1 The systolic blood pressures of college students follow a

1. The systolic blood pressures of college students follow a normal distribution. 20 college students are selected randomly and their systolic blood pressures are measured during their final exam week. Their readings are as follows: 139 127 141 124 129 134 144 127 133 79 110 124 126 140 136 141 133 129 123 98

A) A college professor claims that the mean systolic blood pressure of college students can be as high as 133.5 during the final exam week. Does this contradict your findings above? Justify your answer. __________________________________________________________________________________________ __________________________________________________________________________________________

Solution

Sample size = 20

Sample mean = 126.85

Sample std dev s = 15.285

Std error = 15.285/rt 20 = 3.418

H0: Mean = 133.5

Ha: Mean < 133.5

Left tailed test

Mean diff = 6.65

t statistic = 1.95

df = 19

p value .033044.

The result is significant at p < .05.

As p <0.05 reject null hypothesis.