## A sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters. Give a point estimate for th

Question

A sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters. Give a point estimate for the population standard deviation. Round your answer to three decimal places. 1.48,1.45,1.54,1.52,1.52

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2021-09-22T01:50:05+00:00
2021-09-22T01:50:05+00:00 2 Answers
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## Answers ( )

Answer:And for the deviation we have:

And that value represent the best estimator for the population deviation since:

Step-by-step explanation:For this case we have the following data:

1.48,1.45,1.54,1.52,1.52

The first step for this cae is find the sample mean with the following formula:

And replacing we got:

And now we can calculate the sample variance with the following formula:

And replacing we got:

And for the deviation we have:

And that value represent the best estimator for the population deviation since:

Answer:Point estimate for the population standard deviation = 0.036Step-by-step explanation:We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters;

X X – X bar1.48 1.48 – 1.502 = -0.022 0.000484

1.45 1.45 – 1.502 = -0.052 0.002704

1.54 1.54 – 1.502 = 0.038 0.001444

1.52 1.52 – 1.502 = 0.018 0.000324

1.52 1.52 – 1.502 = 0.018

0.000324Total = 0.00528Firstly, mean of the data above, X bar = = = 1.502

Standard deviation of data, S.D. =

= = 0.036

Therefore, point estimate for the population standard deviation is 0.036 .