## 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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3 weeks 2021-09-22T01:50:05+00:00 2 Answers 0 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: Point estimate for the population standard deviation = 0.036

Step-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 bar 1.48                   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                 0.000324

Total = 0.00528

Firstly, 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 .