Use technology to help you test the claim about the populationmean, , at the given level ofsignificance, , using the given sample statistics. Assume the population is normally distributed.

Claim: >1180; =0.02; =213.65. Samplestatistics: x=1197.58, n=250

Identify the null and alternative hypotheses. Choose the correct answer below.

Calculate the standardized test statistic.

The standardized test statistic is____

Determine theP-value.

P=

(Round to three decimal places asneeded.)

Determine the outcome and conclusion of the test.