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Hi, I need help with essay on Statistics Problems-Week 5. Paper must be at least 500 words. Please, no plagiarized work!

that the mean SAT score in Mathematics for 11th graders across the nation is 500, and that the standard deviation is 100 points.&nbsp. Find the probability that the mean SAT score for a randomly selected group of 150 11th graders is between 480 and 520.

6. A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children.

A sample of 155 was taken, and the mean amount spent was $209.67. Assuming a standard deviation equal to $48.79, find the 99% confidence interval for m, the mean for all such families (show all

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