Reference no: EM1315708
True/False:
1. In an experiment involving matched pairs, a sample of 12 pairs of observations is collected. The degree of freedom for the t statistic is 10.
2. When comparing two independent population means, if n1=13 and n2=10, degrees of freedom for the t statistic is 21.
3. There are two types of machines called type A and type B. Both type A and type B can be used to produce a certain product. The production manager wants to compare efficiency of the two machines. He assigns each of the fifteen workers to both types of machines to compare the hourly production rate of the 15 workers. In other words, each worker operates machine A and machine B for one hour each. It is appropriate to treat these two samples as independent for test of difference between mean hourly production rates.
4. In testing the difference between two means from two independent populations, the sample sizes do not have to be equal to be able to use the Z statistic.
5. In testing the difference between the means of two independent populations, if neither population is normally distributed, then the sampling distribution of the difference in means will be approximately normal provided that the sum of the sample sizes obtained from the two populations are at least 30.
6. When comparing two population means based on independent random samples, the pooled estimate of the variance is used if both population standard deviations are unknown and unequal.
7. Assume that we are constructing confidence interval for the difference in the means of two populations based on independent random samples. If both sample sizes n1 and n2 = 10 and the distribution of both populations are highly skewed, then a confidence interval for the difference in the means can be constructed using the t test statistic.
8. If the limits of the confidence interval of the difference between the means of two normally distributed populations were 3.5 and 5.5 at the 95% confidence level, then we can conclude that we are 95% certain that there is a significant difference between the two population means.
9. When we are testing a hypothesis about the difference in two population proportions based on large independent samples, we compute a combined (pooled) proportion from the two samples if we assume that there is no difference between the two proportions in our null hypothesis.
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