Answer:
The correct option is B.
Step-by-step explanation:
The value of μ is
[tex]\mu=\overline{X}\pm z\times \frac{\sigma}{\sqrt{n}}[/tex]
Where, [tex]\overline{X}[/tex] is sample mean of the data, z represents the z-score, σ is standard deviation, and n is numbers of samples.
The standard deviation of the sample is 26.1. A sample space of 35 items has a mean of 562. construct a 90% confidence interval estimate of the mean of the population.
From the z-table the value of z at 90% confidence interval with 34 degree of freedom is 1.691.
[tex]\mu=562\pm 1.691\times \frac{26.1}{\sqrt{35}}[/tex]
[tex]\mu=562\pm 1.691\times 4.41170521[/tex]
[tex]\mu=562\pm 7.46[/tex]
[tex]\mu=562\pm 7.46[/tex]
[tex]554.54<\mu<569.46[/tex]
[tex]555<\mu<569[/tex]
Therefore option B is correct.
