Construct the 95% confidence interval for the population mean using the appropriate distributions. a. A random sample of 50 people’s body mass index has a mean of 27.7 and a sta…

Question

asked Jun 4, 2020 47.1k views

1 Answer

Noobug · Answer 1 · 2020-06-11T11:15:55+0000

Answer: 95% confidence interval would be (26.01,29.39).

Explanation:

Since we have given that

n = 50

Mean = 27.7

Standard deviation = 6.12

We need to construct 95% confidence interval for the population.

so, z = 1.96

So, it becomes,

$\bar{x}\pm z* (\sigma)/(√(n))\\\\=27.7\pm 1.96* (6.12)/(√(50))\\\\=27.7 \pm 1.69\\\\=(27.7-1.69,27.7+1.69)\\\\=(26.01,29.39)$

Hence, 95% confidence interval would be (26.01,29.39).