Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a α=0.05α=0.05 significance level. Category Observed Frequency Expected Frequency A 10   B 16   C 20   D 8   E 13   Complete the table by calculating the expected frequencies.  What is the chi-square test statistic? Round to three decimal places.

Listed in the accompanying table are heights​ (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample​ data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters.   ...   Question content area top right Part 1 Mother 62.0 65.0 64.7 65.5 65.0 67.0 66.0 66.5 63.0 58.5   Daughter 68.0 69.0 66.5 63.0 68.0 62.0 66.5 66.7 63.5 66.5       Question content area bottom Part 1 In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the​ daughter's height minus the​ mother's height. What are the null and alternative hypotheses for the hypothesis​ test?   H0​:…

What are the Excel mean and standard deviation of the GPA data?     Which process is appropriate? ________ Use Excel and the information from parts 4a and 4b to calculate the probability that a randomly selected MSU student has a GPA between 2.95 and 3.7.  GPA Max 3.9     Min 1.5     Classes 6     Class width 0.4     LCL UCL MP Frequency 1.5 1.9 1.7 5 1.9 2.3 2.1 5 2.3 2.7 2.5 5 2.7 3.1 2.9 5 3.1 3.5 3.3 5 3.5 3.9 3.7 5

Weights​ (kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same mean weight. Is there a treatment that appears to be most​ effective?   LOADING... Click the icon to view the data table of the poplar weights. No Treatment Fertilizer Irrigation Fertilizer and Irrigation   1.24 0.99 0.09 0.93   0.65 0.94 0.63 1.41   0.41 0.55 0.13 1.06   0.15 0.51 0.88 1.49   1.31 1.01 0.84         Determine the null and alternative hypotheses.   H0​: ▼   mu 1 greater than mu 2 greater than mu 3 greater than mu 4μ1>μ2>μ3>μ4 Exactly two of the population means are equal.Exactly two of the population means are equal. Not all of the population means are equal.Not all of the population means…