A certain breed of rat shows a mean weight gain of 65g during the first 3 months of life. A random sample of 34 rats of this breed are fed a new diet from birth until age 3 months. These 34 rats have a mean weight gain of 60.75g and a standard deviation of 3.84g. We are interested in testing whether there is reason to believe, at the 0.05 significance level, that the new diet is causing a change in the average amount of weight gained in this breed of rats. By comparing the test statistic and the critical value, what conclusion can we draw at the 0.05 significance level? Since the test statistic is more extreme than the critical value, we reject the null hypothesis. We have statistically significant evidence to conclude that average weight gain during the first 3 months of a certain breed of rat's life on the new diet is not equal to 65g. Since the test statistic is NOT more extreme than the critical value, we fail to reject the null hypothesis. We do not have statistically significant evidence to conclude that average weight gain during the first 3 months of a certain breed of rat's life on the new diet is not equal to 65g.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A certain breed of rat shows a mean weight gain of 65g during the first 3 months of life. A random
sample of 34 rats of this breed are fed a new diet from birth until age 3 months. These 34 rats have
a mean weight gain of 60.75g and a standard deviation of 3.84g. We are interested in testing
whether there is reason to believe, at the 0.05 significance level, that the new diet is causing a
change in the average amount of weight gained in this breed of rats.
By comparing the test statistic and the critical value, what conclusion can we draw at the
0.05 significance level?
Since the test statistic is more extreme than the critical value, we reject the null hypothesis. We have
statistically significant evidence to conclude that average weight gain during the first 3 months of a
certain breed of rat's life on the new diet is not equal to 65g.
Since the test statistic is NOT more extreme than the critical value, we fail to reject the null
hypothesis. We do not have statistically significant evidence to conclude that average weight gain
during the first 3 months of a certain breed of rat's life on the new diet is not equal to 65g.
Transcribed Image Text:A certain breed of rat shows a mean weight gain of 65g during the first 3 months of life. A random sample of 34 rats of this breed are fed a new diet from birth until age 3 months. These 34 rats have a mean weight gain of 60.75g and a standard deviation of 3.84g. We are interested in testing whether there is reason to believe, at the 0.05 significance level, that the new diet is causing a change in the average amount of weight gained in this breed of rats. By comparing the test statistic and the critical value, what conclusion can we draw at the 0.05 significance level? Since the test statistic is more extreme than the critical value, we reject the null hypothesis. We have statistically significant evidence to conclude that average weight gain during the first 3 months of a certain breed of rat's life on the new diet is not equal to 65g. Since the test statistic is NOT more extreme than the critical value, we fail to reject the null hypothesis. We do not have statistically significant evidence to conclude that average weight gain during the first 3 months of a certain breed of rat's life on the new diet is not equal to 65g.
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