John, an experienced Airbnb host claims that true average rental price per night for a shared room in lower east side of Manhattan is $100. A sample of 15 shared room rentals from the neighborhood yields a sample average price per night of $85 with a standard deviation $17 (source: Kaggle.com). Suppose the distribution of price per night is normally distributed. Is there sufficient evidence to believe that average price per night for a shared room in Manhattan’s lower east side is less than what John claims? (Use 5% significance level)?  (3 points) Calculate the p value for the test. You may use MINITAB to get the numerical value of the p value. However, you MUST clearly state the p value as a probability statement. (5 points) Make the decision about the null hypothesis and write the final conclusion in the context of the problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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John, an experienced Airbnb host claims that true average rental price per night for a shared room in lower east side of Manhattan is $100. A sample of 15 shared room rentals from the neighborhood yields a sample average price per night of $85 with a standard deviation $17 (source: Kaggle.com).

Suppose the distribution of price per night is normally distributed. Is there sufficient evidence to believe that average price per night for a shared room in Manhattan’s lower east side is less than what John claims? (Use 5% significance level)? 

  1. (3 points) Calculate the p value for the test. You may use MINITAB to get the numerical value of the p value. However, you MUST clearly state the p value as a probability statement.
  2. (5 points) Make the decision about the null hypothesis and write the final conclusion in the context of the problem. 
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