Problem-12 To determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that the average price of the rooms in the sample was $112 with a standard deviation of $16. Use a 0.05 level of significance and determine whether the average room price is significantly different from $108.50. Problem-13 Consider the following hypothesis test, using a= 0.05 Ho: U S 38 Ha : [ > 38 You are given the following information obtained from a random sample of six observations. X 38 40 42 32 46 42 a) Determine the standard error of the mean. b) Compute the value of the test statistic. c) Calculate p-value d) Decide whether to reject the null hypothesis or not Problem-14 Two thousand numbers are selected randomly; 960 were even numbers. At the 0.10 level of significance, determine whether the proportion of odd numbers is significantly different from 50%