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At a university the historical mean of scholarship examination scores for freshman applications is 800. A...

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Basic Math

At a university the historical mean of scholarship examinationscores for freshman applications is 800. A historical populationstandard deviation  σ = 150 is assumed known.Each year, the assistant dean uses a sample of applications todetermine whether the mean examination score for the new freshmanapplications has changed.

(a) State the hypotheses.

(b) What is the 95% confidence interval estimate of thepopulation mean examination score if a sample of 90 applicationsprovided a sample mean x = 834?

(c) Use the confidence interval to conduct a hypothesis test.Using  α = 0.05,  what is yourconclusion?

(d) What is the test statistic? What is thep-value?

Answer & Explanation Solved by verified expert
4.4 Ratings (750 Votes)
a The appropriate hypotheses are against bc Since the lower    See Answer
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