A car dealer recommends that transmissions be serviced at 30,000 miles. To see whether her customers are adhering to this recommen- dation, the dealer selects a sample of 40 customers and finds that the average mileage of the automobiles serviced is 30,456. The standard deviation of the population is 1684 miles. By finding the P-value, determine whether the owners are having their transmissions serviced at 30,000 miles. Use a ? 0.10. Do you think the a value of 0.10 is an appropriate significance level? Please show how to solve using the necessary formulas. Thanks!

In the 1992 presidential election, Alaska's 40 election districts averaged 1980 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.PLEASE ANSWER C, D AND E AND ROUND TO THE 4 DECIMALc. Find the probability that a randomly selected district had fewer than 2062 votes for President Clinton. d. Find the probability that a randomly selected district had between 2052 and 2347 votes for President Clinton. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.

Calculate the standard deviation for the following set of scores: 18, 22, 26, 22, 34, 7, 18.  (Use n-1 as the denominator in your calculations.)  The standard deviation for this data is: Group of answer choices

You have a sample of 48 randomly selected Vancouverites. On average (the sample mean), the people in your sample spent 425 hours eating food in 2020. The least time a person in the sample spent eating food in 2020 is 367 hours and the most time a person in the sample spent eating food in 2020 is 484 hours. What would be your best guess about the population standard deviation of the time a Vancouverite spent eating food in 2020? Give the number and explain (including assumptions you make about the population distribution).

Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

The tourist bureau of the Caribbean Island survey a sample of 6 United States tourists as they left to return home. The tourist was asked how many days they spent on their visits. Their responses were as follows: 11,8,6,12,10,7 find the standard deviation of this sample of numbers.

Find the value of the standardized test statistic.

The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.