The sample space of a population being researched contains 58 values and a mean of 318.6. The population has a known standard deviation of 29.2. Identify the margin of error for a 95% confidence interval estimate of the mean of the population.

Margin of error M.E = 7.51

The 95% Confidence interval is = 318.6+/-7.51

= (311.09, 326.11)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

x+/-M.E

Given that;

M.E = margin of error

Mean x = 318.6

Standard deviation r = 29.2

Number of samples n = 58

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

318.6+/-1.96(29.2/√58)

318.6+/-1.96(3.834147839503)

318.6+/-7.514929765427

318.6+/-7.51

Margin of error M.E = 7.51

The 95% Confidence interval is = 318.6+/-7.51

= (311.09, 326.11)

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)