Q1)A salad dressing machine is working properly when 8 ounces of salad are dispensedinto a bottle. The standard deviation of the process is 0.15 ounce. A sample of 50 bottlesis selected periodically and the filling is stopped if there is evidence that the meanamount dispensed is different from 8 ounces. Suppose that the mean amount dispensedin a sample of 50 bottles is 7.983 ounces.(a) Is there evidence that the average amount is different from 8 ounces?Test the hypothesis at 10% level of significance.(b) Find out the p-value for (a). Does it lead to the same conclusion in (a)?

We have to perform the Z test for the mean.

Answered: Q1) A salad dressing machine is working…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A mechanical device has a wear out time that is normally distributed with a mean of 1100 hours and a standard deviation of 50 hours. Find the percentage of devices that will have a wear out time of between 1000 hours and 1075 hours.
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Suppose that a recent article stated the mean time spent in jail by a first-time convicted burglar is 2.7 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3.01 with a standard deviation of 1.78 years. Assume that the distribution of jail times is approximately normal. Test the claim at the level of significance 0.1. Select one: a) t_stat = 0.9 and t_cr = 1.31 : The mean time increased significantly in the new century b) t_stat = 0.9 and t_cr = 1.31 : The mean time didn’t increase in the new century c) t_stat = 0.99 and t_cr = 1.71 : The mean time didn’t increase in the new century d) t_stat = 0.99 and t_cr = 1.71 : The mean time increased significantly in the new century
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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A random sample of 100 observations from a quantitative population produced a sample mean of 28.0 and a sample standard deviation of 6.5. Use the p-value approach to determine whether the population mean is different from 31.
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