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kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. during a practice session, kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. at the 4% significance level, does the data provide sufficient evidence to conclude that kenneth's mean stacking time is less than 8.2 seconds? accept or reject the hypothesis given the sample data below.



Answer :

Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level [tex]\alpha = 0.04[/tex]

Given:

[tex]H_0: \mu = 8.2 \text{ seconds}, \, H_a: \mu < 8.2 \text{ seconds}[/tex]

[tex]\alpha = 0.04[/tex]

[tex]z_0 = -1.75[/tex]

[tex]p = 0.0401[/tex]

If p value is greater than level of significance alpha then we accept null hypothesis otherwise we reject null hypothesis.

Here [tex]p = 0.0401[/tex] which is greater than the alpha [tex]0.04[/tex], hence do not reject null hypothesis.

To learn more about hypothesis testing visit: brainly.com/question/17099835

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