A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less than 7.0. What conclusion is appropriate in each of the following situations? n USE SALT (a) n = 6, t = -2.9, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (b) n = 13, t = -3.7, a = 0.01 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (c) n= 19, t = -1.4, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.

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A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is
less than 7.0. What conclusion is appropriate in each of the following situations?
In USE SALT
(a) n = 6, t = -2.9, a = 0.05
Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.
Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.
Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
(b) п %3D 13, t%3D -3.7, а
= 0.01
Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.
Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.
Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
(с) п %3D 19, t %3D —1.4, а 3D 0.05
Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.
Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.
Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
Transcribed Image Text:A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less than 7.0. What conclusion is appropriate in each of the following situations? In USE SALT (a) n = 6, t = -2.9, a = 0.05 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (b) п %3D 13, t%3D -3.7, а = 0.01 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (с) п %3D 19, t %3D —1.4, а 3D 0.05 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
(d) n = 9, t = 0.5, a = 0.05
Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.
Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0.
Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0.
(e) n = 9, x = 6.78,
= 0.0820
in
We would reject the null hypothesis for any significance level at or below 0.014.
We would reject the null hypothesis for any significance level at or above 0.014.
We would fail to reject the null hypothesis for any significance level at or below 0.986.
We would fail to reject the null hypothesis for any significance level at or above 0.986.
Transcribed Image Text:(d) n = 9, t = 0.5, a = 0.05 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (e) n = 9, x = 6.78, = 0.0820 in We would reject the null hypothesis for any significance level at or below 0.014. We would reject the null hypothesis for any significance level at or above 0.014. We would fail to reject the null hypothesis for any significance level at or below 0.986. We would fail to reject the null hypothesis for any significance level at or above 0.986.
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