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3 8 pts The amount of time students spend on a statistics assignment has a...

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3 8 pts The amount of time students spend on a statistics assignment has a standard deviation of o 11 minutes If we take a random sample of 36 students and they average 42 minutes on their assignment construct and interpret a 95 confidence interval estimating the true population average amount of time it takes to complete the assignment a What is the sample statistic x Sample statistic 42 minutes b Do we meet conditions of the Central Limit Theorem to be able to construct this confidence interval Explain why Yes we meet the conditions for the CLT because the sample size iis sufficiently large n 4 and both the random sample and population deviation is known This allows us to assume hat the sampling distribution of the sample mean is approximately normally distributed egardless of the distribution of the population c Write the confidence interval in the form x Za So I can see the values pieces of our formula written explicitly 42 1 96 6 38 40666667 45 59333333

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