A random sample of 18 size aa batteries for toys yield a mean of 3.74 hours with standard deviation, 0.63 hours. (a) find value of t (the multiplier) that would be used to create a 99% ci. t = (b) find the margin of error for a 99% ci.

a) t = 2.8982

b) 1.826

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of ). So we have T = 2.8982. This is the answer for a.

The margin of error is:

M = T*s = 2.8982*0.63 = 1.826

In which s is the standard deviation of the sample.

the last choice

step-by-step explanation:

∠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.