A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than923milligrams. A random sample of42breakfast sandwiches has a mean sodium content of915milligrams. Assume the population standard deviation is24milligrams. Atα=0.05,do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e). A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 923 milligrams. A random sampleof 42 breakfast sandwiches has a mean sodium content of 915 milligrams. Assume the population standard deviation is 24 milligrams. At a = 0.05, doyou have enough evidence to reject the restaurant's claim? Complete parts (a) through (e).(a) Identify the null hypothesis and alternative hypothesis.OC. Ho: µ > 923O A. Ho: µ = 923 (claim)Ha: u = 923Ο Β. Η: μ 915Hạ: H< 915 (claim)Hạ: Hs 923 (claim)O D. Ho: us 923 (claim)Ha: u> 923O E. Ho: H= 915 (claim)H3: µ z 915OF. Ho:u<915 (claim)H3:u2 915(b) Identify the critical value(s). Use technology.Zo =U(Use a comma to separate answers as needed. Round to two decimal places as needed.)Identify the rejection region(s). Select the correct choice below.O A. The rejection region is z< 1.64.O B. The rejection regions are z>1.64 and z< - 1.64.O C. The rejection region is z> 1.64.(c) Identify the standardized test statistic. Use technology.= (Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.O A. Reject Ho. There is sufficient evidence to reject the claim that meansodium content is no more than 923 milligrams.O B. Fail to reject Hn. There is not sufficient evidence to reject the claim thatmean sodium content is no more than 923 milligrams.OC. Fail to reject Ho. There is sufficient evidence to reject the claim that mean O D. Reject Ho. There is not sufficient evidence to reject the claim that meansodium content is no more than 923 milligrams.sodium content is no more than 923 milligrams.

Solution: Given information: n= 42 Sample size x=915 Sample mean μ=923 Population mean σ=24…

Answered: A fast food restaurant estimates that…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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Question

A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than

923

milligrams. A random sample of

breakfast sandwiches has a mean sodium content of

915

milligrams. Assume the population standard deviation is

milligrams. At

α=0.05,

do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e).

A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 923 milligrams. A random sample
of 42 breakfast sandwiches has a mean sodium content of 915 milligrams. Assume the population standard deviation is 24 milligrams. At a = 0.05, do
you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e).
(a) Identify the null hypothesis and alternative hypothesis.
OC. Ho: µ > 923
O A. Ho: µ = 923 (claim)
Ha: u = 923
Ο Β. Η: μ 915
Hạ: H< 915 (claim)
Hạ: Hs 923 (claim)
O D. Ho: us 923 (claim)
Ha: u> 923
O E. Ho: H= 915 (claim)
H3: µ z 915
OF. Ho:u<915 (claim)
H3:u2 915
(b) Identify the critical value(s). Use technology.
Zo =U
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Identify the rejection region(s). Select the correct choice below.
O A. The rejection region is z< 1.64.
O B. The rejection regions are z>1.64 and z< - 1.64.
O C. The rejection region is z> 1.64.
(c) Identify the standardized test statistic. Use technology.
= (Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.
O A. Reject Ho. There is sufficient evidence to reject the claim that mean
sodium content is no more than 923 milligrams.
O B. Fail to reject Hn. There is not sufficient evidence to reject the claim that
mean sodium content is no more than 923 milligrams.
OC. Fail to reject Ho. There is sufficient evidence to reject the claim that mean O D. Reject Ho. There is not sufficient evidence to reject the claim that mean
sodium content is no more than 923 milligrams.
sodium content is no more than 923 milligrams.

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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