solution:
Given that, n=23, x̄= 68.1
σ= 12.1
(1–α)%=90%
α=0.10
α/2 =0.05
Zα/2 =1.645 ....from standard normal table.
Margin of error=E=Zα/2 ×(σ/✓n)
=1.645 ×(12.1/✓23)
=1.645 × 2.5230
=4.1503
Margin of error=E=4.1503
90% confidence interval for true population mean given as,
x̄± Margin of error
(68.1 - 4.1503,68.1- 4.1503)
(63.9497,72.2503)
(63.950,72.250 ) ....upto 3 decimal place.
63.950<μ<72.250
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