car company says that the mean gas mileage for its luxury sedan is at leasr 25 miles per gallon (mpg). You believe the claim is incorrect and find taht a random sample of 8 cars has a mean gas mileage of 24 mog and a standard deviation of 3 mpg. At a =0.10, test the company's claim. Assume thr population is normally distributed. i) which sampling distribution should be used and why? ii) State the appropriate hypotheses test. iii) What is the value of the standardized test statistic?

One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second. This is called forced expiratory volume in one second, and is abbreviated FEV,. Assume the mean FEV, for 10-year-old boys is 2.1 liters that the population standard deviation is o =0.2. A random sample of 53 10-year-old boys live in a community with high levels of ozone pollution are found to have a sample mean FEV, of 2.09 liters. Can you conclude that the mean FEV, in the high-pollution community differs from 2.1 liters? (A) Yes (B) No

The average labor charge for automobile mechanics is OMR 69 per hour. The standard deviation is OMR 18. Find the minimum percentage of data values that will fall within the range of OMR 68 to OMR 80. Use Chebyshev's theorem. SHOW ALL THE WORKINGS, FORMULA etc.

Medication used to treat a certain condition is aministered by syringe.  The target dose ina particular application is 10 milligrams.  Because of the variations in the syringe, in reading the scale, and in mixing the fluid suspension, the actual dose administered is normally distrubuted with a mean of 10 milligreams and a standard deviation of 1.6 milligrams.  What is the probablility of that the dose administered is between 9 and 11.5 milligrams? Find the 98th percentile of the adninisterd dose.  If clinical overdose is defined as a dose larger that 15  milligrams, what is the probablility that a patient will receive an overdose.