quick answers pleasee.

The company advertises that its light bulbs have an average life of at least 800 hours. Assume that the population standard deviation is 60 hours. A consumer agency decides to test this claim by selecting a random sample of 49 such light bulbs and finds a mean life of 820 hours. Test whether the company's claim true at a 0.05 significance level. Test the claim by answering the following questions: a. State the null and alternative hypotheses and label your numbers. b. Describe your test, is it an upper z (or t) tailed-test, a lower z (ort) tailed-test, or a two-tailed z (ort) test? c. Calculate the test statistic, OR the p-value OR the confidence interval d. State the decision rule and make sure to use the critical values e. Make a decision, i.e., interpret your results in part (d).