MATLAB: An Introduction with Applications
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The standard deviation for a certain professor's commute time is believed to be 45 seconds. The professor takes a random sample of 25 days. These days have an average commute time of 13.4 minutes and a standard deviation of 54 seconds. Assume the commute times are
Calculate the value of the test statistic.
What is the corresponding P-value for the test statistic?
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- The average life of light bulbs produced by SABA Electric Co. is expected to be normally distributed with the mean service life of 950 hours and standard deviation of 100 hours. A consumer agency tests a random sample of 100 bulbs and finds mean service life of 910 hours. If the agency conducts hypothesis testing, what would be the computed p-value for the test? 4 10 0% 3.49 none of the above.arrow_forwardTraffic Highway planners investigated the relationshipbetween traffic Density (number of automobiles per mile)and the average Speed of the traffic on a moderately largecity thoroughfare. The data were collected at the samelocation at 10 different times over a span of 3 months.They found a mean traffic Density of 68.6 cars per mile(cpm) with standard deviation of 27.07 cpm. Overall, the cars’ average Speed was 26.38 mph, with standard devia-tion of 9.68 mph. These researchers found the regression line for these data to be Speed = 50.55 - 0.352 Density.a) What is the value of the correlation coefficientbetween Speed and Density?b) What percent of the variation in average Speed isexplained by traffic Density? c) Predict the average Speed of traffic on the thorough-fare when the traffic Density is 50 cpm. d) What is the value of the residual for a traffic Densityof 56 cpm with an observed Speed of 32.5 mph?e) The data set initially included the point Density =125 cpm, Speed = 55 mph. This…arrow_forwardA population mean is 13. The sample mean is 12.8, and the sample standard deviation is 2. The sample size is 20. What standard error would you use to conduct a hypothesis test on the mean?arrow_forward
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