Question

In: Math

Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at...

Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use the random sample of 68 satisfaction ratings to provide evidence supporting the claim that the mean composite satisfaction rating for the XYZ-Box exceeds 42. (a) Letting µ represent the mean composite satisfaction rating for the XYZ-Box, set up the null hypothesis H0 and the alternative hypothesis Ha needed if we wish to attempt to provide evidence supporting the claim that µ exceeds 42. H0: µ 42 versus Ha: µ 42. (b) The random sample of 68 satisfaction ratings yields a sample mean of x⎯⎯=42.810. Assuming that σ equals 2.70, use critical values to test H0 versus Ha at each of α = .10, .05, .01, and .001. (Round your answer z.05 to 3 decimal places and other z-scores to 2 decimal places.) z = Rejection points z.10 z.05 z.01 z.001 Reject H0 with α = , but not with α = (c) Using the information in part (b), calculate the p-value and use it to test H0 versus Ha at each of α = .10, .05, .01, and .001. (Round your answers to 4 decimal places.) p-value = Since p-value = is less than ; reject H0 at those levels of α but not with α = . (d) How much evidence is there that the mean composite satisfaction rating exceeds 42? There is evidence.

Solutions

Expert Solution



Related Solutions

Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at...
Recall that "very satisfied" customers give the XYZ-Box video game system a rating that is at least 42. Suppose that the manufacturer of the XYZ-Box wishes to use the random sample of 64 satisfaction ratings to provide evidence supporting the claim that the mean composite satisfaction rating for the XYZ-Box exceeds 42.    (a) Letting µ represent the mean composite satisfaction rating for the XYZ-Box, set up the null hypothesis H0 and the alternative hypothesis Ha needed if we wish to...
Select a country as a possible new market for a new video game system, the M-Box...
Select a country as a possible new market for a new video game system, the M-Box by MES-Sim Corporation. Research and analyze that country. Recommend whether the market should be developed, or not, by MES-Sim Corporation The MIR requires teams to gather current, or the most recently available, data on the market’s people, economy, government, and technological status from online sources.
A luxury hotel believes that 90% of their customers are very satisfied with its service. A...
A luxury hotel believes that 90% of their customers are very satisfied with its service. A random sample of 120 guests were surveyed to determine how satisifed they are with the service and accommodations at the hotel. a. Describe the random variable for this probability distribution (i.e., what type of variable, what is the probability distribution, what does the variable represent, what are it's possible values, etc.). b. What is the probability that at least 110 of the people in...
A company that produces and markets video game systems wishes to assess its customers' level of...
A company that produces and markets video game systems wishes to assess its customers' level of satisfaction with a relatively new model, the XYZ-Box. In the six months since the introduction of the model, the company has received 73,219 warranty registrations from purchasers. The company will select a random sample of 65 of these registrations and will conduct telephone interviews with the purchasers. Specifically, each purchaser will be asked to state his or her level of agreement with each of...
Jessica derives utility from her consumption of two goods, video game plays on an X-Box (call...
Jessica derives utility from her consumption of two goods, video game plays on an X-Box (call it good X) and high energy yogurt (call it good Y). Her utility function is U(X,Y) = XY. The price per play of games is $2.00 and the price of yogurt is $10 per container and Jessica's income is $50 per week. She is presently consuming a bundle of game plays and yogurt such that her marginal rate of substitution is 1 (or -1,...
Recall that a bank manager has developed a new system to reduce the time customers spend...
Recall that a bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. The bank manager hopes that the new system will have a mean waiting time that is less than six minutes. The mean of the sample of 100 bank customer waiting times in Table 1.9 is 5.46....
Recall that a bank manager has developed a new system to reduce the time customers spend...
Recall that a bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The manager hopes the new system will reduce waiting times from the current 9 to 10 minutes to less than 6 minutes. Suppose the manager wishes to use the random sample of 100 waiting times to support the claim that the mean waiting time under the new system is shorter than six minutes. Letting μ represent the...
Recall that a bank manager has developed a new system to reduce the time customers spend...
Recall that a bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The manager hopes the new system will reduce waiting times from the current 9 to 10 minutes to less than 6 minutes. Suppose the manager wishes to use the random sample of 100 waiting times to support the claim that the mean waiting time under the new system is shorter than six minutes. Letting μ represent the...
Recall that a bank manager has developed a new system to reduce the time customers spend...
Recall that a bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. The bank manager hopes that the new system will have a mean waiting time that is less than six minutes. The mean of the sample of 90 bank customer waiting times is x⎯⎯ x ¯ =...
Recall that a bank manager has developed a new system to reduce the time customers spend...
Recall that a bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers during peak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. The bank manager hopes that the new system will have a mean waiting time that is less than six minutes. The mean of the sample of 99 bank customer waiting times is x¯ = 5.44. If...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT