What are the values of the mean and standard deviation of a standard normal distribution?
1 answer:
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Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.
Since, perimeter is the total length of the outer boundary of the figure. Therefore,
Perimeter of the polygon is
Area of the polygon = Area of Rectangle + Area of Triangle
Answer:
d. No because n·(1 - ) = 8.96 is less than 10
Step-by-step explanation:
Question options;
a. Yes because the sample sizes of both groups are greater than 5
b. Yes, because in both cases n· > 10
c. Yes, because we know that the population is evenly distributed
d. No, because the n·(1 - ) is less than 10
Explanation;
The given data are;
The number of men in the sample of men, n₁ = 41
The proportion of men who dislike anchovies, = 0.67
The number of women in the sample of women, n₂ = 56
The proportion of men who dislike anchovies, = 0.84
The assumptions for an analysis of the difference between means using a T-test are;
1) The data should be from a random sample of the population
2) The variables should be approximately normal (n· ≥ 10, and n·(1 -
) ≥ 10)
3) The scale of the data is a continuous ordinance scale
4) The sample size should be large
5) The sample standard deviations should be approximately equal
From the requirement for normality, we have;
For the sample of men, n₁·₁ = 41 × 0.67 = 24.47 > 10
n₁·(1 - ₁) = 41 × (1 - 0.67) = 13.53 > 10
For the sample of women, n₂·₂ = 56 × 0.84 = 47.04 > 10
n₂·(1 - ₂) = 56 × (1 - 0.84) = 8.96 < 10
Therefore, the for n₂·(1 - ₂), the sample does not meet the requirement for normality
The correct option is d. No because n₂·(1 - ₂) = 8.96 is less than 10