The company advertises that its light bulbs have an average lifeof at least 800 hours. Assume that the population standarddeviation is 60 hours. A consumer agency decides to test this claimby selecting a random sample of 49 such light bulbs and finds amean life of 820 hours. Test whether the company’s claim true at a0.05 significance level.

Test the claim by answering the following questions:

1. State the null and alternative hypotheses and label yournumbers.
2. Describe your test, is it an upper z (or t) tailed-test, alower z (or t) tailed-test, or a two-tailed z (or t) test?
3. Calculate the test statistic, OR the p-value OR the confidenceinterval.
4. State the decision rule and make sure to use the criticalvalues, make a decision, and intertpret your results.

please i need it in 40 minutes