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Q1) Researcher forecasts that listening to music while solving math problems will make particular brain area more active. To test this, research participant has her brain scanned during listening to music and solving math problems and brain area of interest has percent signal change of 58. From many earlier studies with this same math-problems procedure (but not listening to music), it is known that signal change in this brain area is normally distributed with mean of 35 and standard deviation of 10. By using .01 level, what must researcher conclude? Solve this problem explicitly by using all five steps of hypothesis testing and demonstrate your answer with sketch showing comparison distribution. Then describe your answer to someone who has never taken a statistic course (but who is familiar with mean, standard of deviation and Z scores).
You find that a random sample of five microwave ovens has a mean repair cost of $75 and a standard deviation of $12.50. At α = 0.01, do you have enough evidence to support the repairer's claim?
What is the possibility that for a arbitrarily selected customer the service time could exceed 3 minutes?
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots
High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours
By constructing null and alternative hypotheses, computing critical values, and comparing test statistic to critical value.
We are asked to test for independence between age (i.e., adult and teen) and drink preferences.
Suppose it costs $25 per student for the administrators to provide the course materials.
There were 3 defectives in the first batch and 5 in the second. Find a 95% confidence interval for the difference in the proportion of defectives.
What IQ score should one have in order to be eligible for Mensa?
Compute the variance and standard deviation
If we select one box of cereal at random from this population, what is the probability that it will weigh less than 915 grams?
The mean maximum oxygen uptake for elite athletes has been found to be 80 with a standard deviation of 8.1. Assume that the distribution is approximately normal.
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