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1. A machine is adjusted so that when under control, the amount of sugar filled in a bag is normally distributed with a mean amount of 5 pounds. To check if the machine is under control, six bags were picked at random and their weights (in pounds) were found to be as follows:
5.3, 5.1, 4.9, 5.4, 4.9, 5.3
At the 5% level of significance, is there sufficient evidence to conclude that the machine is not under control (the mean amount of sugar is different from 5 pounds)?
Which probability distribution is suitable when sampling without replacement?
Four research participants take a test of mannual dexterity (high scores mean better dexterity) and anxiety test (high scores mean more anxiety). Scores are as follows:
There is no significant difference in the mean household incomes between the two neighborhoods +0.05
Plot a scatter diagram of the results with Depth of Water as the independent variable.
14 machines are planned to be used for a 60-day production run for a customer. The operating time is 1660 hours. Upon failure, a machine must be returned to the manufacturer for repair.
In a manufacturing process, the diameter of the steel rods is the product characteristic. A random sample of 25 steel rods is taken and sample mean is 8.88 cm.
Do not forget to test for any applicable difference in means (Tukey implies).
What is the null hypothesis in a chi-squared test of independence? List the assumptions under which the linear regression model is supposed to work.
If random sample of 9 loads is selected for a weight check, determine the probability that mean weight of those loads is more than 40.60 tons.
High temp for January 1st is normally distributed with a mean of 40 degrees and a standard deviation of 5 degrees.
The letters of the word PRESERVE are arranged at random. Then what is the probability that all the 3 E's occur together??
If the weight distribution is known to be normally distributed, do the data support the veterinarian's suspicion? Conduct a hypothesis test at the 5% significance level. Define your parameter (μ), state your hypotheses, conduct the test and write ..
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