Question

1.Consider the intervals constructed in questions 1 and 2. Explain why it’s more important to know if the weights of the population of hamburger bun packages are normally distributed than it is to know if the weights of the population of packages of hot dogs are normally distributed. [Suggested length – 2 to 3 sentences]

question 1.In a sample of 10 packages of hamburger buns, the average (mean) weight of the packages was 200 grams. Assuming that the population standard deviation is 2.5 grams, construct a 92% confidence interval. [Show ALL your work. No marks will be awarded without supporting calculations]

question 2.In a sample of 35 packages of hot dogs, the average (mean) weight of the packages was 454 grams and the sample standard deviation was 20 grams. Construct a 98% confidence interval. [Show ALL your work. No marks will be awarded without supporting calculations]

2.Consider the analyst from problem 4. Suppose that he conducts his survey and the estimated interval is (8.2%, 12.1%). Is the sample evidence consistent with his prior belief that 10% of busses run behind schedule? Explain. [Suggested length – 1 to 2 sentences]

problem 4 An analyst for BC Transit believes that 10% of busses run behind schedule; however, he wishes to confirm his beliefs by constructing an interval estimate for the proportion of all buses that run behind schedule. He desires a 90% level of confidence and is willing to accept no more than a 3 percentage-point margin of error. [Show ALL your work. No marks will be awarded without supporting calculations]

Answer 1

1;

Since confidence interval needed for wieght of hamburgers buns so it’s more important to know if the weights of the population of hamburger bun packages are normally distributed than it is to know if the weights of the population of packages of hot dogs are normally distributed.

Since sample size is less than 10 so let us assume that weights of the population of hamburger bun packages are normally distributed.

2:

Since sampe size is greatre than 35 so it is not neessary to assume that population is normally distributed.

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2:

Since confidence interval contains 10% so there is no evidence to conclude that 10% of busses run behind schedule.