Confidence interval given. assume i created a 95% confidence interval for the mean hours studied for a test based on a random sample of 64 students. the lower bound of this interval was 4 and the upper bound was 14. assume that when i created this interval i knew the population standard deviation. using this information, (a) calculate the width of the interval. (b) calculate the margin of error for the interval. (c) calculate the center of the interval. (d) what is the sample mean? (e) what is the z ∗ (or zα/2) used? (f) calculate the population standard deviation. [

Step-by-step explanation:

Given that confidence Interval Given. Assume I created a 95% confidence interval for the mean hours studied for a test based on a random sample of 64 students.

Lower bound =4

Upper bound =14

Hence mid value = Mean =

a) Width of interval =upper bound -Lower bound =

b) Margin of error =

c) Center of interval =average =9

d) Sample mean = center of interval =9

e) Z value for 95% would be

f) Population std deviation = Margin of error/Z value

=

the answer is b.)

< 1=< 2

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.