Jon works as a "sanitation engineer" for a zoo. Every day he goes to work he feels like he is shoveling a great deal of waste and he wants to know if the amount of waste that he disposes of is greater than 1500 pounds (which is the national average according the American Zoological Review.). Assume a population standard deviation of 200 pounds. In a random sample 25 days, Jon removes an average of 1588 pounds of waste per day. With a .05 level of significance, can we conclude that the population mean amount of crap Jon disposes of per day is greater than 1500 pounds?
a. Is the sample size large enough to ensure valid inference? If you aren't sure, how would you determine whether or not the sample size was large enough)?
b. State the null and alternative (research) hypotheses.
c. Test the hypothesis using the critical value approach.
d. Test the hypothesis using the p-value approach.
Construct and interpret the 90% confidence interval