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2. The following data represents the running time of films produced by 2 motion picture companies. Assume these are independent samples Company Time (in minutes) Company 1 102 86 98 109 92 Company 2 81 165 97 134 92 87 114 Test the null hypothesis that the average running time of the films produced by company 2 exceeds the average running time of films produced by company 1 by an amount of 10 minutes. Test against the null hypothesis of a one sided alternative that the difference is more than 10 minutes. Use a .1 level of significance (alpha a) Perform the Hypothesis test at alpha = .1 b) Determine the confidence interval for the difference between the means at 90% CI 7. An engineering statistician wants to conduct a test to determine if there is a difference in the compression strength of two different manufactures of reinforced concrete columns. Each manufacturer has provided sample data for compression strength (column failure) as follows: Manufacturer 1: mean compression strength is 956 KSI based on 30 samples with a standard deviation of 192 KSI. Manufacturer 2: mean compression strength of 898 KSI based on 25 samples with a standard deviation of 256 KSI Conduct a test at alpha equal to .01 to see if there is a difference between the two different manufacturers. Consider the data to be from two different populations.
Managers at Beta Technologies, Inc., have collected current annual salary figures and potentially related data for a random sample of 52 of the company's full-time employees.
A random sample of 36 days yielded the average daily output of 890.2 tons, with standard deviation of 19.8 tons. Use this information to make a 95% confidence interval for mean.
The heights of north American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches.
Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?
Determine probability, P(Z
Given the same significance level, a ________ value of t will be required to reject the null hypothesis compared to the value of z required for rejection.
Assuming that both patients are on time, find the expected amount of time that the 1:30 appointment spends in the doctor's office.
let X have one of the following distributions: if the prior probabilities are P(H0)= P(HA) which outcomes favor H0? What prior probabilities correspond to the decision rules with a= 0.2 and a =0.5
Use the relative frequency approach to construct a probability distribution and show that it satisfies the required condition. Find the expected value of the number of tests taken.
A study of the time spent shopping in a supermar- ket for a market basket of 20 specific items showed an approximately uniform distribution between 20 minutes and 40 minutes. What is the probability that the shopping time will be:
A corporation owns a factory that produces sulfuric acid. Because of changing conditions, the plant's output is quite variable. The company's president has observed that the output is normally distributed with a mean of 8,200 pieces per hour.
Determine the typical seasonal patterns for sales using the ratio-to-moving-average method. Project the sales for 2004, and then seasonally adjust each quarter.
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