if test statistic, to <-1.691 Rejection region has been shaded

0.05 1.691 al e Decision: Since-0.891.691, we fail to reject the nll hypothesis. Hence at 5% significance level, there is insufficient evidence to conclude that μ is less than 60 Using t-table, we can observe that the p-value is between 0.15 and 0.20 Using excel we find p-value = P(t <-0.885) = tdist(-0.885, 34,1 )- 0.1911644143 p-value 0.1912 Thank youDe