Suppose the size of the files in a disk is a normal random variable with parameters μ = 93 GBytes and o = 2.5 GBytes. Use the Z-table to determine the following. 1. What percentage of the files are greater than 94 GBytes? 2. Let m denote the size of the file. What is the value of m for which 88.30% of the files are smaller than m?
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- It the weights of students in U.OJ. are bell-shaped. We take a sample of 4200 students with mean 75 kgs and variance 9 kgs. Find the weight for which 2100 students are smaller? Select one Oa 72 Ob70 O 75The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)Assume that a vending machine dispenses coffee in amounts that vary uniformly between 7.5 and 12.5 ounces per cup. Calculate the mean and variance of the distribution. Select one: O a. 12.5 and 5 O b. 10 and 2.08 c. 10 and 3.8 O d. 12.5 and 2.08
- A political newspaper, Politically Sound, is interested in the distances voters in Rising Falls County live from their nearest polling station. Politically Sound has hired you to estimate the population mean of all such distances for voters in this county. To estimate this population mean, you select a random sample of 17 Rising Falls County voters and record the distance (in km) each voter lives from their nearest polling station. Assume the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Number of voters 17 Sample mean 4.757 Sample standard deviation 2.363 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the…Assume that we have a data set composed of three features. After doing PCA we find that the variances of the three principal components are 18, 5 and 1. What fraction of the variance of all the data can be expressed in terms of the first principal component? Select one: О а. 7/8 b. 2/3 O C. All of it. O d. 3/4To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. Mean Squares, Treatment 0000 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 1 17 23 21 19 What conclusion can you draw after carrying out this test? - Select your answer - Manufacturer 2 28 26 31 27 + 3 18 17 21 20 The p-value is - Select your answer - What is your conclusion? - Select your answer - b. At the a = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Calculate Fisher's LSD Value (to 2 decimals).
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