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angelica7773
10.11.2020 •
Mathematics
Suppose the weekly amount of money spent on maintenance and repairs by a company is NOT approximately normally distributed. However, its mean and standard deviation are known to be $400 and $20, respectively. If $450 is budgeted for next week, what can you say about the probability that the actual costs will exceed the budgeted amount
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Ответ:
Probability = 0.00621
Step-by-step explanation:
We are given;
Population mean; μ = 400
Population standard deviation; σ = 20
Raw score; x¯ = 450
the probability that the actual costs will exceed the budgeted amount will be the p-value.
Thus, let's first find the z-score after which we will find the p-value.
z = (x¯ - μ)/σ
z = (450 - 400)/20
z = 50/20
z = 2.5
From online p-value from z-score calculator attached, using z = 2.5; one tailed hypothesis; significance level of 0.05, we have;
P-value = 0.00621
Ответ:
Coordinates of X = (16,-15).