Determine the sample size taken from a normal distribution N(M, 25) to get length of interval of 4 using 90\% confidence level for the mean.

UkusakazaL

UkusakazaL

Answered question

2021-08-07

Determine the sample size taken from a normal distribution N(M, 25) to get length of interval of 4 using 90% confidence level for the mean.

Answer & Explanation

Ian Adams

Ian Adams

Skilled2021-08-16Added 163 answers

Step 1
Here we need to find the required sample size.
Step 2
Here it is given that the sample is taken from N(M,25).
Here we need to determine the sample size.
We know n=(zα2×6E)2.
At 90% confidence level zα2=1.645
Also, E=length2=42=2,6=5
n=(1.645×52)2=16.912
17
Sample size n=17

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