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Before accepting a large shipment of bolts, the director of an elevator construction project checks the tensile strength of a simple random sample consisting of 20 bolts. She is concerned that the bolts may be counterfeits, which bear the proper markings for this grade of bolt, but are made from inferior materials.
For this application, the genuine bolts are known to have a tensile strength that is normally distributed with a mean of 1400 pounds and a standard deviation of 30 pounds.
The mean tensile strength for the bolts tested is 1385 pounds. Formulate and carry out a hypothesis test to examine the possibility that the bolts in the shipment might not be genuine.
The local municipality claims that since the percentage of intersections that had an accident last year decreased from the prior year, the city is now safer. What are the hypotheses for this situation? Is the city really safer?
According to US Census Bureau, 7.1% of all births to non-smoking mothers are of low birth weight (
20 turn out to be over 65 inches tall, you get $20. Which is better: a sample of size 100 or a sample of size of 1,000? Choose one and explain. Does the law of average relate to the answer you give?
Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.
As you know, the percentile for a value is a measure of where that value stands with respect to the rest of the data. As a criterion for college admissions, why would many schools use a percentile value for a standardized test, rather than a raw s..
Plot the pdf for this random variable. Compute its mean and indicate its value on the plot along with the value given for the median. Which seems to be more "representative" of the central location of the distribution, the mean or the median?
the number of calories and number of grams of sugar per serving were measured for 36 breakfast cereals. the data are in
two competing semiconductor manufacturers offer a 1n4740a zener diode which is specified as having a voltage of 10v and
A national survey of engineering school graduates indicates that only 10% of them have had a course in statistics. (a) Find the probability that in a random sample of five engineering grad uates exactly two have had a course in statistics.
Find the probability that for any particular measurement, the error will exceed % of the correct value if this correct value is 10 V.
how much should a healthy kitten weigh? a healthy 10-week-old domestic kitten should weigh an average of mean 24.5
it is known that the variance of a population equals 1296. a random sample of 144 observations is going to be taken
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