Question

In: Statistics and Probability

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level...

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 6.7 ppm with a standard deviation of 1.1. Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.

Solutions

Expert Solution

Solution :

Given that,

Population mean = = 6.6

Sample mean = = 6.7

Sample standard deviation = s = 1.1

Sample size = n = 14

Level of significance = = 0.05

This is a two tailed test.

The null and alternative hypothesis is,

Ho: 6.6

Ha: 6.6

The test statistics,

t = ( - )/ (s/)

= ( 6.7 - 6.6 ) / ( 1.1 / 14)

= 0.34

p-value = 0.7392 ( using t distribution probability table)

The p-value is p = 0.7392 > 0.05, it is concluded that the null hypothesis is fail to reject.

Conclusion :

It is concluded that the null hypothesis Ho is fail to reject. Therefore, there is not enough evidence to claim that the level of

ozone normally found is 6.6 parts/million (ppm) at 0.05 significance level.


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