The two data sets in the table below are dependent random samples. The population of (z-y) differences is approximately normally distributed. A claim is made that the mean diffe…

Question

asked Mar 11, 2024 146k views

The two data sets in the table below are dependent random samples. The population of (z-y)

differences is approximately normally distributed. A claim is made that the mean difference (z-y) is
greater than 1.9.
X
63 80 92 72 67 67 74 62
y 67 57 59 57 63 52 62 56
For each part below, enter only a numeric value in the answer box. For example, do not type "z" or "t="
before your answers. Round each of your answers to 3 places after the decimal point.
(a) Calculate the value of the test statistic used in this test.
Test statistic's value=
(b) Use your calculator to find the P-value of this test.
P-value=
(c) Use your calculator to find the critical value(s) used to test this claim at the 0.07 significance level. If
there are two critical values, then list them both with a comma between them.
Critical value(s) -
(d) What is the correct conclusion of this hypothesis test at the 0.07 significance level?
O There is sufficient evidence to support the claim that the mean difference is greater than 1.9
O There is sufficient evidence to warrant rejection the claim that the mean difference is greater than
1.9
O There is not sufficient evidence to warrant rejection the claim that the mean difference is greater
than 1.9
O There is not sufficient evidence to support the claim that the mean difference is greater than 1.9