Question

The Sylvan Pharmaceutical Company makes tubes of antibacterial cream that are labeled as containing 4 oz. In testing the claim that the mean content amount is less than 4 oz., a P-value of 0.220 is obtained. What do you conclude?

Answer 1

Given a p-value of 0.220 in testing whether the mean content is less than 4 oz, we conclude there is insufficient evidence to reject the null hypothesis, suggesting that the tubes likely contain at least 4 oz of product.

Step-by-step explanation:

The question pertains to the correctness of a statistical claim made by Sylvan Pharmaceutical Company concerning their product's volume. A p-value of 0.220 was obtained when testing the hypothesis that the mean content of the tubes is less than 4 oz. The p-value indicates the probability that the observed data, or something more extreme, would occur if the null hypothesis were true. In this case, the null hypothesis is that the mean content is at least 4 oz. Since the p-value of 0.220 is quite high, typically one would not reject the null hypothesis at common significance levels (e.g., 0.05, 0.01). Therefore, we conclude that there is insufficient evidence to support the claim that the mean content is less than 4 oz.