Which values are solutions to the inequality below? Check all that apply. √x<8
1 answer:
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Answer:
and
Step-by-step explanation:
The null hypothesis states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form
In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form .
The alternative hypothesis states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms
The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use as his alternative hypothesis.
We want to find the value that makes
To find it we must look at the standard normal table, using the complementary cumulative table we find that
Then, using the z-score we can find the minimum score needed, remember that
Where
σ = standard deviation
μ = mean
And in our example, x = minimum score needed, therefore
Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.