Question 7

docx

School

Harvard University *

*We aren’t endorsed by this school

Course

245

Subject

Statistics

Date

Jan 9, 2024

Type

docx

Pages

Uploaded by MateFangScorpion33

Question 1: Mean, Median, Mode a) Mean: 15.215.2 , Median: 1414 , Mode: 1212 b) Mean: 26.526.5 , Median: 2727 , Mode: 3030 Question 2: Box Plots a) Construct a box plot for the given data set. Data: 10,12,15,18,20,22,25,30,35,4010,12,15,18,20,22,25,30,35,40 b) Analyze the skewness and outliers in the box plot. Question 3: Probability Distributions a) Construct a probability distribution table for rolling a fair six-sided die. b) Calculate the expected value of the given probability distribution. Question 4: Hypothesis Testing a) Perform a hypothesis test to determine if the mean weight of a sample of 50 apples is significantly different from 150 grams.

b) State the null and alternative hypotheses and calculate the test statistic. Sample Answers: Question 1: a) Mean: 15.215.2 , Median: 1414 , Mode: 1212 b) Mean: 26.526.5 , Median: 2727 , Mode: 3030 Question 2: a) [Box plot should be drawn based on the given data.] b) Analyze the skewness and outliers in the box plot. Question 3: a) [Probability distribution table for rolling a fair six-sided die should be constructed.] b) Calculate the expected value of the given probability distribution. Question 4: a) Perform a hypothesis test to determine if the mean weight of a sample of 50 apples is significantly different from 150 grams. b) State the null and alternative hypotheses and calculate the test statistic.

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version