An independent-measures research study uses two samples, each with n= 10 participants. if the data produce a t statistic of t = 2.095, which of the following is the correct decision for a two-tailed hypothesis test?
reject the null hypothesis with α = .05 but fail to reject with α = .01
fail to reject the null hypothesis with either α = .05 or α = .01
reject the null hypothesis with either α = .05 or α = .01
cannot answer without additional informations

The correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01

Step-by-step explanation:

Consider the provided information.

The size of sample 1 = n1 = 10

The size of sample 2 = n2 = 10

It is given that the test statistic is: t = 2.095

For  α = 0.05

ndf = n1 + n2 - 2

Substitute the respective values in the above formula.

ndf = 10 + 10 - 2 = 18

Two Tailed Test:

From the table, critical value of t = 2.1009

But the calculated value of t = 2.095 which is less than critical value of t = 2.1009, Fail to reject .  

For  α = 0.01

From the table, critical value of t = 2.8784

But the calculated value of t = 2.095 which is less than critical value of t = 2.8784, Fail to reject .  

Hence, the correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0