Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:

a) What is the probability that the drug will be effective for 2 hours or less?

b) What is the probability that the drug will be effective for 1 hour or less?

c) What is the probability that the drug will be effective for 3 hours or more?

Find its change in temperature : To estimate the muzzle speed of a blow dart, fire dart straight up into the air and time how long it takes to come back down. Roughly half of that time is the time for object to decelerate from its initial velocity to motionless. Estimation the in.. |

Take a kidney to be roughly a sphere with a radius : A brick is thrown vertically upward with an initial speed of 4.90 m/s from the roof of a building. If the building is 98 m tall, how much time passes before brick lands on the ground. |

Hypothesis test : Using one mean t test to determine whether or not to support the claim - hypothesis test that WORKS THE SAME as the z-test |

Where does he land on incline : A world class sprinter accelerates to his maximum speed in 3.80 s. He then maintains this speed for the remainder of a 100 m race, finishing with a total time of 10.30 s. What is the runner's average acceleration throughout the first 3.80 s. |

Normal distribution with mean and standard deviation : What is the probability that the drug will be effective for 2 hours or less? |

Inherent constitutional authority : Was the US-Canadian agreement valid under the US Constitution? Was the president acting under his inherent constitutional authority, under power delegated from Congress, or neither? What did Congress say the president could do to restrict agricult.. |

Find whether or not to support the claim : Using one proportion z test to find whether or not to support the claim - There is little evidence to reject H 0 , therefore they conclude the tvs are 20 pounds on average. |

How long after its release does the mailbag reach : A 27 pound meteorite struck a car, leaving a dent 26cm deep in the trunk. If the meteorite struck the car with a speed of 620m/s, what was the magnitude of its deceleration, assuming it to be constant. |

Case study of pacific express : Pacific Express began operating as an airline in 1982. It had routes connecting western cities with Los Angeles and San Francisco and by the summer of 1983 was beginning to show a profit. |

## Probability based on normal distributionIf the standard deviation is $89.46, find the probability that a randomly selected customer spends between $550.67 and $836.94. |

## Hypotheses test and single meanA sample of 25 students enrolled in the university indicates that X (bar) = $315.4 and s = $43.20. |

## Work out the probability of selecting a credit cardKey Refining decided to send a special financing plan to charge account customers having the highest 10 percent of the money charges. What is the dividing point between customers who receive the special plan and those who do not. |

## Simple random sampling processRandomly select a sample of five rental agencies. Start with row two and column two. The number is 90935. Use the first two numbers starting with 90. |

## Calculations to test for effect modificationCarry out the suitable calculations to test for effect modification. Interpret your results. |

## Determining weighted mean gradeDetermine her weighted mean grade? What letter grade did she earn? (A, B, C, D or F). |

## Using level of significance-mean weightUsing a level of significance of .10, is there evidence that the population mean weight of the candy bars is greater than 7.3? Explain. |

## Probability of a randomly selected automobileWhat is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor? |

## Determining the values of mean mDetermine the values of mean M and standard deviation s for original sample? |

## Explaining p-value in test of hypothesisSmaller the p-value in test of hypothesis, the more important the results are. |

## Determining joint pmf and correlation coefficientDie with 4 sides {1, 2, 3, 4} is tossed 2 times. Let X equal maximum of two observations and let Y equal minimum. Determine joint pmf of X and Y, and correlation coefficient. Are X and Y independent? |

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