Carleton Chemical claims that they can produce more than 800 tons of meladone on average per week. A random sample of 36 weeks of production yields the following results.
Sample Size = 36
Sample Mean = 823
Sample Standard Deviation = 79.8
Does the sample data provide sufficient evidence to support the claim made by Carleton Chemical (using a = .10)? Use the hypothesis testing procedure outlined below.
a. Formulate the null and alternative hypotheses.
b. State the level of significance.
c. Find the critical value (or values), and clearly show the rejection and nonrejection regions.
d. Compute the test statistic.
e. Decide whether you can reject Ho and accept Ha or not.
f. Explain and interpret your conclusion in part e. What does this mean?
g. Determine the observed p-value for the hypothesis test and interpret this value. What does this mean?
h. Does the sample data provide sufficient evidence to support the claim made by Carleton Chemical (using a =.10)?