Question

The following are the systolic blood pressure readings for a sample of 20 females between the...

The following are the systolic blood pressure readings for a sample of 20 females between the ages of 40 and 80 years:

156 161 145 163 151 161 135 154 151 159 160 147 157 131 141 141 131 126 166 151.

Can we conclude on the basis of these data that the population median is less than 160? Let α = .05 and find the p-value. The nature of the population distribution is completely unknown.

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Answer #1

For testing median, we can use Sign test.

Number of plus sign = 4
Number of minus sign = 15
n = 4 + 15 = 19

p-value = BINOMDIST(4, 19, 0.5, TRUE) = 0.0096
Since the p-value(0.0096) < α(0.05) (one-tailed test), we reject the null hypothesis H0. So we can conclude that the the population median is less than 160 at α = .05 .

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