A nutritionist claims that the mean tuna consumption by a person is3.6pounds per year. A sample of80people shows that the mean tuna consumption by a person is3.3pounds per year. Assume the population standard deviation is1.23pounds. Atα=0.09,can you reject the claim? Question content area bottomPart 1(a) Identify the null hypothesis and alternative hypothesis. A.H0:μ≤3.6Ha:μ>3.6 B.H0:μ≠3.3Ha:μ=3.3 C.H0:μ>3.6Ha:μ≤3.6 D.H0:μ=3.6Ha:μ≠3.6 E.H0:μ>3.3Ha:μ≤3.3 F.H0:μ≤3.3Ha:μ>3.3Part 2(b) Identify the standardized test statistic. z=enter your response here(Round to two decimal places as needed.)Part 3(c) Find the P-value. enter your response here(Round to three decimal places as needed.)Part 4(d) Decide whether to reject or fail to reject the null hypothesis. A.Fail to rejectH0.Thereis notsufficient evidence to reject the claim that mean tuna consumption is equal to3.6pounds. B.Fail to rejectH0.Thereissufficient evidence to reject the claim that mean tuna consumption is equal to3.6pounds. C.RejectH0.Thereissufficient evidence to reject the claim that mean tuna consumption is equal to3.6pounds. D.RejectH0.Thereis notsufficient evidence to reject the claim that mean tuna consumption is equal to3.6pounds.

Given that Sample size n =80 Sample mean=3.3 Population standard deviation =1.23 NOTE:- According…

Answered: people shows that the mean tuna…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question content area bottom

Part 1

(a) Identify the null hypothesis and alternative hypothesis.

H0:

μ≤3.6

Ha:

μ>3.6

H0:

μ≠3.3

Ha:

μ=3.3

H0:

μ>3.6

Ha:

μ≤3.6

H0:

μ=3.6

Ha:

μ≠3.6

H0:

μ>3.3

Ha:

μ≤3.3

H0:

μ≤3.3

Ha:

μ>3.3

Part 2

(b) Identify the standardized test statistic.

z=enter your response here

(Round to two decimal places as needed.)

Part 3

enter your response here

(Round to three decimal places as needed.)

Part 4

(d) Decide whether to reject or fail to reject the null hypothesis.

Fail to reject

H0.

There

is not

sufficient evidence to reject the claim that mean tuna consumption is equal to

3.6

pounds.

Fail to reject

H0.

There

sufficient evidence to reject the claim that mean tuna consumption is equal to

3.6

pounds.

Reject

H0.

There

sufficient evidence to reject the claim that mean tuna consumption is equal to

3.6

pounds.

Reject

H0.

There

is not

sufficient evidence to reject the claim that mean tuna consumption is equal to

3.6

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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