Question 13 The following data (in pounds), which were selected randomly from a

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Question 13 The following data (in pounds), which were selected randomly from a normally distributed population of values, represent measurements of a machine part that is supposed to weigh, on average, 8.3 pounds. 8.1 8.4 8.3 8.2 8.58.6 8.4 8.3 8.4 8.2 8.8 8.2 8.2 8.3 8.18.3 8.4 8.5 8.5 8.7 Appendix A Statistical Tabl Use these data and a = .01 to test the hypothesis that the parts average 8.3 pounds. (Round the sample mean to 2 decimal places. Round the value of s to 2 decimal places. Round your answer to 2 decimal places.) The value of the test statistic is t and we fail to reject the null hypothesis reject the null hypothesis Click if you would like to Show Work for this question: Open Sh:

Explanation / Answer

Using R codes we have the results:

CODE:

x <- c(8.1,8.4,8.3,8.2,8.5,8.6,8.4,8.3,8.4,8.2,8.8,8.2,8.2,8.3,8.1,8.3,8.4,8.5,8.5,8.7)
t.test(x,mu = 8.3,conf.level = 0.99)

OUTPUT:

> x <- c(8.1,8.4,8.3,8.2,8.5,8.6,8.4,8.3,8.4,8.2,8.8,8.2,8.2,8.3,8.1,8.3,8.4,8.5,8.5,8.7)

> t.test(x,mu = 8.3,conf.level = 0.99)

One Sample t-test

data: x

t = 1.6523, df = 19, p-value = 0.1149

alternative hypothesis: true mean is not equal to 8.3

99 percent confidence interval:

8.248798 8.491202

sample estimates:

mean of x

8.37

The value of the test statistic is t = 1.65 and we fail to reject the null hypothesis.

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