Suppose that you want to perform a hypothesis test based on a simple random paired sample to compare the means of two populations. For each part, decide whether you would use the paired t-test, the pairedWilcoxon signed-rank test, or neither of these tests. Preliminary data analyses of the sample of paired differences suggest that the distribution of the paired-difference variable is a. uniform. b. not symmetric; the sample size is 132. c. moderately skewed but otherwise approximately bell shaped

A consumer magazine wants to compare the lifetimes of ballpoint pens of three different brands (measured in days). The magazine takes a random sample of pens of each type in the following table. What is the correct test statistic? Brand 1 Brand 2 Brand 3 382 181 238 242 140 257 216 162 241 319 218 213 a. F (2, 9) = 5.54 b.r = -.34 c. t (11) = 12.16 d.p = .027

If you have samples of n₁ = 22 and n₂ = 19, in performing the pooled-variance t test, how many degrees of freedom do you have? You have degrees of freedom.

When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a 1 1 population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ ▼ ▼ Probability (Type integers or simplified fractions.)

Please provide an explanation :)

If sample data is such that for a one-tailed test of ? you can reject H0 at the 1% level of significance, can you always reject H0 for a two-tailed test at the same level of significance? Explain your answer?   A. Yes. If H0 for a one-tailed test is rejected at the 1% level of significance, it will always be rejected for a two-tailed test at the same level of significance. B. No. If H0 for a one-tailed test is rejected at the 1% level of significance, it will never be rejected for a two-tailed test at the same level of significance.     C. Yes. The P-value for the two-tailed test could be greater than 0.01. D. No. The P-value for the two-tailed test could be greater than 0.01.

. What are the values of SS and variance s? for the following sample of n=3 scores? Sample: 1, 4, 7

a) Work this problem manually (by hand) using the procedures and formulas for ANOVA to check if the Population Means for flying time before major maintenance is required are the same for the three types of aircraft.   To help you, Sample Means and Sample Variances have been calculated below for you:                      Airbus                Boeing737            Boeing 787                        6.4                           8.7                          9.9                        7.8                           7.4                          12.8                        5.3                            9.4                         12.1                       7.4                            10.1                        10.8                       8.4                            9.2                          11.3                       7.3                            9.8                          11.5 __________________________________________________________________ Sample Mean         7.1…