prices of a 16 oz latte are not normally distributed, with µ = $4.00 and o= $0.75. Suppose a random sample of n = 90 will elected, the price will be recorded for each latte, and the sample mean will be computed. ed on the information provided, which option applies to the distribution of possible sample mean values? The distribution of all possible sample mean values is normal because the population distribution of responses is normal. The distribution of all possible sample mean values is unknown because the sample size is not large enough and the population distribution of responses is not normal. The distribution of all possible sample mean values is approximately normal because the sample size n is large enough (at least 10 successes and at least 10 failures). The distribution of all possible sample mean values is approximately normal because the sample size n is large enough (larger than 25).

MATLAB: An Introduction with Applications
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The prices of a 16 oz latte are not normally distributed, with µ = $4.00 and o= $0.75. Suppose a random sample of n = 90 will
be selected, the price will be recorded for each latte, and the sample mean will be computed.
Based on the information provided, which option applies to the distribution of possible sample mean values?
n The distribution of all possible sample mean values is normal because the population distribution of responses is
normal.
The distribution of all possible sample mean values is unknown because the sample size is not large enough and the
population distribution of responses is not normal.
The distribution of all possible sample mean values is approximately normal because the sample size n is large
enough (at least 10 successes and at least 10 failures).
The distribution of all possible sample mean values is approximately normal because the sample size n is large
enough (larger than 25).
Transcribed Image Text:The prices of a 16 oz latte are not normally distributed, with µ = $4.00 and o= $0.75. Suppose a random sample of n = 90 will be selected, the price will be recorded for each latte, and the sample mean will be computed. Based on the information provided, which option applies to the distribution of possible sample mean values? n The distribution of all possible sample mean values is normal because the population distribution of responses is normal. The distribution of all possible sample mean values is unknown because the sample size is not large enough and the population distribution of responses is not normal. The distribution of all possible sample mean values is approximately normal because the sample size n is large enough (at least 10 successes and at least 10 failures). The distribution of all possible sample mean values is approximately normal because the sample size n is large enough (larger than 25).
Expert Solution
Step 1

Given  that 

Sample size n =16

Population mean =4

Population standard deviation =0.75

 

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