1. A sample size of 35 scores has a mean score of 85 points with a standard deviation of 3.25 points. Is there any statistical evidence that the grade population mean is less than 75 points (α = 5%)? Greater than 85 points (α = 10%)
2. A sample size of 49 students has a mean weight of 205 pounds with a standard deviation of 5.8 pounds. Find a 95% confidence interval for the weight population mean. Is there any statistical evidence that the weight population mean is less than 200 pounds (α = 1%)?
3. The following data represents the annual average salary ($) of a sample of nine Social Workers.
42,640
41,830
46,990
50,690
40,950
41,460
48,670
40,090
44,720
· If the data comes from a normally distributed population with µ = $48,920, Is there any statistical evidence that the average salary of Social Workers is less than $45,000 for a significance level of 10%?
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