Assume that all grade-point averages are to be standardized on a scale between 0 and 4. how many grade-point averages must be obtained so that the sample mean is within 0.011 of the populationmean? assume that a 99% confidence level is desired. if using the range rule of thumb, σ can be estimated as range/4 = 4-0/4 = 1. (a) what is the required sample size? (b) does the sample size seem practical? explain why.

a) The required sample size is 54926

b) The sample size is not practical because it is too large to consider

Step-by-step explanation:

Given:

Sample mean = Margin of error, E = 0.011

Confidence level = 99%

Za= 100%-99%=1% => 0.01

Standard deviation, s.d =

a) For required sample size, n:

From the normal distribution table,

NORMSDIST(0.005)

= 2.5758

The required sample size will now be:

= [234.3636]²

= 54,926.314 => 54926

Sample size is approximatelty 54926

b) The sample size is not practical because it is too large to consider. It will be very hard to collect a sample data of almost 54926 subjects

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

900 degrees

step-by-step explanation: