Q3: An engineering research center claims that through the use of a new computer control system, automobiles should achieve, on average, an additional 3 miles per gallon of gas. A random sample of 10 automobiles was used to evaluate this product. The sample mean increase in miles per gallon achieved was 2.4, and the sample standard deviation was 1.8 miles per gallon. Test the hypothesis that the population mean is at most 3 miles per gallon.

It has been estimated that the 1991 G-car obtains a mean of 35 miles per gallon on the highway, and the company that manufactures the car claims that it exceeds the estimate in highway driving. To support its assertion, the company randomly selects 49 1991 G-cars and records the mileage obtained for each car over a driving course similar to that used to obtain the estimate. The following data resulted: x = 36.5 miles per gallon, s = 7 miles per gallon. %3D a. Find the observed significance level for testing Ho: u= 35 vs. Ha: u> 35. %3D b. For what value of significance level a, you will reject the null hypothesis.

A study was conducted for an aviation safety agency in which they surveyed thousands of passengers at airports across Europe. In this study, the "mass" for a passenger includes the weight of the passenger and all of the passenger's carry-on items, including infants without their own seats. For the 5,904 adult male passengers measured in summer, the sample mean and standard deviation for this mass were 88.8 kg and 15.9 kg, respectively.   (a) Construct a 95% confidence interval (in kilograms) for the population mean mass for adult male passengers in summer. (Round your answers to three decimal places.) ___to__ kg (b) Write a sentence or two interpreting the confidence interval you found in part (a). With 95% confidence, we can estimate that the population mean mass of male passengers traveling in the summer is contained within the interval. We can estimate that 95% of the male passengers traveling in the summer in the sample have a mass that is contained within the interval.…

To determine if their 1.33 centimeter galvanized pipes are properly adjusted, Fogarty Manufacturing has decided to use an X-Chart which uses the range to estimate the variability in the sample. Answer Table Step 4 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 1.4, 1.42, 1.38, 1.37, 1.4 Sample Mean: 1.394 Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Control Chart Copy Table Average Values The average of the selected cell(s) is 1.340. Copy Value obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range 1.34 1.29 1.35 1.33 1.35 1.3320 1.35 1.35 1.29 1.38 1.28 1.3300 1.34 1.35 1.32 1.33 1.34 1.3360 1.36 1.29 1.37 1.35 1.30 1.3340 1.29 1.31 1.33 1.32 1.38 1.3260 1.31 1.32 1.31 1.31 1.3180 1.34 1.33 1.3300 1.38 1.31 1.29 1.34 1.35 1.33 1.30 1.35 1.32 1.3300 1.34 1.37. 1.28 1.36 1.3440 1.37 1.30 1.3080 1.37 1.29 1.30 1.28 1.35 1.36 1.32 1.31 1.32 1.29 1.36 1.38 1.3400 1.3280 1.30 1.35 1.32 1.32 1.29…