The escape time (sec) for oil workers in a simulated exercise, gave the sample mean 370.69, sample standard deviation 24.36, and number of observations as n =26. Suppose the investigators had believed a priori that true average escape time would be at most 6 minutes. Does the data contradict this prior belief? Assuming normality, test the appropriate hypothesis using a significance level of .05.

Null hypothesis:      

Alternative hypothesis:      

The statistic is given by:

(1)      

Replacing the info we got:

And for this case the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is at most 6 minutes

Step-by-step explanation:

Information given

represent the sample mean

represent the standard deviation for the sample    

sample size      

represent the value to verify

represent the significance level

t would represent the statistic

represent the p value

System of hypothesis

We want to test if the true mean is at least 6 minutes, the system of hypothesis would be:      

Null hypothesis:      

Alternative hypothesis:      

The statistic is given by:

(1)      

Replacing the info we got:

The degrees of freedom are:

The p value would be given by:

And for this case the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is at most 6 minutes.

the correct answer is 828.07

quit

step-by-step explanation: