The article "Well-Fed Crickets Bowl Maidens Over"† reported that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The chirp rates for male field crickets were reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate is related to nutritional status, investigators fed male crickets a high-protein diet for 8 days and then measured chirp rate. The mean chirp rate for the crickets on the high-protein diet was reported to be 101 chirps per second. Is this convincing evidence that the mean chirp rate for crickets on a high-protein diet is greater than 60 (which would then imply an advantage in attracting the ladies)? Suppose that the sample size and sample standard deviation are n = 32 and s = 40. You can test the relevant hypotheses to answer this question. A significance level of ? = 0.01 will be used. a) State the null and alternative hypotheses. H0: ? = 60 Ha: ? > 60 H0: ? < 60 Ha: ? > 60 H0: ? = 60 Ha: ? ≠ 60 H0: ? = 60 Ha: ? < 60 (b) Calculate the test statistic. (Round your answer to two decimal places.) t = (c) Based on ? = 0.01, what is the correct conclusion for the hypothesis test? (Use a table or technology.) We would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60. We would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.We would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.

The article "Well-Fed Crickets Bowl Maidens Over"† reported that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The chirp rates for male field crickets were reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate is related to nutritional status, investigators fed male crickets a high-protein diet for 8 days and then measured chirp rate. The mean chirp rate for the crickets on the high-protein diet was reported to be 101 chirps per second. Is this convincing evidence that the mean chirp rate for crickets on a high-protein diet is greater than 60 (which would then imply an advantage in attracting the ladies)? Suppose that the sample size and sample standard deviation are n = 32 and s = 40. You can test the relevant hypotheses to answer this question. A significance level of ? = 0.01 will be used. a) State the null and alternative hypotheses. H0: ? = 60 Ha: ? > 60 H0: ? < 60 Ha: ? > 60 H0: ? = 60 Ha: ? ≠ 60 H0: ? = 60 Ha: ? < 60 (b) Calculate the test statistic. (Round your answer to two decimal places.) t = (c) Based on ? = 0.01, what is the correct conclusion for the hypothesis test? (Use a table or technology.) We would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60. We would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.We would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.

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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Related questions

Question

n = 32

and

s = 40.

You can test the relevant hypotheses to answer this question. A significance level of

? = 0.01

will be used.

State the null and alternative hypotheses.

H₀: ? = 60

H_a: ? > 60

H₀: ? < 60

H_a: ? > 60

H₀: ? = 60

H_a: ? ≠ 60

H₀: ? = 60

H_a: ? < 60

(b)

Calculate the test statistic. (Round your answer to two decimal places.)

t =

(c)

Based on

? = 0.01,

what is the correct conclusion for the hypothesis test? (Use a table or technology.)

We would fail to reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60. We would reject the null hypothesis. This means on the basis of the evidence, you cannot conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.We would fail to reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean chirp rate for male field crickets that eat a high-protein diet is greater than 60.

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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