Question

To test Upper H 0​: muequals20 versus Upper H 1​: muless than20​, a simple random sample of size nequals17 is obtained from a population that is known to be normally distributed. Answer parts​ (a)-(d). LOADING... Click here to view the​ t-Distribution Area in Right Tail. ​(a) If x overbarequals18.3 and sequals4.5​, compute the test statistic. tequals nothing ​(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? A. A symmetric bell-shaped curve is plotted over a horizontal axis. On the left side of the graph, a vertical line runs from the axis to the curve. The area under the curve to the left of the vertical line is shaded. B. A symmetric bell-shaped curve is plotted over a horizontal axis. Two vertical lines, equidistant from the curve's peak at the center, extend from the axis to the curve on the left and right sides of the graph. The areas under the curve to the left of the left vertical line and to the right of the right vertical line are shaded. C. A symmetric bell-shaped curve is plotted over a horizontal axis. On the right side of the graph, a vertical line runs from the axis to the curve. The area under the curve to the right of the vertical line is shaded. ​(c) Approximate the​ P-value. Choose the correct range for the​ P-value below. A. 0.15 less than Upper P dash value less than 0.20 B. 0.05 less than Upper P dash value less than 0.10 C. 0.10 less than Upper P dash value less than 0.15 D. 0.20 less than Upper P dash value less than 0.25 ​(d) If the researcher decides to test this hypothesis at the alphaequals0.05 level of​ significance, will the researcher reject the null​ hypothesis? A. The researcher will reject the null hypothesis since the Upper P dash value is less than alpha . nothing B. The researcher will reject the null hypothesis since the​ P-value is not less than alpha . C. The researcher will not reject the null hypothesis since the​ P-value is less than alpha . D. The researcher will not reject the null hypothesis since the Upper P dash value is not less than alpha . Click to select your answer(s).

Answer 1

a)

test statistic =-1.56

b)

c)

0.05 < p value 0.10

d)

D. The researcher will not reject the null hypothesis since the P value is not less than alpha