Question

Suppose that you are to conduct the following hypothesis test: $H_0: \mu = 500$ $H_1: \mu \neq 500$ Assume that you know that $\sigma = 90$, $n = 44$, $\bar{x} = 481.1$, and take $\alpha = 0.005$. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: $\frac{(481.1 - 500)}{\frac{90}{\sqrt{44}}}$ Note: For the next part, your answer should use interval notation. An answer of the form $(-\infty, a)$ is expressed $(-\infty, a)$, an answer of the form $(b, \infty)$ is expressed $(b, \infty)$, and an answer of the form $(-\infty, a) \cup (b, \infty)$ is expressed $(-\infty, a)\cup(b, \infty)$. B. The rejection region for the standardized test statistic: $(-\infty, -2.5758293035489) \cup (2.5758293035489, \infty)$ C. The p-value is 0.16362510931288 D. Your decision for the hypothesis test: A. Reject $H_1$. B. Reject $H_0$. C. Do Not Reject $H_1$. D. Do Not Reject $H_0$.

          Suppose that you are to conduct the following hypothesis test:
$H_0: \mu = 500$
$H_1: \mu \neq 500$
Assume that you know that $\sigma = 90$, $n = 44$, $\bar{x} = 481.1$, and take $\alpha = 0.005$. Draw the sampling distribution, and use it to determine each of
the following:
A. The value of the standardized test statistic:
$\frac{(481.1 - 500)}{\frac{90}{\sqrt{44}}}$
Note: For the next part, your answer should use interval notation. An answer of the form $(-\infty, a)$ is expressed $(-\infty, a)$, an answer of the form
$(b, \infty)$ is expressed $(b, \infty)$, and an answer of the form $(-\infty, a) \cup (b, \infty)$ is expressed $(-\infty, a)\cup(b, \infty)$.
B. The rejection region for the standardized test statistic: $(-\infty, -2.5758293035489) \cup (2.5758293035489, \infty)$
C. The p-value is 0.16362510931288
D. Your decision for the hypothesis test:
A. Reject $H_1$.
B. Reject $H_0$.
C. Do Not Reject $H_1$.
D. Do Not Reject $H_0$.

Suppose that you are to conduct the following hypothesis test:
H0: μ = 500
H1: μ≠ 500
Assume that you know that σ = 90, n = 44, x̅ = 481.1, and take α = 0.005. Draw the sampling distribution, and use it to determine each of
the following:
A. The value of the standardized test statistic:
((481.1 - 500))/((90)/(√(44)))
Note: For the next part, your answer should use interval notation. An answer of the form (-∞, a) is expressed (-∞, a), an answer of the form
(b, ∞) is expressed (b, ∞), and an answer of the form (-∞, a) ∪ (b, ∞) is expressed (-∞, a)∪(b, ∞).
B. The rejection region for the standardized test statistic: (-∞, -2.5758293035489) ∪ (2.5758293035489, ∞)
C. The p-value is 0.16362510931288
D. Your decision for the hypothesis test:
A. Reject H1.
B. Reject H0.
C. Do Not Reject H1.
D. Do Not Reject H0.

Added by Rosa N.

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