MATH 221 Week 6 Homework: Statistics for Decision-Making (LATEST UPDATE) | 100% correct solution

MATH 221 Week 6 Homework: Statistics for Decision-Making (May 2021) Question: A consumer analyst reports that the mean life of a certain type of alkaline battery is more than 63 months. Write the nul l and alternative hypotheses and note which is the Question: An amusement park claims that the average daily attendance is at least 20,000. Write the null and alternative hypotheses and note which is the claim. Question: Type I and type II errors occur because of what issue within the hypothesis testing process? Question: A scientist claims that the mean gestation period for a fox is 50.3 weeks. If a hypothesis test is … that rejects the null hypothesis, how would this decision … ? Question: A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is … that fails to reject the null hypothesis, how would this decision … ? Question: A sprinkler manufacturer claims that the average activating temperatures is at most 131 degrees. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133 degrees. Assume the population standard deviation is 3.3 degrees. Find the … test statistic and the corresponding p-value. Question: A consumer research organization states that the mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.8 milligrams. You find a random sample of 48 12-ounce bottles of caffeinated soft drinks that has a mean caffeine content of 41.5 milligrams. Assume the population standard deviation is 12.5 milligrams. At α=0.05, what type of test is this and can you reject the organization’s claim using the test statistic? Question: A computer manufacturer estimates that its cheapest screens will last less than 2.8 years. A random sample of 61 of these screens has a mean life of 2.6 years. The population is normally … with a population standard deviation of 0.88 years. At α=0.02, what type of test is this and can you support the organization’s claim using the test statistic? Question: A business receives supplies of copper tubing where the supplier has said that the average length is 26.70 inches so that they will fit into the business’ machines. A random sample of 48 copper tubes finds they have an average length of 26.75 inches. The population standard deviation is … 0.20 inches. At α=0.05, should the business reject the supplier’s claim? Question: The company’s cleaning service states that they spend more than 46 minutes each time the cleaning service is there. The company times the length of 37 randomly … cleaning visits and finds the average is 48.2 minutes. Assuming a population standard deviation of 5.2 minutes, can the company support the cleaning service’s claim at α=0.10? Question: A customer service phone line claims that the wait times before a call is … by a service representative is less than 3.3 minutes. In a random sample of 62 calls, the average wait time before a representative answers is 3.26 minutes. The population standard deviation is … 0.14 minutes. Can the claim be supported at α=0.08? Question: In a hypothesis test, the claim is µ≤40 while the sample of 40 has a mean of 41 and a population standard deviation of 5.9 from a normally … data set. In this hypothesis test, would a z test statistic be used or a t test statistic and why? 13. Question: A university claims that the mean time professors are in their offices for students is at least 6.5 hours each week. A random sample of nine professors finds that the mean time in their offices is 6.1 hours each week. With a sample standard deviation of 0.49 hours from a normally … data set, can the university’s claim be supported at α=0.05? 14. Question: A credit reporting agency claims that the mean credit card debt in a town is greater than $3500. A random sample of the credit card debt of 28 residents in that town has a mean credit card debt of $3590 and a standard deviation of $391. At α=0.10, can the credit agency’s claim … , assuming this is a normally … data set? Question: A researcher wants to determine if zinc levels are different between the top of a glass of water and the bottom of a glass of Many samples of water are taken. From half, the zinc level at the top is … and from half, the zinc level at the bottom is measured. Would this be a valid matched pair test? Show Less