Mathematics: In trying to determine whether air pollution causes reduction in children s lung health a researcher proposes to see if the lung volume of 10-year-old boys who live in high ozone pollution is significantly less than the lung volume of all 10-year-old boys. The mean volume for all 10-year-old boys is 2.05 liters. A random sample of 26 10-year-old boys who live in a community with high levels of ozone pollution is found to have a mean volume of 1.98 liters, with a sample standard deviation of 0.3

In trying to determine whether air pollution causes

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21.08.2021

The test statistic will be "-2.33". A further explanation is provided below.

Step-by-step explanation:

According to the question,

$H_0: \mu = 2.05$

$H_0: \mu < 2.05$

Given:

$\bar x = 1.98$

s = 0.3

n = 100

The test statistics will be:

⇒ $t_0 = \frac{\bar x - \mu_0}{\frac{s}{\sqrt{n} } }$

$=\frac{1.98-2.05}{\frac{0.3}{\sqrt{100} } }$

=-2.33

and the P-value will be:

= $0.011< \alpha$

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