Length of a type of component follows Normal distribution. A sample of 25 compon

Question

Length of a type of component follows Normal distribution. A sample of 25 components was collected. The sample mean length was computed to be 14 inches and the sample standard deviation is 1.5 inches. Construct a 95% interval that predict the length of a component that will be sampled from this population of components. Follow the procedure below. (i) Construct the interval (ii) Interpret the interval A random sample of 110 WKU undergraduate students reveals that 25% of students plan to go to graduate school. Construct a 90% confidence interval for the proportion of WKU undergraduate students who plan to go to graduate school. Follow the procedure outlined below. i) Determine the parameter of interest (in symbol and in words) ii) Check assumptions and determine the appropriate confidence interval to use iii) Construct the interval iv) Interpret the interval

Explanation / Answer

Mean is 14 and standard deviation is 1.5

We know that n is 25

For 95% confidence , z value is 1.96

A. Thus the confidence interval is given by 14-1.96*1.5/sqrt(25)=14.412 and 14+1.96*1.5/sqrt(25)=14.588

B. This implies that we can be 95% confident that the true mean lies in the above confidence interval

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