It is traditionally believed in the literature on bird migration that godwits that migrate between Alaska and New Zealand travel a mean distance of 11,355 non-stop. The past several years, more godwits than usual have been observed breeding in the southernmost regions of Alaska. Because of this, a researcher claims the godwits are now traveling a shorter mean distance non-stop. To test this claim, he studied 28 randomly chosen godwits that migrated between Alaska and New Zealand. The birds traveled a sample mean distance of 11,305 non-stop with a sample standard deviation of 265. Assume that the population of distances traveled non-stop between Alaska and New Zealand by godwits is approximately normally distributed.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support that , the mean distance godwits travel non-stop between Alaska and New Zealand, is now less than 11,355KM e to search||Introduction to hypothesis tests for the population mean using...(a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test.Ho: OH₁: 0• The value of the test statistic is given by t =Student's t DistributionStep 1: Enter the number of degreesof freedom.Step 2: Select one-tailed or two-tailed.O One-tailedOTwo-tailedStep 3: Enter the critical value(s).(Round to 3 decimal places.)Step 4: Enter the test statistic.(Round to 3 decimal places.)ExplanationEt(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test..to.10 is the value that cuts off an area of 0.10 in the right tail.CheckEPIC39+x-μLS√n220.4+0.3 +0.2→0.1NEXTSμ2NOXXSOO=OŚ309>O2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | AcMOTORR4999 Step 4: Enter the test statistic.(Round to 3 decimal places.)31XExplanation2O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there isnot enough evidence to support the claim that the mean distance godwits travel non-stop between Alaska andNew Zealand is now less than 11.355 km.CheckSince the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there isenough evidence to support the claim that the mean distance godwits travel non-stop between Alaska and NewZealand is now less than 11,355 km.(c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the researcherSince the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there isenough evidence to support the claim that the mean distance godwits travel non-stop between Alaska and NewZealand is now less than 11.355 km.Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So,there is not enough evidence to support the claim that the mean distance godwits travel non-stop betweenAlaska and New Zealand is now less than 11,355 km.$CO3XS2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | PrivaFEVERSYFE****

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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It is traditionally believed in the literature on bird migration that godwits that migrate between Alaska and New Zealand travel a mean distance of 11,355 non-stop. The past several years, more godwits than usual have been observed breeding in the southernmost regions of Alaska. Because of this, a researcher claims the godwits are now traveling a shorter mean distance non-stop. To test this claim, he studied 28 randomly chosen godwits that migrated between Alaska and New Zealand. The birds traveled a sample mean distance of 11,305 non-stop with a sample standard deviation of 265. Assume that the population of distances traveled non-stop between Alaska and New Zealand by godwits is approximately normally distributed.

Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support that , the mean distance godwits travel non-stop between Alaska and New Zealand, is now less than 11,355KM

e to search
||
Introduction to hypothesis tests for the population mean using...
(a) State the null hypothesis Ho and the alternative hypothesis H₁ that you would use for the test.
Ho: O
H₁: 0
• The value of the test statistic is given by t =
Student's t Distribution
Step 1: Enter the number of degrees
of freedom.
Step 2: Select one-tailed or two-tailed.
O One-tailed
OTwo-tailed
Step 3: Enter the critical value(s).
(Round to 3 decimal places.)
Step 4: Enter the test statistic.
(Round to 3 decimal places.)
Explanation
Et
(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test.
.to.10 is the value that cuts off an area of 0.10 in the right tail.
Check
EPIC
3
9+
x-μL
S
√n
2
2
0.4+
0.3 +
0.2→
0.1
NEXT
S
μ
2
NO
X
X
SO
O=O
Ś
3
09
>O
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac
MOTORR4999

Step 4: Enter the test statistic.
(Round to 3 decimal places.)
3
1
X
Explanation
2
O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is
not enough evidence to support the claim that the mean distance godwits travel non-stop between Alaska and
New Zealand is now less than 11.355 km.
Check
Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is
enough evidence to support the claim that the mean distance godwits travel non-stop between Alaska and New
Zealand is now less than 11,355 km.
(c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the researcher
Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is
enough evidence to support the claim that the mean distance godwits travel non-stop between Alaska and New
Zealand is now less than 11.355 km.
Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So,
there is not enough evidence to support the claim that the mean distance godwits travel non-stop between
Alaska and New Zealand is now less than 11,355 km.
$
CO
3
X
S
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Priva
FEVERSYFE****

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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