According to the records of a soft drink company, the bottles for their one-liter-sized products contain an average (mean) of 1.02 liters of beverage, with a standard deviation of 0.13 liters. As part of routine quality assurance, a sample of 60 bottles has been taken. The sample mean amount of beverage in these 60 bottles was 0.982 liters.Assuming the company's records are correct, find the probability of observing a sample mean of 0.982 liters or less in a sample of 60 bottles.Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

The Quality Assurance Department for Cola, Inc., maintains records regarding the amount of cola in its Jumbo bottle. The actual amount of cola in each bottle is critical, but varies a small amount from one bottle to the next. Cola, Inc., does not wish to underfill the bottles. On the other hand, it cannot overfill each bottle. Its records indicate that the amount of cola follows the normal probability distribution. The mean amount per bottle is 31.2 ounces and the population standard deviation is 0.4 ounces. At 8 A.M. today the quality technician randomly selected 16 bottles from the filling line. The mean amount of cola contained in the bottles is 31.38 ounces.i. Is this an unlikely result?ii. Is it likely the process is putting too much soda in the bottles?iii. To put it another way, is the sampling error of 0.18 ounces unusual?Answer the question as business strategic sampling chapter

The volume of beverage in a 12-ounces can is normally distributed with mean 12.07 ounces and standard deviation 0.03 ounces.(a) What is the probability that a randomly selected can will contain more than 12.09 ounces?(b) What is the probability that a randomly selected can will contain between 12 and 12.05 ounces?(c) Is it unusual for a can to be under filled (contain less than 12 ounces)?

The restaurant manager is testing the bartender's ability to pour 45 mL of spirits correctly into a mixed drink. The manager has the bartender pour water into 12 shot glasses to test their ability to pour the correct amount of spirits: 48 45 44 43 46 47 42 46 47 45 47 49 Note: The data appears to be approximately normally distributed. Test the bartender's ability to pour 45 mL at the 5% level of significance. T-Distribution Table a. Calculate the sample mean and standard deviation. x̄ = 45.750 Round to three decimal places if necessary s= 0.000 Round to three decimal places if necessary b. Calculate the test statistic. t= 0.000 Round to three decimal places if necessary

The annual per capita consumption of bottled water was 34.8 gallons.Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 34.8 and a standard deviation of 12 gallons. a.What is the probability that someone consumed more than 35 gallons of bottled water? b.What is the probability that someone consumed between 20 and 30 gallons of bottled water? c.What is the probability that someone consumed less than 20 gallons of bottled water? d.90%of people consumed less than how many gallons of bottled water?Round to four decimal places as​ needed.)

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages,the mean amount dispensed is 8.168 ounces,with a sample standard deviation of 0.051 ounce.Complete parts(a)and(b). Click here to view page 1 of the critical values for the t Distribution. The critical​ value(s) is(are) ​(Round to four decimal places as needed.