# Emery Adams

Union University

Statistics

Statistics teacher | Tutor for 7 years

With a Statistics major from Union University, my passion lies in deciphering data puzzles. Equipped with advanced analytical tools, I guide students through the complexities of mathematics, probability, and beyond. My teaching style fosters a deep understanding, empowering learners to tackle challenges with confidence. Whether unraveling statistical theories or demystifying mathematical concepts, I'm dedicated to illuminating the path to academic success. Join me in exploring the fascinating world of numbers, where every equation tells a story waiting to be understood.

## Questions

- How can you determine if a difference between the means of two samples is significant?
- On average a shop sells 750 kg per day with a standard deviation of 60 kilo’s. We assume sales are normal. If the shop has 850 kilograms in stock at the beginning of the day, what is the probability it runs out that day?
- A die is tossed. What is P(of the number being prime knowing that its even)?
- Consider a two-way table that summarizes age and ice cream preference. Of the children, 7 prefer vanilla, 12 prefer chocolate, and 3 prefer butter pecan. Of the adults, 10 prefer vanilla, 31 prefer chocolate, and 8 prefer butter pecan. What is the conditional probability that a person prefers vanilla, GIVEN THAT the person is an adult?
- Positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. What is the highest possible average of the medians of these 5 groups?
- There is a normal distribution with min = 4, max = 16 and mean = 10. What is the standard deviation?
- Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. What is the percentage of scores between 80 and 140?
- How many possible outcomes are there when flipping a coin 10 times?
- There are 98 ﬂowers in the bride's bouquet. If 25 of the ﬂowers are roses, approximately what percent of the flowers in the bouquet are not roses?
- What is the probability of drawing a 6 from a deck of cards?
- A linear regression equation for a data set has a correlation coefficient of r=0.4. Would you be conﬁdent using your equation to predict what will happen outside of the data set?
- What is the mean and range of 18, 23, 10, 39, 22, 17, 16, 15?
- 8 of the 40 newly built cars are selected at random to be checked for steering defects. Suppose 10 of the cars have such defects. What is the probability that all 8 of the selected cars have steering defect?
- If the probability of a frost tomorrow is 0.05, what is the probability of not having a frost?
- What is the probability of rolling a 2 on a six-sided die? What is the probability of rolling two 2s on two six-sided die?
- A time for the 100 meter sprint of 14.9 seconds at a school where the mean time for the 100 meter sprint is 17.6 seconds and the standard deviation is 2.1 seconds. What is the z-score for this observation?
- What is the geometric mean of 275 and 11?
- 6 bananas are to be selected from a group of 8. In how many ways can this be done?
- What is the mean of the prices $8, $19, $7, $3, $3?
- What is the standard deviation of the data set #87, 21, 90, 43, 54, 23, 123, 110, 90, 44,# and #50#?