# Tutoring on the Normal Distribution

### Tutoring on the Normal Distribution

Frank only had a brief introduction to statistics when he was in high school 12 years ago, and that did not cover inferential statistics. He is not confident in his ability to answer some of the problems posed in the course.

As Frank’s tutor, you need to provide Frank with guidance and instruction on a spreadsheet he has partially filled out. Your job is to help him understand and comprehend the material. You should not simply be providing him with an answer, as this will not help when it comes time to take the test. Instead, you will be providing a step-by-step breakdown of the problems, including an explanation of why you did each step and using proper terminology.

The average daily temperature in Orlando, Florida during the month of January follows a normal distribution with a mean of 61°F and a standard deviation of 4°F. What percentage of days in January, will the temperature be less than 58°F in Orlando?

Show your calculations using Excel functions in the area to the right of this text box and answer the problem with explanations below.

The weight of boxes of Cheerios are normally distributed with a mean of 15.4 ounces with a standard deviation of 0.35 ounces. Find the probability that a randomly selected box of Cheerios will weigh more than 16 ounces.

Show your calculations using Excel functions in the area to the right of this text box and answer the problem with explanations below.

Identify where the student went wrong when solving the problem above. Show how to correctly calculate the answer using Excel in the cells to the right of this text box. Finish the problem by stating how to correctly set up the problem and solve it below.

Identify where the student went wrong when solving the problem above. Show how to correctly calculate the answer using Excel in the cells to the right of this text box. Finish the problem by stating how to correctly set up the problem and solve it below.

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