It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is a .95 probability that the sample mean will provide a margin of error of a. 7.84 b. 31.36 c. 344.96 d. 1,936
Answers
There is a 0.95 probability that the sample mean will provide a margin of error of 7.84.
What is mean by Probability?
The term probability refers to the likelihood of an event occurring.
Given that;
The variance of a population = 1,936
And, A random sample of 121 has been taken from the population.
Now,
Since, Standard deviation = √ Variance
= √1,936
= 44
Hence, The standard error = 44 / √121
= 44 /11
= 4
We know that;
The critical z factor for a confident interval of 0.95 = ± 1.96
Thus, The sample mean will provide a margin of error = 4 × 1.96
= 7.84
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Answer:
It is known that the variance of a popualtion equals 1,936.
Step-by-step explanation:
That should be correct!!!
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2
Step-by-step explanation:
You have to divide 3/4 by 3/8
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24/12 = 2
Answer:
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Step-by-step explanation:
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In geometry, a circle's diameter is any straight line segment whose endpoint is on the circle and which passes through its centre. Another name for it is the circle's longest chord. The diameter of a sphere can be defined using either idea. The diameter is the length of the line perpendicular to the two points at either end of the circle. If you think of length as the distance between two points, then diameter is length. The diameter of a circle is the separation between its two farthest points.
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and
−1
, and whose leading coefficient is
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Fundamental Theorem of Algebra essentially states that all polynomials can be reduced down to the product of their roots.
Answers
Answer:
22.66% probability that the mean weight will exceed 3.81 ounces
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the mean weight will exceed 3.81 ounces
This probability is 1 subtracted by the pvalue of Z when X = 3.81. So
By the Central Limit Theorem
has a pvalue of 0.7734
1 - 0.7734 = 0.2266
22.66% probability that the mean weight will exceed 3.81 ounces
Answer:
Correct answer is 0.2290
Step-by-step explanation:
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x = +- 16