Empirical Rule Normal Distribution Measures of Center & Statistics Tests Q&As

I’m working on a statistics test / quiz prep and need an explanation to help me learn.

1. According to the empirical rule, approximately what percentage of normally distributed data lies within one standard deviation of the mean?
2. Give two characteristics of a normal distribution
3. Which of the following ranks the following measures of center in order or “least affected by outliers” to “most affected by outliers”
   1. mean, median, range
   2. median, mean, range
   3. range, median, mean
   4. median, range, mean
   5. range, mean, median
4. Give one difference between the Chi-square test statistic, F-test statistic and t-test statistic
5. Three normal coins are tossed. What is the probability that at least 2 coins are heads
6. True or False: With all else constant, an increase in population standard deviation will shorten the length of a confidence interval. Please give an explanation of your answer
7. a group of 4 is to be formed from a group of 10- how many groups are possible

Q8

The following age information was collected from pedestrians at an intersection.

32,28, 36, 42, 22,18, 22, 25, 24, 29

30, 31, 19, 24, 35, 29, 36,26,20,36

1. What is the mean, median and mode? Compute by hand and show work
2. What is the Standard deviation? Compute by hand and show work
3. It is thought that this intersection is located in an area mostly populated with young residents with a mean age of 25 years. From the collected data, do we have evidence to support or not support the claim?
4. State the null/ alternative hypothesis
5. What is the test that should be used for hypothesis testing? Give reasons why
6. Assume a 5% significance level, what is the critical value?
7. What is the p-value (approximate)?
8. What can we conclude? Be specific

Q9

1. To study possible correlation between the height(cm) and weight (kg) of tigers, a sample of 40 tigers was collected. The correlation coefficient was found to be r=+0.813. What can be said about the relation between height and weight?
2. With the data collected, the slope of the regression line was found to be 0.34 with an intercept of 19.5. What is the expected weight of a 70 cm tall tiger?