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Q1) Student believes that no more than 20% of students who finish statistics course get A. A random sample of 100 students was taken. 24 percent of students in the sample received A's.
a) Mention the null and alternate hypothesis.
b) Using a critical value, test hypothesis at the 1% level of significance.
c) What conclusion can you draw concerning the proportion of students receiving A's in course?
Q2) Average gasoline price of one of the major oil companies has been $1.00 per gallon. Since shortages in production of crude oil, it is believed that there has been a significant increase in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that average price for stations in sample was $1.10. Suppose that standard deviation of population (s) is $0.12.
b) Test claim that prices have increased at the 5% significance level?
c) What conclusion can you draw about price of gasoline based on this test?
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?
Find the value of Z-score- standard normal distribution.Find out a value of the standard normal random variable z, call it z0.
Why might driver be tempted not to use seat belt "just on this trip"?
Two letters are chosen at random without replacement from word statistical. Determine the probability that both letters are s?
The Type 1 error states the probability of being wrong whenever:
Suppose you bid $12000. What is the probability that your bid will be accepted?
At.01 significance level, is there difference in mean number of times men and women order take-out dinners in month? Determine the p -value?
If 50 cups of coffee were measured, what is the probability that: The sample mean per cup is less than 7.8 ounces?
Develop an appropriate forecast model for the given problem whereas the student population has remained constant during this period.
Criterion of realism or Hurwitz. Assume that the payoff from an investment depends on market conditions. Illustrate what is the criterion of realism value.
Compute the correlation and sample covariance. Compute the sample covariance and the sample correlation. Intuitively, what kind of correlation.
In a distribution of scores, the arithmetic mean is 51, the median is 55, and the mode is 62. What is the score, in percentile form, of a subject who does less well than two-thirds of the sample?
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