To test H0: μ = 20 versus H1: μ < 20, a simple random sample of size n = 17 is obtained from a p

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Hi, I'm David and I'm here to help you answer your question. Now let me bring up your question h

Question

To test $H_0: \mu = 20$ versus $H_1: \mu < 20$, a simple random sample of size $n = 17$ is obtained from a population that is known to be normally distributed. Answer parts (a)-(d) Click here to view the $t$-Distribution Area in Right Tail (a) If $\bar{x} = 18.3$ and $s = 4$, compute the test statistic. $t = \boxed{} $(Round to two decimal places as needed.) (b) Draw a $t$-distribution with the area that represents the $P$-value shaded. Which of the following graphs shows the correct shaded region? (c) Approximate the $P$-value. Choose the correct range for the $P$-value below A. $0.15 < P\text{-value} < 0.20$ B. $0.05 < P\text{-value} < 0.10$ C. $0.025 < P\text{-value} < 0.05$ D. $0.10 < P\text{-value} < 0.15$ (d) If the researcher decides to test this hypothesis at the $\alpha = 0.05$ level of significance, will the researcher reject the null hypothesis? A. The researcher will reject the null hypothesis since the $P$-value is not less than $\alpha$. B. The researcher will reject the null hypothesis since the $P$-value is less than $\alpha$. C. The researcher will not reject the null hypothesis since the $P$-value is less than $\alpha$.

          To test $H_0: \mu = 20$ versus $H_1: \mu < 20$, a simple random sample of size $n = 17$ is obtained from a population that is known to be normally distributed. Answer parts (a)-(d)
Click here to view the $t$-Distribution Area in Right Tail
(a) If $\bar{x} = 18.3$ and $s = 4$, compute the test statistic.
$t = \boxed{}
$(Round to two decimal places as needed.)
(b) Draw a $t$-distribution with the area that represents the $P$-value shaded. Which of the following graphs shows the correct shaded region?
(c) Approximate the $P$-value. Choose the correct range for the $P$-value below
A. $0.15 < P\text{-value} < 0.20$
B. $0.05 < P\text{-value} < 0.10$
C. $0.025 < P\text{-value} < 0.05$
D. $0.10 < P\text{-value} < 0.15$
(d) If the researcher decides to test this hypothesis at the $\alpha = 0.05$ level of significance, will the researcher reject the null hypothesis?
A. The researcher will reject the null hypothesis since the $P$-value is not less than $\alpha$.
B. The researcher will reject the null hypothesis since the $P$-value is less than $\alpha$.
C. The researcher will not reject the null hypothesis since the $P$-value is less than $\alpha$.

To test H0: μ = 20 versus H1: μ < 20, a simple random sample of size n = 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d)
Click here to view the t-Distribution Area in Right Tail
(a) If x̅ = 18.3 and s = 4, compute the test statistic.
t =(Round to two decimal places as needed.)
(b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region?
(c) Approximate the P-value. Choose the correct range for the P-value below
A. 0.15 < P-value < 0.20
B. 0.05 < P-value < 0.10
C. 0.025 < P-value < 0.05
D. 0.10 < P-value < 0.15
(d) If the researcher decides to test this hypothesis at the α = 0.05 level of significance, will the researcher reject the null hypothesis?
A. The researcher will reject the null hypothesis since the P-value is not less than α.
B. The researcher will reject the null hypothesis since the P-value is less than α.
C. The researcher will not reject the null hypothesis since the P-value is less than α.

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