Solve and answer this question Are the results between the two confidence intervals very different 27.2 hg < mu < 29.4 hg What is the confidence interval for the population mean mu?

Emeli Hagan 2020-11-08 Answered
Solve and answer this question Are the results between the two confidence intervals very different
27.2hg<μ<29.4hg
What is the confidence interval for the population mean μ?
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coffentw
Answered 2020-11-09 Author has 103 answers
From the provided information,
Sample size (n)=244
Sample mean (x)=28.3hg
Sample standard deviation (s)=7.1hg
Since, the population standard deviation is unknown, therefore, the t distribution will be used.
Confidence level =98%
Level of significance (α)=10.98=0.02
The degree of freedom = n – 1 = 244 – 1 = 243
The critical value of t at 243 degree of freedom with 0.01 level of significance from the t value table is 2.34.
The required 98% confidence interval can be obtained as:
CI=x±tα/2,n1Sn
=28.3±(2.34)7.1244
=28.3±1.1
=(27.2,29.4)
Thus, the confidence interval is 27.2<μ<29.4.
No, the results between the two confidence intervals are not very different.
The confidence interval limits are almost similar. Therefore, the correct option is B).
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