The probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.3 inches is 39.54%.
Given mean diameter of 207, variance=9, sample size of 72.
We have to calculate the probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.3 inches.
The sample mean may be greater than or less than from population mean than 0.3 inches.
Either greater than 207+0.3=207.3 inches,
Smaller =207-0.3=206.7
Since the normal distribution is symmetric these probabilities are equal. So we find one of them and multiply by 2.
Probability of being less than 206.7
P value of z when X=206.7. So
Z=(X-μ)/s
=(206.7-207)/0.35
=-0.3/0.35
=-0.857
p value =0.1977
Probability of differing from population mean greater than 0.3 inches=2*0.1977
=0.3954
=39.54%
Hence the probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.3 inches is 39.54%.
Learn more about probability at brainly.com/question/24756209
#SPJ4
Answer:
m<1= 125
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
(3)
Given cosΘ = - 
Then by Pythagoras' theorem the third side is 3 ( 3,4, 5 triangle )
Since Θ in second quadrant then sinΘ > 0
sinΘ = 
Using the trigonometric identity
sin2Θ = 2sinΘcosΘ, then
sin2Θ = 2 × × - = - 
(4)
Using the trigonometric identity
cos(x - y) = cosxcosy + sinxsiny
note cos15° = cos(45 - 30)°
cos(45 - 30) = cos45cos30 + sin45sin30
= ( 
× 
) + ( × 
)
= 
Answer:
Sales tax is 6%
The cost of the oven is $362
Sales tax for the oven will be 6% of $362
=6/100 x $362
=0.06 x $362
=$21.72
Step-by-step explanation:
This was my answer for someone else question exactly like this :)
