The standard deviation of political tolerance (measured on a 10 point scale) in a sample of 27 adults is 3.6. the sample mean is 7.4. test the null hypothesis that this sample is drawn from a population with a mean of 8.5 on the political tolerance measure (at α= .01).

We can conclude that sample is drawn from a population with a mean of 8.5 on the political tolerance measure at α= .01 (accept the null hypothesis)

Step-by-step explanation:

: mu=8.5

: mu≠8.5

Test statistic can be calculated using the equation:

t= where

Then t =  ≈−1.588

t-critical at  α= .01 and 26 degrees of freedom is 2.779

Since |t|=1.588 < 2.779, the result is not significant, we fail to reject the null hypothesis.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

mean, 40.6

step-by-step explanation: