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A reading X taken from a chemical process is know to be a normal random variable with a mean of 4.0 gm and with 8% of the readings exceeding 4.2 gm. Assume it is possible to adjust the scales in a linear manner to read Y = aX+b. How should a and b be chosen in order that Y has the same mean but fewer than 2% of the readings of Y exceed 4.2 gm.
Test the hypothesis that the average price is higher than $1.87. Use level of significance α = 0.05.
Construct a stem-and leaf display for the data set? Construct a box plot for the data set? Draw conclusions about the data (e.g. are there any outliers, etc, etc.).
Is there convincing evidence that the proportion of American adults who oppose reinstatement of the draft is greater than 0.7? Use a significance level of 0.05.
Use a Normal approximation to find the probability that 75% or more of the women in the sample have been on a diet.
At the .05 significance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburgh employees? Use the five-step hypothesis-testing procedure.
Determine the probability of a positive economic trend given an increasing employment. Are employment and economic trend independent?
What is the probability that an individual shopper spends between $17.25 and $21.60 on impulse buys?
The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The standard deviation of the mileage is 5,000 miles.
This second sample had an average response of 132 with a sample variance of 16. What is the pooled standard deviation for this problem?
Dr. Walker is an industrial psychologist. She is currently studying stress among executives of Internet companies. She has developed a questionnaire that she believes measures stress.
Let p1 = 100 and n1 = 500; and p2 = 200 with n2 = 500. Test whether there is a statistical difference between the two proportions at the 5% significance level.
For 1989 and 1990 Dave Johnson had the highest decathlon score in the world. When Johnson reached a speed of 32 ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h= -16t^2+32t.
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