An independent-measures research study compares two treatment conditions with n = 12 participants in each treatment. The first treatment has a mean of M = 55 with a variance of s? = 8, and the second treatment has M = 52 and s? = 4. Do these data indicate a significant difference between the two treatments? Use a two-tailed test with a = .05. (Note: Because the two samples are the same size, the pooled variance is simply the average of the two sample variances.) (Use three decimal places.) t-critical The results indicate: Failure to reject the null hypothesis; there is a significant difference in treatment means. Failure to reject the null hypothesis; there is no significant difference in treatment means. Rejection of the null hypothesis; there is a significant difference in treatment means. Rejection of the null hypothesis; there is no significant difference in treatment means.

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An independent-measures research study compares two treatment conditions with n = 12 participants in each
treatment. The first treatment has a mean of M = 55 with a variance of s? = 8, and the second treatment has M = 52
and s? = 4.
Do these data indicate a significant difference between the two treatments? Use a two-tailed test with a = .05.
(Note: Because the two samples are the same size, the pooled variance is simply the average of the two sample
variances.) (Use three decimal places.)
t-critical
The results indicate:
Failure to reject the null hypothesis; there is a significant difference in treatment means.
Failure to reject the null hypothesis; there is no significant difference in treatment means.
Rejection of the null hypothesis; there is a significant difference in treatment means.
Rejection of the null hypothesis; there is no significant difference in treatment means.
Transcribed Image Text:An independent-measures research study compares two treatment conditions with n = 12 participants in each treatment. The first treatment has a mean of M = 55 with a variance of s? = 8, and the second treatment has M = 52 and s? = 4. Do these data indicate a significant difference between the two treatments? Use a two-tailed test with a = .05. (Note: Because the two samples are the same size, the pooled variance is simply the average of the two sample variances.) (Use three decimal places.) t-critical The results indicate: Failure to reject the null hypothesis; there is a significant difference in treatment means. Failure to reject the null hypothesis; there is no significant difference in treatment means. Rejection of the null hypothesis; there is a significant difference in treatment means. Rejection of the null hypothesis; there is no significant difference in treatment means.
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