Hello, got question a) right. Only need help with questions b) thru d)

Use technology to help you test the claim about the populationmean,

mu, at the given level ofsignificance, alpha, using the given sample statistics. Assume the population is normally distributed.

Claim:

>1270; =0.02; =199.23. Samplestatistics: x=1291.16, n= 250

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

Calculate the standardized test statistic.

b) The standardized test statistic is___ (Round to two decimal places asneeded.)

c)Determine theP-value. P = ___(Round to three decimal places asneeded.)

Determine the outcome and conclusion of the test.

d)Fail to rejector rejectH0. At the 2% significancelevel, there is or is notenough evidence to support or reject the claim.