assume your data is normally distributed and ? is unknown, statistics homework help

Original Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.
Test the claim using ? = 0.05 and assume your data is normally distributed and ? is unknown.

Based on your selected topic, answer the following:

Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.
Is the test two-tailed, left-tailed, or right-tailed? Explain.
Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.
What is the value of the test-statistic? What is the P-value?
What is the critical value?
What is your decision; reject the null or do not reject the null?

Explain why you made your decision including the results for your p-value and the critical value.

State the final conclusion in non-technical terms.

Please show your work for the construction of the test-statistic and explain your process for finding the p-value and critical value. Be sure to use the Equation Editor to format your equations.

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