Answer:
Option 1 is correct.
-5
Step-by-step explanation:
Given:
The given expression is.
Write the given expression in simplest form.
Add negative term of y.
The simplest form of given expression is
Therefore, the coefficient of the variable term is -5
Answer:
PQ = 20
Step-by-step explanation:
Theorem: The length of the median of a trapezoid is the average of the base lengths.
PQ + 12 = 32
PQ = 20
See how easy that is if you know the theorem!
Answer:
The sample does not contradicts the manufacturer's claim.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 200 mg
Sample mean, = 211.5 mg
Sample size, n = 20
Alpha, α = 0.05
Sample standard deviation, s = 18.5 mg
a) First, we design the null and the alternate hypothesis for a two tailed test
We use Two-tailed t test to perform this hypothesis.
b) Formula:
Putting all the values, we have
c) Now,
Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.
Thus, the sample does not contradicts the manufacturer's claim.
d) P-value = 0.011934
Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.
Yes, both approach the critical value and the p-value approach gave the same results.