Question

The following data represents shear strength X of test spot weld:
392, 376, 401, 367, 389, 362, 409, 415, 358, 375
(i) Assuming that X is normally distributed, estimate the true average and the standard
deviations of the shear strength using maximum likelihood method.
(ii) Obtain the MLE of P(X ≤ 400).

Answer 1

Step-by-step explanation:

The following data represents shear strength X of test spot weld:

392, 376, 401, 367, 389, 362, 409, 415, 358, 375

(i) Assuming that X is normally distributed, estimate the true average and the standard

deviations of the shear strength using maximum likelihood method.

(ii) Obtain the MLE of P(X ≤ 400).

Answer 2

The following data represents shear strength X of test spot weld:

The following data represents shear strength X of test spot weld:392, 376, 401, 367, 389, 362, 409, 415, 358, 375

The following data represents shear strength X of test spot weld:392, 376, 401, 367, 389, 362, 409, 415, 358, 375(i) Assuming that X is normally distributed, estimate the true average and the standard

The following data represents shear strength X of test spot weld:392, 376, 401, 367, 389, 362, 409, 415, 358, 375(i) Assuming that X is normally distributed, estimate the true average and the standarddeviations of the shear strength using maximum likelihood method.

The following data represents shear strength X of test spot weld:392, 376, 401, 367, 389, 362, 409, 415, 358, 375(i) Assuming that X is normally distributed, estimate the true average and the standarddeviations of the shear strength using maximum likelihood method.(ii) Obtain the MLE of P(X ≤ 400).