During a professor's office hours, students arrive, on average, every ten minutes. Assume that the distribution of the time between arrivals follows an exponential distribution. Suppose that a student has just left.

## Use normal distribution to find out the x scoreThe average score on the stat midterm was 75 points with a standard deviation of 5 points, and Gregor's z-score was -2. How many points did he score. |

## A goodness of fit test and test of independenceLast school year, student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classificati.. |

## Calculate the test statisticChoose the Hypothesis. Specify the Decision Rule. Calculate the Test Statistic. Make the Decision. Give an interpretation of the Decision |

## Type of sampling techniqueTo test the effectiveness of a new type of plastic handcuffs, a law enforcement agency puts the cuffs on a sample of 30 persons who belong to the local weightlifting club. None is capable to break free from the cuffs. What type of sampling techniq.. |

## Uniform distribution on four pointsLet (X,Y) have uniform distribution on the four points (-1,0), (0,1), (0,-1), (1,0). Show that X and Y are uncorrelated but not independent. |

## Population regression functionWhat if the assumption E[u/x]=0 is not satisfied? Illustrate using an example. Explain the relationship represented by a population regression function. |

## Chi-square distributionAt the .05 significance level, can we conclude that the guideline is still reasonable? |

## Critical value and p value for one mean large sample testDetermine the critical value and p value for one mean large sample test. |

## Probability of choosing home securityWhat is the probability all three of the selected homes have a security system? |

## Computing z-score for advertising timeYou listen to radio station for 1 hour, at arbitrarily selected time, and carefully observe that amount of advertising time is equal to 7 minutes. Compute z-score for this amount of advertising time. |

## Probability distribution-trolleylineAmong its various routes, a transit agency operates a trolley line. The line has a total of 18 trolley cars. Some of these cars are unavailable because they are being maintained or repaired. |

## Determination of sample sizeHow large a sample is required to estimate the mean speed with a margin of error equal to 2 miles per hour with 90% confidence? |

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