The probability that the sample mean will be between 89.17 and 101.05 is: 0.940091407
A sample mean is a data set's average. A data set's central tendency, standard deviation, and variance may all be calculated using the sample mean.
The sample mean may be used to calculate population averages, among other things.
The information given are as follows:
μ = 94,
σ = 18
Where Χ = Sample Mean
hence P (89.17 < X< 101.05) =
P [[tex]\frac{89.17 -94}{18/\sqrt{36} } \leq \frac{X -mu}{sd/\sqrt{xn} } \leq \frac{101.5-94}{18/\sqrt{36} }[/tex]]
= P [ -1.61 ≤ Z ≤ 2.5]
= P (Z ≤ -1.61) - P (Z ≤ 2.5)
= NORMSIDST (-1.61) - NORMSDIST (2.5)
= 0.053698928 - 0.993790335
= -0.940091407
Since probability cannot be negative,
The probability that the sample mean will be between 89.17 and 101.05 is: 0.940091407
Learn more about sample mean at;
https://brainly.com/question/7597734
#SPJ1
