Use the Following to Answer Questions : in a Hypothesis

question 57

Short Answer

Use the following to answer questions : In a hypothesis test with hypotheses H₀ : μ=90 and H₁ : μ ≠ 90 , a random sample of 103 elements selected from the population produced a mean of 94.3. Assume that σ = 22.1, and that the test is to be made at the 5% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Definitions:

Population Mean

The average value of all the elements in a population, representing the expected value of a given population parameter.

Critical Value

A threshold value that defines the cutoff points in a statistical test which discriminates between the null hypothesis and the alternative hypothesis.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

Confidence Interval

A range of data figures, acquired from sample analysis, predicted to include the value of an unacknowledged population characteristic.