Question

What is the R code to compare the performance of x̄ and p̂ for x = 5, 10 and standard deviation = 1, 2, 6? Calculate the MSE values for x̄ and x̃ for 6 cases. Repeat this 1000 times for the given n values.

          What is the R code to compare the performance of x̄ and p̂ for x = 5, 10 and standard deviation = 1, 2, 6? Calculate the MSE values for x̄ and x̃ for 6 cases. Repeat this 1000 times for the given n values.
        

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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What is the R code to compare the performance of x̄ and p̂ for x = 5, 10 and standard deviation = 1, 2, 6? Calculate the MSE values for x̄ and x̃ for 6 cases. Repeat this 1000 times for the given n values.
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Transcript

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00:01 Hello students in this question given probability of x greater than phi is equal to 0 .9772.
00:07 So now probability of x less than phi means 1 minus 0 .9772.
00:14 So that is equal to 0 .0228.
00:18 So this can be written as probability of x minus mu divided by sigma is less than phi minus mu divided by sigma and that is equal to 0 .0228.
00:31 So now from the standard normal table, we get phi minus mu divided by sigma is approximately equal to minus 2.
00:42 That is probability of x minus mu divided by sigma less than minus 2 is equal to 0 .0228.
00:52 So now this can be written as phi minus mu is equal to minus 2 sigma.
00:57 Let us consider this as equation 1 and next let us consider probability of x minus mu divided by sigma less than 10 minus mu divided by sigma is equal to 0 .9987.
01:14 So now from the standard normal table probability of this is z or x minus mu divided by sigma less than 3 is equal to 0 .9987.
01:30 That means 10 minus mu divided by sigma is equal to 3 and this can be written as 10 minus mu divided by 3 sigma is equal to 10 minus mu is equal to 3 sigma...
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