Answer:
B.
The third term in the sequence has a value of 1.
Answer:
Piper's claim is not correct.
Step-by-step explanation:
3(2(-3)+2) = 5(-3)+6
3(-6+2) = -15 + 16
-18 + 6 = 1
-12 = 1
Answer:
Yes, both np and n(1-p) are ≥ 10
Mean = 0.12 ; Standard deviation = 0.02004
Yes. There is a less than 5% chance of this happening by random variation. 0.034839
Step-by-step explanation:
Given that :
p = 12% = 0.12 ;
Sample size, n = 263
np = 263 * 0.12 = 31.56
n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44
According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004
Z = (x - mean) / standard deviation
x = 22 / 263 = 0.08365
Z = (0.08365 - 0.12) / 0.02004
Z = −1.813872
Z = - 1.814
P(Z < −1.814) = 0.034839 (Z probability calculator)
Yes, it is unusual
0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.
Considering the hypothesis tested and the p-value of the test, the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:
H₀:Hₓ-H
At the alternative hypothesis it is tested if there is a difference, hence:
H₀:Hₓ-H≠0
The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
More can be learned about hypothesis tests at brainly.com/question/26454209
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