Q1:

**Assigned Problem 1: ** Perform a categorical analysis on fees for this sample of mutual funds. Describe your findings

**Assigned Problem 2: ** Create a frequency distribution and a histogram of the NAVâ€™s. Use eight classes of data. Edit the graph to make it professional looking. Describe your findings

**Assigned Problem 3: ** Compute the descriptive statistics for the 1-year return of the mutual funds. Describe your findings

Q2

**Assigned Problem 1:** Create a pivot table (also known as crosstabulation or a contingency table) of Race and Low Birth Weight on Excel so you can answer the following:

- What is the probability of randomly choosing a Black woman?
- What is the probability of randomly choosing a White woman AND a Low birth weight?
- What is the probability of randomly choosing a Black woman OR a Low birth weight?
- Given that the mother you selected is a White, what is the probability she had Low birth weight?
- Given that the mother had Low birth weight, what is the probability she is Black?

**Assigned Problem 2:** Let us assume that the Low_Birth_Weight. is a random sample from the Concordia Hospital in 2018. We are given that the mean birth weight is approximately 6.5 pounds with a standard deviation of 1.6 pounds. Note: The national standard is that a birth weight below 5.5 pounds is low. Using Microsoft Excel compute the following:

- What is the probability of a low birth weight (< 5.5 pounds) occurring at Concordia?
- What is the probability of a birth weight being above the national average of 7.5 pounds?
- What is the probability of a birth weight being between 5 and 6 pounds?
- The bottom 10% of births by weight are below what weight?

Q3

**Assigned Problem 1: ** First compute the mean total weight and standard deviation of the garbage disposed each week by the sample. Then, compute the 95% confidence interval of the mean total garbage disposed of in a week on Concordia St. Describe your findings.

**Assigned Problem 2:** First compute the proportion of homes in the sample that recycle. Then, compute the 95% confidence interval of the proportion of homes on Concordia St. that recycle. Describe your findings.

**Assigned Problem 3**: You wish to learn the average number of pounds of garbage disposed of in a week by the people on Concordia St. within two pounds. Using the standard deviation from problem 1 as an estimate, how large of a sample should you obtain?

**Assigned Problem 4:** You wish to learn the proportion of homes on Concordia St. that recycle within 10% of the true population proportion and be 99% confident of the results. How large of a sample should you obtain?