In the next preview assignment and in the next class, you will need to be able to calculate the mean and standard deviation of a variable, create a histogram, describe the shape and spread of a histogram, and define null and alternative hypotheses for one-sided and two-sided hypothesis tests for means.
Ages of Best Actress/Actor Winners from the Oscars
For Questions 1–5: Use the DCMP Describing and Exploring Quantitative Variables tool at https://dcmathpathways.shinyapps.io/EDA_quantitative/ and the “Oscars: Age” dataset to answer the following questions. The dataset has 184 observations of the ages of the best actress/actor winners from movies from the Oscars awards ceremonies.
Question 1
1) What is the mean age of the best actress/actor winners?
Question 2
2) What is the standard deviation of the ages?
Question 3
3) What are the minimum and maximum values of ages of the best actress/actor winners from the Oscars?
Question 4
4) Use the data analysis tool to create a histogram of the ages of the best actress/actor winners from the Oscars. Describe the shape and spread of the histogram.
Question 5
5) What are the two hypotheses you need to write down if you are conducting a hypothesis test?
Question 6
6) Are the two hypotheses in Question 5 saying something about the sample or the population?
Question 7
7) In the context of the “Oscars: Age” dataset, a hypothesis test investigating the mean age of the best actress/actor winners would focus on which of the following?
a) The number of actresses and actors who won best actress/actor
b) The minimum number actresses and actors who won best actress/actor
c) How likely it is to observe data like the sample we obtained about the mean age of the best actress/actor winners if the null hypothesis is true
Question 8
8) Determine whether this statement is true or false: The alternative hypothesis is always that the population parameter(s) is not equal to some hypothesized value.
Question 9
9) If the null hypothesis that we are trying to reject is that a population parameter is equal to some value and the alternative is that the population parameter is not equal to this value, what type of test do we have?
a) A one-tailed test
b) A two-tailed test
