The sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.
<h3>What are population and sample?</h3>
It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
We have:
A sample has a sample proportion of 0.3.
Level of confidence = 95%
At the same confidence level, the larger the sample size, the narrower the confidence interval.
As we have a 95% confidence interval the sample size should be lower.
The sample size from the option = 36 (lower value)
Thus, the sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.
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Answer:
Step-by-step explanation:
∵ When x is a random variable having distribution B(n, p), then for sufficiently large value of n, the following random variable has a standard normal distribution,
Where,
Here the variable X has a binomial distribution,
Such that, np (1 - p) ≥ 10 ⇒ n is sufficiently large.
Where, n is the total numbers of trials, p is success in each trials,
So, the mean of variable X is,
And, variance of variable X is,
Answer:
False
Step-by-step explanation:
an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Answer:
She had eaten 15 chocolates.
Step-by-step explanation:
