alaries for teachers in the US is skewed to the right, with μ = $55,000 and o= $2,530. Suppose a random sample of n = 36 eachers will be selected, the salary will be recorded for each teacher, and the sample mean will be computed. ased on the information provided, which option applies to the distribution of possible sample mean values? 0 O O 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

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Salaries for teachers in the US is skewed to the right, with µ = $55,000 and o = $2,530. Suppose a random sample of n = 36
teachers will be selected, the salary will be recorded for each teacher, and the sample mean will be computed.
Based 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).
Transcribed Image Text:Salaries for teachers in the US is skewed to the right, with µ = $55,000 and o = $2,530. Suppose a random sample of n = 36 teachers will be selected, the salary will be recorded for each teacher, and the sample mean will be computed. Based 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).
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