Q1) The director is considering introducing new packaging for an existing product.Two styles of packaging, X and Y, were proposed. The company decided to try the newpackaging in a random sample of shops. The sample sizes and the results are givenbelow:Packaging XPackaging YSample size6050Mean sales280300Standard deviation of sales5070(a) Test, at the 0.05 level of significance, whether the sales for the product with Ypackaging were significantly higher than that for the product with X packaging.(b) Compute the p-value and indicate whether it leads to the same conclusion.

Answered: Q1) The director is considering…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Job satisfaction as a function of a work schedule was investigated in different factories. In the first factory, the employees are on fixed shift system while in the second factor, the workers have rotating shift system. Using the data in the table below, determine if there is a significant difference in job satisfaction between the two groups of workers. Use 0.01 level of significance. Shift Schedule Mean Standard Deviation Sample size Fixed 7.43 2.42 23 Rotating 6.18 2.15 29
Buyer's Digest is rating thermostats manufactured by two manufacturers, Thermorite and Tempking. In a recent test, 28 thermostats from Thermorite and 12 thermostats from Tempking were randomly selected and placed in a test room that was maintained at a temperature of 68°F. Average temperature readings were as follows: Thermorite: 68 Tempking: 66 Sample standard deviations were: Thermorite: 0.52 Tempking: 0.8 If we want to conduct a hypotheses test with a-05 to see whether the temperature reading variance for Thermorite is smaller than Tempking. what is the correct test statistic? (Round your answer to three decimal places) Test Statistic
The president of an all-female school wants to know if the students at her school studied more or less, on average, than the students at a neighboring all-male school. To find out, she conducted a study. Accordingly, samples were taken at each school with the following results: All female: sample size = 43, mean study time ( hours) = 18.56, standard deviation (hours) = 4.35 All male: sample size = 38, mean study time (hours) =17.95, standard deviation (hours) = 4.87 Calculate the 95% confidence interval for the differences between population means. Use brackets write the final answer [x.xx, x.xx]
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 14 plants using electricity, which had a mean cost per unit of $55.06 and standard deviation of $8.25, and 12 plants using gas, which had a mean of $57.80 and standard deviation of $7.81. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean cost per unit for plants using electricity, differs from μ₂, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of…
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You are a researcher assessing self-checkout lane violations at supermarkets in a town in the southern United States. The supermarket has five (5) self-checkout lanes. The violations by each lane are as follows: Lane A: 5 violations Lane B: 10 violations Lane C: 15 violations Lane D: 20 violations Lane E: 25 violations Please calculate the following (your standard deviation is 7.91): Mean: Standard Error of the Mean: Please interpret your Standard Error of the Mean.
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 9 plants using electricity, which had a mean cost per unit of $51.9 and standard deviation of $7.98 , and 14 plants using gas, which had a mean of $55.5 and standard deviation of $8.73 . Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.05 level of significance, that the mean cost per unit for plants using electricity, μ1 , differs from the mean cost per unit for plants using gas, μ2 ? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If…

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