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"In each of the following situations, a hypothesis test for a population mean is needed. For each situation select the correct choice of the null hypothesis H0 and the alternative hypothesis Ha.
Situation 1. Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus.
Choose the correct null hypothesis H0 and alternative hypothesis Ha from the choices below.
a) H0: μ = 18; Ha: μ < 18.b) H0: μ = 18; Ha: μ > 18.c) H0: y = 18; Ha: y < 18.d) H0: y = 18; Ha: y > 18.e) H0: μ = y; Ha: μ < y.f) H0: y = 18; Ha: y ≠ 18.g) H0: μ = 18; Ha: μ ≠ 18.
Testing indicates that the lifetimes of a shipment of disposable butane lighters are normally distributed with a mean of 1000 lights and a standard deviation of 100. What percentage of these lighters will:
A major issue facing many states is whether to legalize casino gambling. Suppose the govenor of one state believes that more than 55% of the state's registered voters would favor some form of legal casino gambling.
Let X be the number of calls you need to make until you find your friend. Give the probability mass function for X. How many calls do you expect to make until you find your friend?
The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type.
Write a paragraph or two summarizing what you can conclude from the summaries you generated. You should address the central tendency, variability, and shape of the data.
ACME will incur the cost of replacement, but will not receive any additional revenue. What is the profit earned/loss incurred on an all weather tire that exceeds 40,000 miles?
The probability that a person suffering from a migraine headache will obtain relief from a particular drug is 0.9. Three randomly selected sufferers from migraine headache are given the drug. Find the probability that the number obtaining relief w..
What is the probability the circuit will last more than 3000 hrs. What is the probability the circuit will last between 2500 and 2750 hours and what is the probability the circuit will fail within the first 2000 hrs.
A die is rolled 60 times. An "ace" is the side with one dot. Use the normal approximation to estiate the chance of getting exactly 12 aces.
Test the claim that the actual amount of coke exceeds 12 ounces. (Note: You can use the value of $s$ as the value of $sigma$ for your hypothesis test).
Arbitarily sampling one man and one woman from this population, determine probability neither is a Tay-Sachs carrier? Compute the probability both are carriers?
Suppose that people's heights (in centimeters) are normally distributed, with a mean of 165 and a standard deviation of 6. We find the heights of 40 people.
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