1) A hardware store in West Covina, CA, conducts a survey to estimate the average number of houseplants in people's houses. A sample of 40 people gives the following data: 13, 5, 18, 20, 0, 1, 3, 0, 3, 1, 23, 16, 0, 0, 19, 10, 24, 20, 3, 2, 7, 24, 0, 6, 1, 11, 2, 2, 16, 1, 3, 2, 14, 1, 10, 5, 2, 6, 1, 8 Claim: The average number of houseplants for all West Covina households is less than 10.5. Test this claim at the 5% significance level (a= 0.05). a) Write the null and alternative hypotheses. b) Calculate the test statistic. (It's f.) c) Bound this value of t between the two nearest values in Table A.3. d) Find bounds on the tail area, and thus, on the p-value. (The p-value equals the tail area for this problem.) e) State your conclusion. Either... p a, fail to reject Ho, fail to accept H f) Write a 1-sentence summary. g) Check your answer for t and p on your GC, if you have a GC.