1. A fast food outlet claims that the mean waiting time in line is at least 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes and a standard deviation of 0.6 minute. Test the fast food outlet's claim at the 10% level of significance using the critical value approach. Be sure to state your decision and your conclusion 2. A carpet company advertises that it will deliver your carpet in 15 days or less. A sample of 28 past customers is taken. The average delivery time in the sample was 16.2 days. The standard deviation of the population is known to be 5.6 days. Using the critical value approach, test the hypotheses. Let a =0.05. Be sure to state your decision and your conclusion 3. An accountant claims to be able to complete a standard tax return in under an hour. For a random sample of 24 tax returns, the accountant averaged 63.2 minutes with a sample standard deviation of 7.7 minutes. Assuming that the population was normally distributed, use the critical value approach to investigate the validity of the claim made by the accountant. Conduct your test using the 10% level of significance. 4. The engineering school at a major university claims that 20% of its graduates are women. In a graduating class of 210 students, 58 were women. Use the critical value approach to test whether the school's claim is valid using a = 0.05. Be sure to state your decision and your conclusion 5. Last year, a soft drink manufacturer had 21% of the market. In order to increase their portion of the market, the manufacturer has introduced a new flavour in their soft drinks. Recently, of a sample of 400 individuals, 25% indicated that they are fans of the soft drink. Conduct a hypothesis test to evaluate whether the introduction of the new flavor has increased the company's market share. Use the critical value approach and a = 0.10. Be sure to state your decision and your conclusionE. A sample of 28 cookies is taken to test the claim that each cookie contains 9 chocolate chips. The researcher decided to use the p-value approach to investigate the validity of the claim. She calculated a p-value of [1.04 a. Write the null and alternative hypothesis algebraically h. Within the context of this question, when would a type I error occur? When would a type I[ error occur? [Unit 8.1 - last few slides]. c. Based on the evidence. would you be able to reject the claim at the 5% level of signicance? Give a reason for your answer. T. A student believes that more than 2% of the students who finish a statistics course get an A. The student collected information on the grades of 100 students. Based on this information, she calculated a p-value of [1.159. a. State the null and alternative hypotheses of the student's significance test. h. Within the context of this question, when would a type I error occur? When would a type I[ error occur? [Unit 8.1 - last few slides]. c. is there any evidence to support the student's claim at the 1% level of signicance? l[live a reason for your