Question

You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places

Answer 1

The answer is "
`(32.8318736, 29.1681264)`"

Explanation:

When the
`95\%` of the confidence interval are true population means of the dog weight then:

`=\bar{x} \pm (\sigma )/(√(n)) * z_(0.05)\\\\=31 \pm (6.1)/(√(30))* 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)`