Test the indicated hypothesis. Assume that the populations are normally distributed. $1 = 20.4 , nį = 16, s2 = 21.9 , n2 = 13; left-tailed test, a = 0.10 Test the hypothesis that o1 < o2 at the a = 0.10 level of significance for the given sample data. %3D

The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and conclusion for the test. Assume this is a simple random sample.

Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…

A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at the a = 0.05 level of significance. Click the icon to view the table. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. Observed Distribution of Colors B. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. Colored Candies in a bag C. None of these. Color Brown Yellow Red Blue Orange Green Frequency Claimed Proportion 60 65 55 63 78 65…