Question

A new protein power company claims that the mean time to observe a 10% increase in muscle strength is 7 days with a standard deviation of 5.5 days. A random sample of 25 customers attempted to try this new protein powder. The mean time to find a 10% increase in muscle strength was found to be 9 days. Which of the following statistical test will you use for hypothesis testing? Independent t-test Dependent t-test One sample Z-test ANOVA

Answer 1

Here, we must use one sample z test for the first question.

Since the population standard deviation is known in this instance. According to the new protein powder firm, it takes an average of 7 days to add 10% more muscle, with a population standard variation of 5.5 days.

Here, keep in mind that the t test should be used if the population standard deviations are unknown and the z test should be used if the population standard deviations are known.

The second question requires that we test the hypothesis to determine whether the MoCA test differs between the days before and after several exposures to a new tool.

Here, a z-test with two samples was utilized. Once the hypothesis has been stated, the z Statistic

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