To testH0: σ=2.2versusH1: σ2.2,a random sample of sizen=17is obtained from a population that is known to be normally distributed. Complete parts (a) through (d).(a) If the sample standard deviation is determined to bes=2.4,compute the test statistic. χ20=nothing(Round to three decimal places as needed.)(b) If the researcher decides to test this hypothesis at theα=0.01level of significance, determine the critical value. χ20.01=nothing(Round to three decimal places as needed.)(c) Draw a chi-square distribution and depict the critical region. 3219.04 A graph has a horizontal axis with two labeled coordinates at 19.04 and 32 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There are two vertical lines that extend from the horizontal axis to the curve. The leftmost line is at 19.04 and is to the right of the peak. The rightmost line is at 32 and is to the right of the peak. The region under the curve to the right of the rightmost line is shaded. 5.81232.000 A graph has a horizontal axis with two labeled coordinates at 5.812 and 32.000 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There are two vertical lines that extend from the horizontal axis to the curve. The leftmost line is at 5.812 and is to the left of the peak. The rightmost line is at 32.000 and is to the right of the peak. The regions under the curve between the vertical axis and the leftmost line and to the right of the rightmost line are shaded. 5.81232.000 A graph has a horizontal axis with two labeled coordinates at 5.812 and 32.000 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There are two vertical lines that extend from the horizontal axis to the curve. The leftmost line is at 5.812 and is to the left of the peak. The rightmost line is at 32.000 and is to the right of the peak. The region under the curve between the vertical axis and the leftmost line is shaded. 3219.04 A graph has a horizontal axis with two labeled coordinates at 19.04 and 32 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There are two vertical lines that extend from the horizontal axis to the curve. The leftmost line is at 19.04 and is to the right of the peak. The rightmost line is at 32 and is to the right of the peak. The region under the curve between the two vertical lines is shaded.(d) Will the researcher reject the null hypothesis? Do not rejectH0becauseχ20χ20.01. Do not rejectH0becauseχ20χ20.01. RejectH0becauseχ20

Name: To testH0: σ=2.2versusH1: σ>2.2,a random sample of sizen=17is obtaine
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: To testH0: σ=2.2versusH1: σ>2.2,a random sample of sizen=17is obtained from a population that is known to be normally distributed. Complete parts (a) through (d).(a) If the sample standard deviation is determined to bes=2.4,compute the test stat

Question

To testH0: σ=2.2versusH1: σ>2.2,a random sample of sizen=17is obtained from a population that is known to be normally distributed. Complete parts (a) through (d).(a) If the sample standard deviation is determined to bes=2.4,compute the test statistic. χ20=nothing(Round to three decimal places as needed.)(b) If the researcher decides to test this hypothesis at theα=0.01level of significance, determine the critical value. χ20.01=nothing(Round to three decimal places as needed.)(c) Draw a chi-square distribution and depict the critical region. 3219.04 A graph has a horizontal axis with two labeled coordinates at 19.04 and 32 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There are two vertical lines that extend from the horizontal axis to the curve. The leftmost line is at 19.04 and is to the right of the peak. The rightmost line is at 32 and is to the right of the peak. The region under the curve to the right of the rightmost line is shaded. 5.81232.000 A graph has a horizontal axis with two labeled coordinates at 5.812 and 32.000 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There are two vertical lines that extend from the horizontal axis to the curve. The leftmost line is at 5.812 and is to the left of the peak. The rightmost line is at 32.000 and is to the right of the peak. The regions under the curve between the vertical axis and the leftmost line and to the right of the rightmost line are shaded. 5.81232.000 A graph has a horizontal axis with two labeled coordinates at 5.812 and 32.000 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There are two vertical lines that extend from the horizontal axis to the curve. The leftmost line is at 5.812 and is to the left of the peak. The rightmost line is at 32.000 and is to the right of the peak. The region under the curve between the vertical axis and the leftmost line is shaded. 3219.04 A graph has a horizontal axis with two labeled coordinates at 19.04 and 32 and an unlabeled vertical axis. The graph contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There are two vertical lines that extend from the horizontal axis to the curve. The leftmost line is at 19.04 and is to the right of the peak. The rightmost line is at 32 and is to the right of the peak. The region under the curve between the two vertical lines is shaded.(d) Will the researcher reject the null hypothesis? Do not rejectH0becauseχ20<χ20.01. RejectH0becauseχ20>χ20.01. Do not rejectH0becauseχ20>χ20.01. RejectH0becauseχ20<χ20.01.

Accepted Answer

A Chi-Square test for one population variance is a hypothesis that attempts to make a claim about…