Problem 2 A medical researcher obtains the systolic blood pressure readings (in

Question

Problem 2 A medical researcher obtains the systolic blood pressure readings (in mm Hg) in the accompanying list from a sample of women aged 18-24 who have a new strain of viral infection. (Healthy women in that age group have a mean of 114.8 and a standard deviation of 13.1.) 134.9 78.7 108.9 133.0 123.7 96. 126.9 89.8 32.0 134.7 132. 121.7 2.3 150.2 158.3 154.4 Find the sample mean and standard deviation s. b. Use a 0.05 significance level to test the claim that the sample comes from a population with a mean blood pressure equal to 114.8. Use the sample data to construct a 95% confidence interval for the population mean Do the confidence interval limits contain the value of 114.8, which is the mean for healthy women aged 18-24? Based on the preceding results, does it seem that the new strain of viral infection affects systolic blood pressure? d.

Explanation / Answer

use R code:

systolicbp <- c(134.9,78.7,108.9,133,123.7,96.1,126.9,89.8,132,134.7,132.1,121.7,112.3,150.2,158.3,154.4)
print(systolicbp)
mean(systolicbp)
sd(systolicbp)

mean=124.23

sd=22.52

Solutionb:

t=1.675

p=0.1147

Fail to reject Null hypothesis as p> level of significance

Accept null hypothesis

There is sufficinet evidence at 5% level of significance to claim that the smaple comes form a population with a mean blood pressure equal top 114.8

Solutionc:

95 percent confidence interval is

112.2298 <mu<136.2327

Yes the confidence interval contains population mean of 114.8

Accept Null Hypothesis

Solutiond:

Answer:YES

SOlutiond:

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