Research indicates the average reaction time to a certain stimulus is 1.47 seconds. Seven subjects have been injected with a drug. Their average reaction time is 1.69 seconds with a standard deviation of .93 seconds. Using a 1% level of significance, does this drug significantly affect the average time to the stimulus?

There is not enough evidence to conclude that the drug significantly affects the average time to the stimulus.

Step-by-step explanation:

Given:

Mean, u = 1.47

Sample mean, x' = 1.69

Sample size, n = 7

Standard deviation = 0.93

Significance level = 0.01

For null and alternative hypotheses:

H0 : u = 1.47

H1 : u ≠ 1.47

This is a two tailed test.

For the test statistic, tobserved, we have:

To find the pvalue:

Degree of freedom, df = n - 1 = 7-1 = 6

From table,

Pvalue = 0.5519

For critical value:

The critical value for significance level of 0.01, df = 6, 2 tailed test =

+3.707 & - 3.707

Decision rule: Reject null hypothesis H0, if Tobserved is greater than critical value.

If pvalue is less than significance level we reject H0.

Decision:

We fail to reject null hypothesis H0, since tobserved falls between +3.707 & -3.707.

Since p value 0.5519 is greater than significance level, 0.01, we fail to reject H0.

Conclusion:

There is not enough evidence to conclude that the drug significantly affects the average time to the stimulus.

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step-by-step explanation: