uppose the random variable x is best described by a normal distribution with u=27 and o=5. Find the z-score that corresponds to llowing x-values. a.x=17 b.x=16 c. x= 12 d.x=14 e.x-21 f.x=33 B

Find the z-scores that separates the middle 94 % of the distribution from the area in the tail of the standard normal distribution.Use decimal places.First z-score = [ Note: If it did not work, try switching your answer around]Second z-score =

Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 74.4 96 83.2 65 63.9 64.3 74.4 69 68.4 88 Test grades are believed to be normally distributed.Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample:  (Round to two decimal places.) State the standard error of the sample means:  (Round to four decimal places.) State the test statistic: t=t=  (Round to four decimal places.) State the p-value:  (Round to four decimal places.) Decision: Reject the null hypothesis. Do not reject the null hypothesis.

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…