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A sample of 100 widgets from the Acme production line shows that the average lifespan of these parts is 900 hours. The standard deviation of production has been 200 hours historically and is known to be normally distributed.
a) Give a point estimate of lifespan of all production.
b) Form an interval estimate for the students using a 99% confidence interval
c) Interpret the results you obtained in question
d) Assuming the sigma of 200 was actually the standard deviation for the sample, recalculate the interval estimate. Discuss how this changed your result from that in part b.
Suppose that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches. A random sample of 16 heights is obtained.
Construct a grouped frequency distribution using six classes.
This activity is a revision of an activity found in Real Data: A Statistics Workbook Based on Empirical Data by Z. C Holcomb (1997). Published by Pyrczak Publishing.
What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 101.8 inches?
Test whether there is difference in the two population mean. Use p-value approach
Random samples of 25 observations were selected from each of 3 populations. For these data, SSTR= 120 and SSE = 216.
If the rods' lengths produced by your line are normally distributed, with a mean equal to the target of 0.2 meters, and a standard deviation of 0.015m, what percentage of rods will be scrapped?
Find the regression equation and percentage of variance and test whether the equation is significant portion of the variance.
Based on this sample information, create a 90% confidence interval for population mean yearly premium.
A company has developed the new battery, but the average lifetime is unknown. In order to estimate the average, a sample of 150 batteries is tested and an average lifetime of this sample is found to be 250 hours.
Perform all pairwise comparisons among the three programs, using a Tukey adjustment and an overall significance level of 0.05, then interpret all your results.
Test hypothesis that both propellants have same mean burning rate. Utilize α=0.05. Compute the P value.
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