20. 21. 22, 23. 24. 25. A report by a restaurant reviewer claims that serving staff at all casual dining restaurants in New Jersey receive at least 5100 in tips with a standard deviation of 215, Colleen who worls as a server in a casual dining restaurant in New Jersey believes this claim is wrong. She records her tips over a 30-day period and finds that they average $93. Using a 1% significance level, test the claim. It is claimed that the average annual per person spending on all prescription drugs is 3410 with a standard deviation of $45. A survey of 64 randomly selected individuals found that average annual per person spending was $425. Using a 5% significance level test this claim. A nzed car dealer says that the mean price of all 2000 Toyota Camry in Atlanta iz at least 516,200, To test this claim you search the Internet and get the prices of a random sample of 14 of these cars available in Atlanta. The mean price of these cars is $15,999 with a standard deviation of $1.057. I= there enough evidence to reject the dealer's claim at the 5% significance level? Assume the population is normal. The help line at Wiley Publishers claims that the mean wait time to be connected iz 6.8 minutes. You randomly select a sample of 19 eallers and caleulate their mean wait times to be 6.7 minutes with a standard deviation of 1.24 minmtes. Is there enough evidence to reject the claim at a 5% significance level? Assume the population is normally distributed. For questions 24 and 25, answer the following questions. (a) State the Null and Alternate Hypotheses, (b} Which is the claim? (c) Will vou use a z-test, t-test or chi-square test? What is the critical value? (d) Describe the reject region as left-tailed, right-tailed or two-tailed. {e) Find the sample statistic. (f) Do vou reject the claim? Write out your decision in at least one sentence. The Healthy Food Company makes an oatimeal and almond cereal. It has three competitors who make a similar product. The company wants to investigate if the percentage of people who consume oatmeal and almond cereal is the same for each of the four brands. Let A represent the Healthy Food Company's and B, C and D represent the 3 competitors. A sample of 1000 person who consume oatmeal and almond cereal were asked which brand they consume. The results are provided in the table below. (Cereal Brand [ A [ B [ C [ D g Is there enough evidence to reject the null hypothesis that the percentage of people who consume oatmeal and almond cereal iz the same for all four brands? Use a significance level of 5%. The Smokey Bear Rangers station came out with a report in 2000 that said G1% of forest fires are started by accident, 24% by lighting, 13% by arson and 2% of causes are unknown. A 2017 study of 1000 randomly selected forest fire fighting companies was taken and the results of thizs sampling is recorded below. Cause of Forest Fire Lighting Number recorded 135 Assuming the Smokey Bear Rangers percentages are correct for the year 2010 test at the 2.5% sig- nificance level whether the current distribution of the canses of forest fires is different from the 2010 report