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)?  Clearly state the null and alternative hypothesis to answer the above research question. Define any parameters you may use.  Check the conditions that needs to be satisfied in order to do the test you stated in part 1.  Calculate the test statistic Calculate the degrees of freedom What is the rejection region for the test? 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…

A dealer in recycled paper places empty trailers at various sites. The trailers are gradually filled by individuals who bring in old newspapers and magazines, and are picked up on several schedules. One such schedule involves pickup every second week. This schedule is desirable if the average amount of recycled paper is more than 1,600 cubic feet per 2-week period. The dealer's records for eighteen 2-week periods show the following volumes (in cubic feet) at a particular site (recycled paper.xlsx ✓). Is there enough evidence to suggest that two-week pick-up schedule is desirable? Use 5% significance level. Clearly state the 6 steps of the hypothesis test you do and show all your work. NOTE: Since you have the data make sure to check if the the conditions for the above test are satisfied.

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