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 .