Question 30 (SLO)  Please type the answer to this question in the space provided. Make sure you answer each question. A local car dealer advertises that all their cars cost on average $30,000.  You, as a responsible consumer and inquisitive individual, decide to test their claim.  You reviewed 40 car sales from a recent week and found the mean cost was $31,000 and had a standard deviation of $4000.  1.   Write the claim, the null and alternative hypothesis proposed by the car dealer in symbolic form.  You can copy and paste the symbols below for writing the claim in symbolic form.            

Find the indicated probability.A company finds that an average of 20% of all new employees resign during the first year. Find the probability that among the next 14 employees hired, exactly three resign during the first year.

Compute the test statistic used to test the null hypothesis.A sample 400 people were asked if they were satisfied with their jobs. 47% of those in the sample said they were satisfied with their jobs.Ho: p = 0.42, H1: p > 0.42. Significance level α = 0.02

Determine which score corresponds to the higher relative position.Which score has a better relative position, a score of 34.4 on a test for which = 28 and s = 8, or a score of 262.8 on a test for which = 238 and s = 31?

Question 29 (SLO)  Please type the answer to this question in the space provided. Make sure you answer each question.   The following sample of bivariate (x, y) data concerning the speed of a car (in miles per hour; MPH) and the corresponding fuel economy (in miles per gallon; MPG).  Use this data to answer the following: Speed (MPH) 30 40 50 60 70 Fuel Economy (MPG) 31 31 33 32 27   1.   Calculate the correlation coefficient (r) and the line of best fit (y) for the given data set. 2.    What is the best predicted fuel economy (MPG) for the given speed of 55 miles per hour? Show all work to receive credit and provide your reasoning.    

Solve the problem.In a game, you have a probability of winning and a probability of losing What is your expected value?

Solve the problem.Scores on a test are normally distributed with a mean of 63.9 and a standard deviation of 10.9. Find the value of x that occurs at the 81st percentile, P81.

Solve the problem.Scores on a test are normally distributed with a mean of 63.9 and a standard deviation of 10.9. Find the value of x that occurs at the 81st percentile, P81.

Solve the problem.The boxplots below show the amount of weight loss during the first month of a diet program for both males and females. Compare the results and determine whether there appears to be a significant difference between the two genders. Note that the scale units represent one pound.

Identify the null hypothesis H0 and the alternative hypothesis H1. Use μ for a claim about a mean, p for a claim about a proportion, and σ for a claim about variation.A skeptical paranormal researcher claims that the proportion of Americans who say they have seen a UFO is less than 5 in every one thousand. claim: p __________