Question: You would like to estimate the average amount spent on pizza annually by a UCLA undergraduate. You would like to be 95% confident that your

You would like to estimate the average amount spent on pizza annually by a UCLA undergraduate. You would like to be 95% confident that your estimate is within $5 of the true mean. A past study revealed a variance in pizza spending for this population to be 400.

  1. What sample size do you recommend? Show your work.
  2. You sample the number of undergraduates identified in your answer to part a). The sample reveals a sample mean of $400 and an estimated population standard deviation in this spending of $30. What is your realized confidence interval for the average annual spend on pizza? Show your work.
  3. The person who asked you to do the sample, believes that average spending is no more than $350. Provide statistical evidence of whether their belief is reasonable? Show your work and explain.

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