A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. The conditions for inference are met. The test statistic is t = –2.74 and the P-value is between 0.005 and 0.01. What conclusion should be made at the significance level, ?Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.Reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.Fail to reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.Fail to reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds. A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may beunderfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these bucketsof chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standarddeviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true meanweight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypothesesHo: μ = 50 versus Ha: < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Theconditions for inference are met. The test statistic is t = -2.74 and the P-value is between 0.005 and 0.01. Whatconclusion should be made at the significance level, α = 0.05?Reject Ho. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound bucketsis less than 50 pounds.O Reject Ho. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-poundbuckets is less than 50Fail to reject Ho. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-poundbuckets is less than 50 pounds.O Fail to reject Ho. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pourbuckets is less than 50 pounds.

Given information Hypothesized mean µ = 50 pounds Sample size (n) = 30 Mean x̅ = 49.4 pounds…

A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. The conditions for inference are met. The test statistic is t = –2.74 and the P-value is between 0.005 and 0.01. What conclusion should be made at the significance level, ? Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds. Reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds. Fail to reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds. Fail to reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H₀: μ = 50 versus H_a: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. The conditions for inference are met. The test statistic is t = –2.74 and the P-value is between 0.005 and 0.01. What conclusion should be made at the significance level, ?

Reject H₀. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

Reject H₀. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

Fail to reject H₀. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

Fail to reject H₀. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be
underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets
of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard
deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean
weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses
Ho: μ = 50 versus Ha: < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. The
conditions for inference are met. The test statistic is t = -2.74 and the P-value is between 0.005 and 0.01. What
conclusion should be made at the significance level, α = 0.05?
Reject Ho. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets
is less than 50 pounds.
O Reject Ho. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound
buckets is less than 50
Fail to reject Ho. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound
buckets is less than 50 pounds.
O Fail to reject Ho. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pour
buckets is less than 50 pounds.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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