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Tensile strength is the ability of a material to resist rupture when pressure is applied to it. In the manufacture of a certain woven polypropylene the manufacture process creates a material with a standard deviation of its tensile strength is pounds per square inch (PSI) and distributed normally.
A quality control inspector tests the tensile strength on a random sample of 40 rolls and finds a mean strength of 87.3 pounds.
a) Find a 99% confidence interval (nearest tenth of PSI). Interpret this interval.
b) Suppose the inspector is unhappy with the previous result and would like to resample. How many rolls should be sampled to estimate the mean tensile strength within 1.5 PSI with 95% confidence?
Looking at the data, the manufacturer is incorrect in its label claim. Perform hypothesis testing to prove or disprove it. Is the manufacturer correct in its label claim? Explain.
Below you are given a partial computer output based on a sample of 21 observations, relating an independent variable (x) and a dependent variable (y).
Write a brief summary of the distribution of the area of homes.
In addition, record the values for the UCL, center line, and LCL. Also, record any points that are out of control. Use a z-value of three.
If a six appears for the third time, the turn of the player ends without moving the token. Determine the sample space of one such throw and determine the probability for each event.
What is the probability of getting someone who is in the 23-30 age brackets or whom smokes?
Statistics Questions Set: If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.)
A contractor developed a multiplicative time series model to predict the number of contracts in future quarters, using quarterly data on number of contracts during the 3-year period from 1996 to 1998.
The function that defines the probability distribution of a continuous random variable is a?For a continuous random variable x, the probability density function f(x) represents.
Determine the probability that no female are hired. Determine the mean and standard deviation of X.
No, there is not sufficient information to reject the hypothesis that the proportion of cats and the proportion of dogs that sleep more than 10 hours per day are the same because the test value -0.65 is inside the acceptance region (-1.96,1.96).
The standard deviation is 2 pounds. If 15% of the suitcases are overweight, Determine the maximum weight allowed by the airline. Assume the variable is normally distributed.
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