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A random sample of 51 observations was selected from a normally distributed population. The sample mean was x = 79, and the sample variance was s^2 = 29.0. Does the sample show sufficient reason to conclude that the population standard deviation is not equal to 8 at the 0.05 level of significance? Use the p-value method.
· State the null and alternate hypotheses
· Determine which test statistic applies, and calculate it
· Determine the corresponding probability, and compare to
· State your decision: Should the null hypothesis be rejected
Suppose that Total Revenue = 200Q and Total Cost = 80 + 50Q where Q, the quantity sold, is a random variable with expected value 20 and variance 4.
In looking at your business, when and why would you want to use a one-sample mean test (either z or t) or a two-sample t-test? Create a null and alternate hypothesis for one of these issues. How would you use the results?
Electronic baseball games manufactured by Tempco Electronics are shipped in lots of 25. Before shipping, a quality control inspector randomly selects a sample of 6 from each lot for testing. If sample contains any defective games, the entire lot i..
The most important material reclaimed from beverage bottles is PET plastic. A serious impurity is aluminum, which later can clog the filters in extruders when the recycled material is used.
The average buglary rate for a juisdiction has been 311 per year with a standard deviation of 50 what is the probability that next year the number of burglaries will be more than 350.
Test the hypotheses that the average household income in the township is greater than $100,000. Hint: Start by stating the null and alternative hypotheses.
The economists in the Obama administration suggested that the stimulus package that they recommended in early 2008 would keep unemployment under eight percent.
You are given following information on residents' responses, broken down by sex. Determine the probability that resident is a man and opposes the bridge?
If a null hypothesis is rejected at a significance level of .01, it will ______ be rejected at a significance level of .05
You are estimating the cost ($K) of optical sensors based on the power output of the sensor. Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your intermediate calculations to 3 decimal pl..
Illustrate by computation that, for straight -line regression of Y on x, β1= 0.
If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident?
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