For years, the restaurant Tokos’ Tacos had outdoor service a…

For years, the restaurant Tokos’ Tacos had outdoor service at picnic tables.  During that time, the average tip left by customers was $3.20.  Last year, the restaurant expanded and also had indoor seating.  The shop owner collected a sample of 55 bills from last year. The mean tip amount from this new sample was $3.72 with a standard deviation of $2.84. Using a 10% significance level, perform a hypothesis test to see if the mean tip amount increased after the restaurant expanded. a) On your scrap paper, write the hypotheses using appropriate notation. b) Calculate the test statistic, using the formula.  (Type it in the answer box, but show all work on scrap paper.) c)  Find the p-value using StatKey.  (Type it in the answer box.) d)  Write out the conclusion in the context of the problem.  (Type it in the answer box.)

Use this set-up for Problems 48-52: As of April 5, 2021, the…

Use this set-up for Problems 48-52: As of April 5, 2021, the average cost of a wedding in Missouri was determined to be $20,058 (according to valuepenguin.com). Suppose the population standard deviation of wedding costs is $7,500. To determine if the average cost of a wedding in Illinois is more than Missouri, you decide to take a sample of 36 weddings and perform a hypothesis test. Suppose your simple random sample had an average cost of $22,333. You decide to use a significance level of 0.05.What hypotheses would be used to determine if the average cost of a wedding in Illinois is more than the average in Missouri?