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1. Explain why we need to draw random samples and how such samples are drawn. What are the properties of a (simple) random sample?
2. Explain the idea of a bias and its ramifications.
The weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons. Compute the probability that the steel mill will produce more than 150 metric tons next week.
The mean of a normal probability distribution is 60; the standard deviation is 5.
a) Create a 90% confidence interval for this percentage. b) If the company wants to cut the margin of error in half, how many users must they survey?
use the following scenario to answer the next 5 questions. millions of americans are subjected to drug testing in the
1. Construct the 95% confidence interval for the difference between the population means. Assume the population variances are unknown but equal. 2. Specify the competing hypotheses in order to determine whether or not the population means differ.
A medium-sized business operates a small fleet of vehicles. The existing practice is to allocate to each driver a particular area. This area then becomes their ‘patch'. The drivers undertake all the deliveries in their area and only help out in ot..
In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph, and resulting damage was estimated. five test vehicles of each type were crashed.
assume that the population standard deviation is 2 the margin of error for a 98 confidence interval is desired to be -
You are interested in knowing if there is a statistical difference in driving speeds between Day 1 and Day 10. Which statistical test would be appropriate? Why?
Research question : At α = . 05, is cockpit noise level independent of flight phase?
First- and second-place trophies are awarded to the two persons receiving the highest and second-highest number of votes. In how many different ways can the trophies be awarded?
Find the sample mean and sample standard deviation of the amount citizens spend per year. When finding a confidence interval for the true mean spent of ALL citizens, should we use a z-score or a t-score? Why?
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