Answer:
Point estimate for the population standard deviation = 0.048
Step-by-step explanation:
We are given that a sample of 6 sewing needles is randomly selected and the following diameters are measured in millimeters;
X X - X bar
0.95 0.95 - 1.005 = -0.055 0.003025
0.99 0.99 - 1.005 = -0.015 0.000225
1.04 1.04 - 1.005 = 0.035 0.001225
0.95 0.95 - 1.005 = -0.055 0.003025
1.05 1.05 - 1.005 = 0.045 0.002025
1.05 1.05 - 1.005 = 0.045 <u> 0.002025 </u>
<u> Total = 0.01155 </u>
Firstly, mean of the data above, X bar = = = 1.005
Standard deviation of data, S.D. =
= = 0.048
Therefore, point estimate for the population standard deviation is 0.048 .
Answer:
Step-by-step explanation:
Hello!
The population mean (μ) is a measure of central tendency, this means, it shows you the position of the distribution. Changing the value of the mean changes the position of the bell over the axis but there is no change in its shape. The three normal distribution have the same standard deviation (δ), so they will have the same shape and only their positions vary.
Graph attached.
I hope it helps!
Answer: it’s 88.5 aka answer B
Step-by-step explanation:
Answer:
perimeter = 8x+12
Step-by-step explanation:
perimeter of a rectangle = 2(Length + width)
= 2[(3x+5)+(x+1)]
=2( 3x+5+x+1)
=2(4x+6)
perimeter= 8x+12
Complete question :
When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the probability that car was mainly white was 0.24, the probability that it was mainly silver was 0.22, and the probability that it was mainly black was 0.19. In this region, are the events "silver" and "black" mutually exclusive:? Choose 1 answer
A) Yes
B) No
Find the probability that a randomly selected car from this region is mainly silver OR mainly black.
P (silver OR black)=
Answer:
Yes
0.410
Step-by-step explanation:
Given that:
P(white) = 0.240
P(silver) = 0.220
P(black) = 0.190
An event is mutually exclusive if it's occurrence will prevent the simultaneous occurrence of another. That is two or more events which cannot happen at the same time. When one is in play, then the other cannot occur and vice-versa. In the scenario given, the dominant color cannot be mainly black and silver or white at the same time in the same region.
Hence, events "silver" and "black" are mutually exclusive.
B.) probability of mainly silver or mainly black.
P (silver OR black) = p(silver) + p(black)
= 0.220 + 0.190
= 0.410