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You want to determine if your widgets from machine 1 are the same as machine 2. Machine 1 has a sample mean of 500 and a population standard deviation of 6 and a sample size of 18. Machine 2 has a sample mean of 500.5 and a population standard deviation of 2 with a sample size of 2. With an alpha of .05 can we claim that there is a difference between the output of the two machines. Which of the following statements are true?
a. We will reject the null hypothesis and prove there is a difference between the 2 populations.
b. We will not reject the null hypothesis and thus we can't prove there is a difference between the 2 populations.
c. The critical values you will use are 1.96 and -1.96
d. B and C are correct
e. None of the above are correct
Do you use the t-test for this answer? Do the t-test and z-test give different answers?
To be from the same population? You may assume the that follows a normal distribution. values are: 2.13 1.31 1.91 1.92 1.77 1.64 2.29 1.99 2.33 2.49 2.22
Ball bearings are mannormally distributed with a meanufactured with a diameter of 5 mm. But the process has variation, so the diameter is normally distributed with a mean of 5 mm and a standard deviation of .02 mm. A) What proportion of ball beari..
As it is a 2 × 2 table, try also two-tailed two-sample z test for π 1 = π 2 and verify that z 2 is same as your chi-square statistic. Which test do you prefer? Explain why?
Given that the mean of 100 observations is 42.5 and that their standard deviation is 6.313, find the sum of the squares of the observations.
The means appear to be very close, but not the variances. At α = .05, is there a difference in variances? Show all steps clearly, including an illustration of the decision rule.
Millie and Senta Meter have recently taken Pre and Post test in achievement. The test were normally distributed. Millie's percentile rank changed from 57.93 to 77.34. Senta's changed from 1.07 to 4.95.
Explain how we test independent against dependent variables in a regression analysis? What's the set up? How are regression analyses often misused / misinterpreted at work or in the news? Cite an example.
Outline the difference between the t test for independent groups and the t test for matched groups. A researcher computed the F ratio for a four-group experiment.The computed F is 4.86. The degrees of freedom are 3 for the numerator and 16 for the ..
This week introduces the chi-square goodness-of-fit-test, which looks for differences across independent groups. Since this is similar to the independent t-test, which looks for differences between independent groups,
Using an example from a hospital, create a mock data set for two specific variables of importance within hospital (minimum of 20). The data may be used for quality measures, patient inputs, demographics, financial data, etc.
Indicate at which point flat-of-the-curve medicine is experienced in the following example (imagine that antibiotics have been prescribed for a given population of 1,000 elderly persons).
What are the mean and the standard deviation of the number of firms that purchase a Unix machine from Sun Microsystems?
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