Corks for bottles in a certain manufacturing process are produced in such a way that the diameter of the corks has a Normal Distribution with a mean=3cm and standard deviation=0.1cm. The specifications call for corks with diameters between 2.9 and 3.1cm. What percentage of the produced corks do NOT meet specification? (a) 31.74% (b) 53.98% (c ) 68.26% (d) 84.13% (e) Cannot be answered

Americans love ice cream .The annual per capita consumption of ice cream ,in pounds ,in the united states can be approximately by a normal distribution with mean 16.5 lbs and standard deviation 2.5 lbs  write three statements about the distribution using the empirical rule

Find the proportion of Normally distributed observations with a z-score above 0.80. Give your answer to four decimal places. Find the proportion of N.d. observations with a z-score between z1​= -0.34 and z2​= 2.72. Give your answer to four decimal places.

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…