Question:

Some students live either in apartments or apartment-style dorms on campus complete with a full kitchen. For students who live in these types of places and who enjoy cooking, they often eat all or most of their evening meals at home. For the purposes of this project the student wants to measure how long it takes them to cook dinner. It is conjectured that the mean time that it takes the student to prepare dinner, from gathering ingredients to putting it on a plate, will be 20 minutes.

What type of variable is the measured time for a student to cook/prepare dinner?

(A) Qualitative variable (B) Discrete quantitative variable (C) Continuous quantitative variable

2. Using the correct statistical notation/symbol, what is the hypothesis that is made in the paragraph above?

A simple random sample of 36 days was selected, and the time it took the student to cook/prepare the food each evening was recorded. The data is recorded below.

7.66 25.66 31.26 4.42 23.71 36.78 10.28 18.37 4.18 12.93 3.38 9.60

4.48 38.40 17.42 5.38 45.88 14.72 19.37 20.53 6.48 28.92 7.60 4.26

7.68 27.33 23.92 5.56 30.32 12.05 13.82 18.20 5.12 7.23 4.03 1.07

Descriptive Statistics:

3. Construct a stem-and-leaf plot, histogram or boxplot to graphically display this data.

4. Calculate the mean, median, range, standard deviation and interquartile range for this data.

5.Describe completely the distribution of this data.

Inferential Statistics:

6. Use the hypothesis stated in question 2 as the null hypothesis, and for the alternative hypothesis we want to test to see if the mean time that it takes the student to prepare dinner is different from 20 minutes. Write these two hypotheses in statistical notation.

7. Discuss the assumptions required to test the hypotheses in question 6, and whether they are satisfied in this case.

8. Use the data presented above to test the hypotheses at significance level ? = .05. Complee this even if the assumptions are violated.

9. Use the data presented above to calculate and interpret a 95% confidence interval for the mean time that it takes the student to prepare dinner each evening.

What does the univariate t test tell you that the bivariate correlation test alone does not? What does the bivariate test tell you that the univariate test does not tell you? Select one: Only the univariate comparison tells you that vanilla is preferred over chocolate on average; only the bivariate analysis tells you that people who prefer vanilla more also prefer chocolate more. Only the univariate comparison tells you how to predict chocolate preference from vanilla preference; only the bivariate analysis tells you that people who prefer vanilla more also prefer chocolate more. Only the univariate comparison tells you that people who prefer vanilla more also prefer chocolate more; only the bivariate analysis tells you that chocolate is preferred over vanilla on average Only the univariate comparison tells you that the preferences for chocolate and vanilla are not different; only the bivariate analysis tells you that people who prefer vanilla more also prefer chocolate more.SP20 MATH 202 MW 9:15a-10:55a Homework: Recommended Problems for Section 4.1 Score: 0 of 1 pt 1 of 17 (0 complete) 4.1.1 What is the difference between univariate data and bivariate data? Choose the correct answer below. O A. In univariate data, the data are qualitative, In bivariate data, the data are quantitative. O B. In univariate data, there is one mean. In bivariate data, there are two means O C. In univariate data, a single variable is measured on each individual In bivariate data, two variables are measured on each individual. O D. In univariate data, there are only positive values and zeros. In bivariate data, there are positive values, negative values, and zeros. Click to select your answer and then click Check Answer Clear All All parts showing A\f1. Kolmogorov and Smirnov have some dental data and want to test the hypothesis that the data came from a two-parameter Pareto distribution with shape parameter 5 and scale parameter 100. They have five observations: 25.1, 37.2, 40.3, 50.6, 75.2. Using the Kolmogorov-Smirnov test, choose one of the following: (A) Do not reject Ho at the 0.10 significance level; (B) Reject Ho at the 0.10 significance level, but not at the 0.05 significance level; (C) Reject Ho at the 0.05 significance level, but not at the 0.025 significance level; (D) Reject Ho at the 0.025 significance level, but not at the 0.01 significance level; (E) Reject Ho at the 0.01 significance level. The critical values for the Kolmogorov-Smirnov test, where n denotes the sample size, are: Significance Level | 0.10 | 0.05 | 0.025 0.01 Critical Value 1.22