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29 Oct 2018

Problem 2 (7 points) Bags of chips are marked with a weight of 40 ounces. The weight of the bags actually varies according to a normal distribution with mean = 40 ounces and standard deviation=1.8 ounces. If a bag is selected at random, what is the probability that it actually weighs more than 42 ounces?

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31 Oct 2018
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Related questions

The scores of individual students on the American College Testing (ACT) Program Composite College Entrance Examination have a Normal distribution with mean 18.6 and standard deviation 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. 3. What is the sampling distribution of the sample mean score for a random sample of 36 students? A) Approximately Normal, but the approximation is poor. B) Approximately Normal, and the approximation is good. C) Exactly Normal. D) Neither Normal nor non-Normal. It depends on the particular 36 students selected.

The Lakeside Coffee Shop morning customer load follows a normal distribution. The mean number of customers is 60 and the standard deviation is 15.

  1. Determine the probability that the number of customers tomorrow will be 50. (3 marks)
  2. If the store gets more than 70 customers, they need to have a fourth staff member working. What is the probability that they will need that fourth person tomorrow? (3 marks)
  3. If the number of customers falls below 42, then two staff members are sufficient. What are the chances only two workers are required tomorrow? (3 marks)

Problem 9 (15 points) Professor Dunderhead teaches statistics every semester exactly the same way. Scores on his final exams are remarkably consistent, with mean score 76.4 and standard deviation 7.3. This semester the professor discovers he has mistakenly been drinking decaffeinated coffee for years and switches to caffeinated coffee. He finds that a random sample of 15 of his students earns an average score of 79.7 on the final. He wonders if this is sufficient evidence to conclude his students this semester performed differently on the final than in years past. (c) Is this result statistically significant at the 5% level?

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