I WILL MARK BRAINLIEST J PLS ANSWER
1 answer:
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Answer:
The sample size is
Step-by-step explanation:
From the question we are told that
The margin of error is E =4.266
The standard deviation is
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the sample size is mathematically represented as
=>
=>
Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a sample size larger than 30 can be approximated to a normal distribution with mean
and standard deviation
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.