An Internet business prides itself in its ability to fill customer’s orders in six calendar days or less on average. Periodically, the operations manager selects in a random sample of customer orders and determines the number of days required to fill the orders. Based on the sample information, she decides if the desired standard is not being met. She will assume that the average number of days fill customer orders is six or less and less the data suggest strongly otherwise. a) Establish the appropriate null and alternative hypotheses. b) On one occasion where sample of 40 customers were selected, the average number of days was 6.65, with the standard deviation of 1.5 days. Can the operations manager conclude that her Internet business is achieving its goal? Determine your answer using a 90% confidence level. 4) For the United States, the mean monthly Internet bill is $65.72 per household. A sample 50 households in a southern state showed a sample mean of $63.22. Using a standard deviation of $6.72, and a significance level of .05, with a resulting p-value of .005689, are these household significantly smaller than the mean?