In preparation for upcoming wage negotiations with the union, the managers for the Bevel Hardware Company want to establish the time required to assemble a kitchen cabinet. A first line supervisor believes that the job should take 59 minutes on average to complete. A random sample of 21 cabinets has an average assembly time of 55 minutes with a population standard deviation of 9 minutes. Is there overwhelming evidence to contradict the first line supervisor's belief at a 0.01 significance level? Assume the population of assembly times is approximately normally distributed. Step 3 of 3: Draw a conclusion and interpret the decision.

12.) The FAA has to periodically revise their rules regarding weight estimates. Airlines use anestimate for the weight of a passenger of 195 lbs. (an adult traveling in winter including 20 lbs.of baggage). According to your textbook, assume that men (not carrying baggage) have weightsthat are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9 lbs.a.) If one adult male is randomly selected and is assumed to be carrying 20 lbs. carry-onbaggage, find the probability that the total weight is greater than 195 lbs.b.) What total weight would separate the lower 20% of men carrying 20 lbs. of baggage fromthe top 80%?

1. The owner of a gas station which makes headlight inspections for the state is trying to decide whether or not to discontinue the service. He figures that to make the operation profitable, the station must average in excess of 15 inspections per week. Unless data indicates strongly that this is the case, inspections will be discontinued. Data for the past year (52 weeks) yields a sample average of 16.7 inspections per week with a sample standard deviation of 4.5. Is this strong enough evidence to cause the owner to retain the inspection service? Test the relevant hypotheses using the P-value method.

2. A professional racing team is holding tryouts at its test track. The team requires its drivers to have an average lap time of at most 133 seconds at its test track. The team will use a one sample z-test of significance to determine if they should hire a new driver.   An amateur driver completes 10 timed laps of the test track with an average lap time of 140 seconds. If the standard deviation of all lap times at this track is 4.5 seconds, what is the value of the test statistic? Round your answer to two decimal places. Answer value    Please show work!!!