1-For the following statement, write down the null hypothesis and alternative hypothesis. Also label which one is the claim. Company X claims that the average salary for entry level employee is $35,000
2-The monthly utility bills are normally distributed with mean value of $160 and standard deviation of $25.
(a) Determine the probability of having a utility bill between 120 and 180.
(b) Determine the probability of having a utility bill less than $120.
(c) Determine the probability of having a utility bill more than $210.
3-A pizza restaurant manager claims that average home delivery time for their pizza is no more than 25 minutes. A random sample of 49 home delivery pizzas was gathered. The sample mean was found to be 26.5 minutes and standard deviation was found to be four minutes. Is there evidence to reject the manager's claim at alpha =.05? Carry out an appropriate hypothesis test, showing the necessary computations and/or describing the process employed to obtain the results.