Suppose that we are to conduct the following hypothesis test:   ?0:?=50?1:?<50H0:μ=50H1:μ<50 Suppose that you also know that ?=15σ=15, ?=103n=103, ?¯=47x¯=47, and take ?=0.06α=0.06. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic:    Note: For the next part, your answer should use interval notation. An answer of the form (−∞,?)(−∞,a) is expressed (-infty, a), an answer of the form (?,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,?)∪(?,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty). B. The rejection region

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 Suppose that we are to conduct the following hypothesis test:

 

?0:?=50?1:?<50H0:μ=50H1:μ<50

Suppose that you also know that ?=15σ=15, ?=103n=103, ?¯=47x¯=47, and take ?=0.06α=0.06. Draw the sampling distribution, and use it to determine each of the following:

A. The value of the standardized test statistic: 

 

Note: For the next part, your answer should use interval notation. An answer of the form (−∞,?)(−∞,a) is expressed (-infty, a), an answer of the form (?,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,?)∪(?,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).

B. The rejection region for the standardized test statistic: 

C. The p-value is

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