QUESTION 1 In a survey of 120 publiclyrti'aded companies, the avaage priceearnings ratio was 18.5 with a standard deviation of 8.2. lWhen testing the hypothesis that the average energy use has decreased from the past value of 16.8, the psvalue is 0.0115. Therefore, ifyou were testing the hypothesis [at the [a]% level of signicance] that the average priceieaiiiings ratio has decreased from the past. what is your conclusion concerning the null hypothesis? 0 Reject the null hypothesis 0 Fall no reject the null hypothesis QUESTION 2 Alocal movie theater wants to know how much popcorn they should stock for a given movie showing. Records from 112 movies reveal a mean of 50.8 boxes and a standard deviation of 17.0. Calculate the LOWER bound of the 94 percent confidence interval for the population mean. (please express your answer using 2 decimal places) QUESTION 3 Suppose a company in the US is buying some parts ow a supplier in Japan. The US rm has to pay for the parts next month Suppose they believe the value ofthe YenDollar exchange rate in 1 month is given by the following probability distribution: the believe there is a probability of 0.11 that $1 will exchange for 85 Yen. there is a probability of 0.23 that $1 will exchange for 90 Yen, there is a probability of0.32 that $1 will exchange for 95 Yen. and with the remaining probability that $1 Will exchange for 100 Yen. What is the expected value of the number of Yen that $1 will exchange for? {please express your answer using 2 decimal places) QUESTION 4 The return ofthe an investment is normally distributed With a mean of 13% and a standard deviation of 6%. What is the probability the investment has at least a 15% return? (please round your answer to 4 decimal places QUESTION 5 There were many car accidents following the snow in Little Rock on Jan. 6. An insurance company who offers automobile insurance had the following number of claims for the following amounts: 20 claims of $500. 14 claims of $1200. 9 claims of $1800, 4- claims of $2500 and 4- claim of $3300. What was the average claim size? (please round your answer to 1 decimal place)