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Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. Unfortunately, the treatment also reduces the strength of the fabric. The breaking strength of untreated fabric is normally distributed with mean 51.6 pounds and standard deviation 1.9 pounds. The same type of fabric after treatment has normally distributed breaking strength with mean 28.7 pounds and standard deviation 1.7 pounds. A clothing manufacturer tests 3 specimens of each fabric. All 6 strength measurements are independent.
(a) What is the probability that the mean breaking strength of the 3 untreated specimens exceeds 50 pounds?
(b) What is the probability that the mean breaking strength of the 3 untreated specimens is at least 25 pounds greater than the mean strength of the 3 treated specimens?
A research study reports t(14) = 2.17. How many individuals participated in the study? Is this t statistic sufficient to reject the null hypothesis using a two-tailed test with alpha = 0.05?
In our real world, where the quality and quantity of information ranges from excellent to terrible, would some measure of the certainty of the data tend to lead to better decisions?
The lifetime of a color television picture tube is normally distributed with the mean of 7.8 years and a standard deviation of 3 years.
A survey covering 0 different suburbs in Dallas found the average price of gasoline to be $3.924 per gallon with a population standard deviation of $0.053. What critical value shoiuld be used to test the claim using a = 0.01?
Determine how large a sample would be necessary to estimate the population proportion with a margin of error of .05 at 95% confidence
How many more days should be included in the sample to be 95% sure the population mean μ is within $50 of the sample mean x?
Find the correlation coefficient for the data. Find the equation for the regression line for the data and predict the final grade of a student who misses 3.5 days.
Two people are playing a game. Only one dice is thrown. If the outcome is a 2 or a 3, then player 1 pays player 2 $6. How much should player 2 pay player 1 when a 1, 4, 5 or 6 is thrown so that player 1 and 2 break even
How many waiters and busboys should report for work at the start of each time period to minimize the total staff required for one day's operation.
Mention the critical value of test statistic (Or give the p-value of the test.)
The State Department of education requires local school districts to keep records on all students within their district. Determine if the following items are categorical or numeric variables.
For the following, describe the target population, sampling frame, sampling unit and observation unit. Is there any selection bias or inaccuracy of responses?
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