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## Use the data given below to test a claim about the population mean

Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed.

Claim:> 1180; a = 0.02; sigma = 206.97. Sample statistics: x_bar= 1199.66, n = 275

Identify the null and alternative hypotheses.

Calculate the standardized test statistic.

The standardized test statistic is __ (Round to two decimal places as needed.)

Determine the P-value.

P= __ (Round to three decimal places as needed.)

Determine the outcome and conclusion of the test.