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Romashka [77]
2 years ago
7

Which number is equivalent to 3^4/3^2

Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0
\frac{ 3^{4} }{ 3^{2} }   First, take about the 3^{4} and 3^{2}
\frac{3 x 3 x 3 x 3}{3 x 3}   You can cancel out the two 3's on the bottom using two of the threes from the numerator
\frac{3 x 3}{1}   Simplify the fraction
3 x 3    Multiply
9
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Answer:

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Step-by-step explanation:

(a)

H0: Population mean = 8.46

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The left-sided critical value from t-distribution (two-tailed) is -2.01. Thus the test statistic falls in the rejection region and we reject the null hypothesis at 95% confidence level and conclude that the population mean is different from 8.46 inches.

(b)

There are the following four assumptions for a single sample t-test.

The observations are in ratio scale.

The observations have been taken in such a manner that every single observation is independent and uncorrelated from the others.

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(c)

The first assumption is true as the data is in inches. The second assumption cannot be tested now. It will depend upon the situation and study design which we assume as correct in this case. The third assumption is checked by plotting a box plot and finding the outliers. The final assumption can be checked using the Anderson-Darling normality test.

Kindly check the graphical table in the attached images below.

(d)

The data is normal (the p-value of Anderson-Darling test in > 0.05). However, two points in the Box plot are outliers though not grossly different from the entire sample data set. So, we conclude that the assumptions are valid in this case for conducting the t-test.

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