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The quality-control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 385 hours. The population standard deviation is 84 hours. A random sample of 49 light bulbs indicates a sample mean life of 367 hours.
A: at the 0.05 level of significance, is there evidence that the mean life is different from 385 hours?
B: Compute the p-value and interpret its meaning
C: Construct a 95% confidence interval estimate of the population mean life of light bulbs
D: Compare results of (a) and (c). What conclusions do you reach?
a) no meaningful conclusions can be reached
b) the results of (a) and (c) are no the same
c) the results of (a) and (c) are the same
Compute the five number System for this data set and list Xmin,Q1,Q2,Q3 & Xmax. See Videos and show how the pointer was computed for each quartile. (15%)
Find the probability of accepting a lot as a function of the actual fraction of defective chips. In particular, let the actual fraction of defective chips in a given lot equal any of 0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18. Then compu..
The mean difference in total cholesterol levels (after - before) was 27.138 mg/dL with a standard deviation of 7.3685 mg/dL. Create a 95% confidence interval for the true average difference in cholesterol levels by the drug.
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Using this data, is there enough evidence that the average depth of the ice sheet is below 3140 m? Assume that the depth of the ice sheet is normally dstributed. Use a test of hypotheses of level alpha = 0.05.
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Popcorn kernels take between 100 and 200 seconds to pop. What sample size (number of kernels) would be needed to estimate the true mean seconds to pop with and error of 5 seconds and 95% confidence level?
How large a sample should she check in order to be 90% confident that the true proportion is estimated to within 1.5%?
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