Consider the following hypothesis Approximate the pvalue for

Consider the following hypothesis: Approximate the p-value for this test based on the following sample information. Use table

Solution

test statistic = X-bar - mean/(s/sqrt(n))

a)

test statistic = 66 - 70/10.9/sqrt(19)

= -1.60

Two tailed p-value P( |Z| > 1.60) = 0.1096

hence correct choice is 1st option

b)

test statistic = 74 - 70/10.9/sqrt(19)

= 1.60

Two tailed p-value P( |Z| > 1.60) = 0.1096

hence correct choice is 1st option

c)

test statistic = 64 - 70/10/sqrt(14)

= -2.25

Two tailed p-value P( |Z| > 2.25) = 0.0244

hence correct choice is 2nd option

d)

test statistic = 67 - 70/10/sqrt(32)

= -1.697

Two tailed p-value P( |Z| > 1.697) = 0.0897

hence correct choice is 1st option