Identify the variable expression that is not a polynomial.
2 answers:
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Answer:
Correct option is (C).
Step-by-step explanation:
The <em>p</em>-value is well defined as the probability, [under the null-hypothesis (H₀)], of attaining a result, of a statistical hypothesis test, equivalent to or greater than what was the truly observed.
A small <em>p</em>-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (H₀), so you reject the null hypothesis.
A large <em>p</em>-value (> 0.05) specifies fragile proof against the H₀, so you fail to reject the null hypothesis.
A nutritionist is concerned that the true average calorie count in the french fries served by a fast-food restaurant is higher than 120 calories.
The hypothesis to test this can be defined as:
<em>H₀:</em><em> </em>The true average calorie count in the french fries is 120 calories, i.e. <em>μ</em> = 120.
<em>Hₐ:</em><em> </em>The true average calorie count in the french fries is more than 120 calories, i.e. <em>μ</em> > 120.
The test statistic is:
The sample mean calories in the sample of 35 small orders of french fries is,
And the <em>p</em>-value is,
<em>p</em>-value = 0.00093
The <em>p</em>-value can be interpreted as the probability of getting a sample of 155.6 calories or greater when the population mean is 120 calories.
That is,
The <em>p</em>-value can also be interpreted as probability of getting a sample of 84.4 calories or less when the population mean is 120 calories.
*
*Since the normal distribution is symmetric the P (Z < -z) = P (Z > z).
So,
Thus, the correct option is (C).
The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get
. Similarly, we get the improper fraction
for converting the mixed fraction
.
Step 2; After conversion, it's just a matter of division. The fraction equals 4.25 while the denominator
equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
