Question

(1 point) Suppose you want to test the claim the paired sample data given below come from a population for which the mean difference is ??=0μd=0.

x values - 77, 76, 87, 75, 88, 52, 90

y values - 64, 92, 85, 60, 57, 70, 75

Use a 0.05 significance level to find the following:
(a)    The mean value of the differences ?d for the paired sample data
?⎯⎯⎯=d¯=
(b)    The standard deviation of the differences ?d for the paired sample data
??=sd=
(c)    The t test statistic
?=t=
(d)    The positive critical value
?=t=
(e)    The negative critical value
?=t=
(f)    Does the test statistic fall in the critical region?

A. Yes
B. No

(g)    Construct a 95% conficence interval for the population mean of all differences ?−?x−y.
<??<<μd<

Answer 1