A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 15% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 100 bags and finds that 21 of them are over-filled. He plans to test the hypotheses: H0: p = 0.15 versus Ha: p > 0.15 (where p is the true proportion of overfilled bags). What is the test statistic?

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general 8 months ago 5372

In the country of Tibet, a person called the Dalai Lama is in charge of much of the government. When the Dalai Lama dies, Tibetans believe that his spirit leaves his body. They also believe that this spirit is quickly born again. After a few years, Tibetan religious officials begin to look for signs that tell them where he has been reborn. In 1933, the 13th Dalai Lama died. Two years later, Lhamo Thondup was born. After searching the country, officials decided that he was the next reincarnation of the Dalai Lama's spirit. When he was four, officials took him to live in Lhasa, the capital of Tibet.-Adapted from "The Dalai Lama: A Man Reborn to Lead Tibet" by George GibsonWhich paraphrased evidence supports the claim that Lhamo Thondup would be the next Dalai Lama?Check all that are true.1.The Dalai Lama is an important leader in the country of Tibet.2.Lhamo Thondup was four years old when Tibetan religious officials moved him to Lhasa, the capital of Tibet.3.After searching the country, Tibetan religious officials decided that Lhamo Thondup was the next reincarnation of the Dalai Lama's spirit.4.Lhamo Thondup was already in charge of much of the government when the 13th Dalai Lama died.

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general 8 months ago 6362

A new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft. It is proposed that the new design be implemented only if sample data strongly indicates a reduction in true average braking for the new design. Define the parameter of interest and state the relevant hypothesis. Suppose braking distance for the new system is normally distributed with sigma = 10. Let X denote the sample average braking distance for a random sample of 36 observations. Which of the following three rejection regions is appropriate : What is the significance level for the appropriate region of part(b)?How would you change the region to obtain a test with alpha = 0.001? What is the probability that the new design is not implemented when its true average braking distance is actually 115 ft and the appropriate region from part (b) is used? Let Z = (x - 120)/ (sigma / n), what is the significance level for the region {z : z le -2.33}? For the region {z : z le -2.88}?

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general 8 months ago 5314