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A random sample of 35 observations was selected from a normally distributed population. the sample mean was x-bar=51, and the sample variance was s^2=16.0. does the sample show sufficient reason to conclude that the population standard deviation is not equal to 3 at the 0.05 level of significance? use the p-value method.
Discuss what is meant by mean, median, mode, variance, and standard deviation for a set of scores. Also mention under what circumstance you would use each of these.
The number of items rejected daily by the manufacturer because of defects for last 30 days are:
When 500 college students are randomly selected and surveyed, it is found that 135 of them own personal computers (based on data from the America Passage Media Corporation).
People in a large population average 60 inches tall. You will take a random sample and will be given a dollar for each person in your sample who is over 65 inches tall. Does the law of average relate to the answer you give?
For each of the following, indicate whether the type of probability involved is an example of a priori probability, empirical probability, or subjective probability.
Find the quotient and remainder when x^7 + x^4 + x + 1 is divided by x^3 + x^2 + 1 over mod 2. Please show the detailed working along with explanations as needed.
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is
What are the primary advantages and disadvantages of employing sampling in this application?
However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 48%. What is the probability that they win both contracts?
Set up the null and alternative hypotheses for testing these claims. In order to conduct the test, the customer selected a significance level of alpha=.05. Interpret this value. (I.e. what does it mean to conduct the test at a level of alpha=.05)
A food snack manufacturer samples 7 bags of pretzels off the assembly line and weighs their contents. If the sample mean is 12.7 oz. and the sample standard deviation is 0.40 oz., find the 95% confidence interval of the true mean.
What is the probability that the percentage in the sample will deviate from the population percentage by no more than 7 percentage points?
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