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The table shows the results of a survey im which 180 family were asked if they own a home and if they will be purchasing a new vehicle this year.
byuing a new car this yearyes no totalown yes 54 11 65a no 69 46 115home total 123 57 180
1) Find the probability that a randomly selected family is buying a new car this year that they own a home.
2) Find the probability that a randomly selected family is buing a new car this year and owns a home.
The State Transportation Department is interested in estimating the proportion of vehicle owners that are operating vehicles without the required liability insurance.
This sample group has errors with a standard deviation of 54.7ft. At the 5% level of significance, test that the new population has errors with a standard deviation equal to 43.7ft.
The lifetime (hours) of an electronic device is a random variable with the exponential probability density function:
A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 195 was taken, and the mean amount spent was $210.97.
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours.
Suppose that X1,..,Xn form a random sample from the normal distribution with unknown mean M and unknown standard deviation S, and let m and s denote the MLEs of M and S. for the sample size n=17, find a value of k such that P(m > M +ks) = 0.95
Explain the independent variable, covariate, and levels (groups) of eah. Also, explain the dependent variable and its associated measurement scale and expected outcome.
What is your conclusion? Are the two variables independent?
Find the probability of getting a head and rolling a six
Compute a 95% confidence interval for the population proportion of positive drug tests. Explain why is the normality assumption not a problem despite the very small value of p.
If a randomly selected student is a female student, what is the probability she is a C student?
Assuming the sigma of 200 was actually the standard deviation for the sample, recalculate the interval estimate. Discuss how this changed your result from that in part b.
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