A CEO of a firm claims that the mean work day of the firm\'s accountants is less

Question

A CEO of a firm claims that the mean work day of the firm's accountants is less than 8.5 hours. A random sample of 35 of the firm's accountants has a mean work day of 8.2 hours with a standard deviation of 0.5 hour. At alpha = 0.01, test the CEO's claim? State the null and alternate hypotheses, and identify which represents the claim. Determine whether the hypothesis test is a left-tailed test, right tailed test, or two-tailed test Sketch a normal sampling distribution and shade the area for the P-value d. Calculate the P-value e. Compare the P-value with alpha Do you reject H_0 or do you fail to reject H_0? Interpret your decision From a random sample of 32 gas grills has a mean price of $630.90 and a standard deviation of $56.70. Construct a 91% confidence interval. Find a point estimate of the population mean price Verify that the conditions are met to construct an interval of confidence for the population mean price Calculate the standard of error Calculate the margin of error Interpret it Construct a 91 % confidence interval of the population mean price Interpret w hat does this interval of confidence mean. If we decrease the level of confidence, what would happen to margin of error? In a survey of 1006 adults from the US, 181 said that Abraham Lincoln was the greatest president. Find a point estimate for the population proportion of adults who say Abraham Lincoln was the greatest president. Verify that the conditions are met to construct an interval of confidence Calculate the standard of error Calculate the margin of error and interpret it Construct a 95 % confidence interval for the population proportion of adults who say Abraham Lincoln was the greatest president. Interpret what does this interval of confidence mean. If the interval of confidence for the population of proportions of registered voters who will vote for your candidate is (0.39, 0.47), then w hat would be sample proportion p be? If the interval of confidence for the population mean repair cost of a washing machine is (110,135), then what would be the margin of error ME?

Explanation / Answer

4.

Note that the sample proportion is the exact middle of the interval, so

p^ = (upper+lower)/2 = (0.47+0.39)/2 = 0.43 [ANSWER]

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5.

Note that

ME = (upper-lower)/2 = (135-110)/2 = 12.5 [ANSWER]

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