Razzle Ice Cream is an ice cream shop chain that has locations all across the nation. Customers at Razzle Ice Cream have the option of ordering 1, 2, or 3 scoops of ice cream in their cone. The mean number of scoops ordered is μ=1.13, with a standard deviation of σ=0.59. Suppose that we will take a random sample of n=8 ice cream cone orders and record the number of scoops for each. Let x̅ represent the sample mean of the number of scoops for the 8 ice cream cone orders. Consider the sampling distribution of the sample mean x̅. Find the standard deviation of the sampling distribution of the sample mean (σₓ).

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.

A report announced that the median sales price of new houses sold one year was $231,000,and the mean sales price was $271,600.Assume that the standard deviation of the prices is $90,000. Complete parts (a)through(d)below. If you select a random sample of n=100,what is the probability that the sample mean will be between $275,000 and $285,000? The probability that the sample mean will be be between $275,000 and $28,000 is. (Round to four decimal places as needed.

A large airline company called Cloudscape Co. monitors customer satisfaction by asking customers to rate their experience as a 1, 2, 3, 4, or 5, where a rating of 1 means "very poor" and 5 means "very good". The customers' ratings have a population mean of =μ4.60, with a population standard deviation of =σ1.94. Suppose that we will take a random sample of =n10 customers' ratings. Let x represent the sample mean of the 10 customers' ratings. Consider the sampling distribution of the sample mean x.Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.(a)Find μx (the mean of the sampling distribution of the sample mean).=μx (b)Find σx (the standard deviation of the sampling distribution of the sample mean).=σx

5.  Suppose the random variable X𝑋 is normally distributed with μ=18𝜇=18 and σ2=64𝜎2=64 . If the sample size is equal to 20, what is the sampling distribution of the sample mean, X¯𝑋¯ ?Multiple choice 3 Question 3  N(20,1.79)𝑁(20,1.79)   N(18,3.2)𝑁(18,3.2)   N(18,1.79)𝑁(18,1.79)   N(18,64)𝑁(18,64)

A report announced that the median sales price of new houses sold one year was $231,000,and the mean sales price was $271,600.Assume that the standard deviation of the prices is $90,000. Complete parts(a)through(d)below. ·○ (a) If you select samples of n=2,describe the shape of the sampling distribution of X. Choose the correct answer below. OA.The sampling distribution will be approximately uniform. O B.The sampling distribution is skewed to the right,but less skewed to the right than the population. OC.The sampling distribution will be approximately normal. OD.The sampling distribution will depend on the specific sample and will not have a constant shape.