Answer:
8.53%.
Step-by-step explanation:
We must calculate the value of z, which is defined by the following formula:
z (x) = (x - m) / [sd / sqrt (n)]
Where x is the value of the variable (188.58), m is the mean (200), sd is the standard deviation (25), and the population size is n (9).
Having the values we replace and we are left with:
z (188.58) = (188.58 - 200) / [25 / sqrt (9)]
z (188.58) = -1.3704
If we look for this value in the table of z (attached), we have that the probability would be: approximately 0.0853 or 8.53%.
Answer:
Probability = 0.1039
Step-by-step explanation:
To solve this problem, we have to find the t- value.
From the question,
Mean; μ = 200
Standard deviation; σ = 25
N = 9
Distribution of the t statistic (also known as the t score), whose values are given by:
t(x) = (x - μ)/ [σ/√(n)]
x = sample mean
μ = Population mean
n = sample size
σ = standard deviation
In this question,
x = 188.58
μ = 200
n = 9
σ = 25
Plugging in these values, we now have;
t(188.58) = (188.58 - 200)/ [25/√(9)]
t(188.58) = -1.3704
Now, Degree of Freedom is given by,
DF = n - 1
So,DF = 9 - 1 = 8
So,for P(x < 188.58) with degree of freedom of 8 and and t value as -1.3704, from the t-distribution table and online calculator, we have a value of 0.1039
