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Assignment: Statistic Questions
QUESTION ONE
i. What is the difference between point estimation and interval estimation?
ii. A sample of 8 observations has been taken from a population in which the random variable is normally distributed. The sample mean is 25 and the sample standard deviation is 5. Determine a 95% confidence interval for the population mean.
iii. The mean life of a sample of 200 light tubes produced by a company is found to be 3160 hours with a standard deviation of 180 hours. Test the hypothesis that the mean lifetime of the tubes by the company is 3200 hours.
iv. A sample of 20 measurements of the diameter of a sphere gave a mean 4.38 inches and standard deviation of 0.06 inches find
a)95% confidence limit to the actual diameterb)99% confidence limit to the actual diameter.
in an emergency the typical driver requires about 0.75 seconds to get his or her foot onto the brake. the distance that
in the last quarter of 2007 a group of 64 mutual funds had a mean return of 4.8 with a standard deviation of 5.5. if
Formulate the hypothesis that can be used to determine whether the sample data support the hypothesis that the mean fuel efficiency rating for midsize cars is greater than the mean fuel efficiency for large cars.
a computer repair service found that a random sample of 45 repair costs had a mean cost of 659. assume that the
We found that average performance ratings do not differ between males and females in the population. Now we need to see if they differ among the grades. Is the average performace rating the same for all grades?
Construct the confidence interval to find the estimated margin of error. Then find the sample mean - A biologist reports a confidence interval of (3.3,4.5) when estimating the mean height (in centimeters) of a sample of seedlings.
Let Y, Y2 ·· · Y25 be the order statistics of a random sample of size n = 25 from a distribution of the continuous type. Compute approximately:
When drawing error lines between data points and the regression line, why is it important that these lines be perfectly vertical?
the compressive strengths of a random sample of 64 specimens of an alloy yielded sample average strength of 5566 psi
Calculate the mean, median, and standard deviation for ounces in the bottles and construct a 95% Confidence Interval for the ounces in the bottles.
The IQ of a randomly chosen individual is modeled using a Gaussian random variable.- what percentage of the population have an IQ of at least 140 and thereby are considered "genius?"
The number of cases in the data. Repeat until you get an idea how much variation you should expect. But isn"t there a hypothesis test we should apply?
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