It is suggested that the mean one-day travel expense by tourists in Moscow is $500 (assume all one-day travel expenses in Moscow are approximately normally distributed).  In a random sample of 16 Moscow tourists, the sample mean one-day travel expense was $482 with a sample standard deviation s = 22.5.  Our goal is to test whether or not the mean one-day travel expense is $500 or not.   Determine the value of the appropriate test statistic to perform this test. Do not round. Note:  the standard deviation of all one-day travel expenses in Moscow is unknown.  This is why  we must use the t-distribution instead of the standard normal distribution.

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 ​adults, how many consume at least 320 mg of caffeine​ daily?

Does the sample size ? affect the standard deviation of all possible samplemeans? Explain your answer.

Fuel efficiency of Prius:  Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is:  (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…