Consider a t-distribution with 3 degrees of freedom. Find P(– 0.89 < t < 2.83)-

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 51.6 min.P(X > 51.6) =

The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (u) plus three standard deviations ( +30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean () minus three standard deviations (-30). 34.13% 34.13% 13.59% 13.59% 2.19% 0. 13% 2.19% 0.13% -20 *lo *20 Use the figure to help you answer the following questions: The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP…

A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 99 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At a = 0.05, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. Response Not a high school graduate High school graduate College (1 year or more) Frequency, f 37 38 24 (a) State H, and H, and identify the claim. Hn: The distribution of educational attainment responses is H: The distribution of educational attainment responses is Which hypothesis is the claim? O Ho O Ha (b) Determine the critical value, Yo, and the rejection region. X = (Round to three decimal places as needed.) Choose the correct rejection region below. O B. Xx% OA. X 2X% Oc. Xsx (c) Calculate the test statistic. Y = (Round to three decimal places as needed.)…