1. An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it was determined that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group is suspicious of the claim and believes it is false. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W. Referring to the problem statement, the value of the test statistic is ________.

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A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below. Hour X R 18.4 25 2 16.9 27 3 23.0 30 4 21.2 23 5 21.0 24 6 24.0 25 7 19.3 12 8 15.8 14 20.0 13 10 23.0 11 Referring to the problem statement, suppose the supervisor constructs an X-bar chart to see if the process is in-control. What is the center line of the chart?A political pollster randomly selects a sample of 100 voters each day for 8 successive days and asks how many will vote for the incumbent. The pollster wishes to construct a p chart to see if the percentage favoring the incumbent candidate is too erratic. ITEM Number Favoring TITLE Incumbent Candidate 57 2 57 3 53 4 51 5 55 6 60 56 8 59 Referring to the problem statement, what is the numerical value of the center line for the p chart?An appliance manufacturer claims to have developed a compact microwave oven that Consumes an average of no more than 250 W. From previous studies, it was determined that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group is suspicious of the claim and believes it is false. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W. Referring to the problem statement, the p value of the test is