The article “Well-Fed Crickets Bowl Maidens Over” (Nature Science Update, February 11, 1999) reported that female field crickets are attracted to males with high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate for male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether the chirp rate was related to nutritional status, investigators fed 22 male crickets a high protein diet for 8 days, after which chirp rate was measured.Let: The parameter μμ be the mean chirp rateof male crickets on a high protein diet for 8 days. Given:The mean chirp rate for the random sample of crickets on the high protein diet was reported to be 65.32 chirps per second with a standard deviation of 12.Research Question:Is there convincing evidence that the mean chirp rate for crickets on a high protein diet implies an advantage in attracting the ladies?It is known that the researchers did not want to risk a Type I error of more than 5%1.1 Find the critical value for the appropriate test statistic.1.2 According to the critical value approach, it is evident that the null hypothesis is and there is that the mean chirp rate is higher for male field crickets that eat a high protein diet. (fill in blanks)1.3Choose the correct interval for the p-value: options sown in photo O 0 < p-value < 0.005O 0.005 < p-value < 0.01O 0.01 < p-value < 0.025O 0.025 < p-value < 0.05O 0.05 < p-value < 0.1O p-value > 0.1

Given data : sample size, n = 22 sample mean, x̄ = 65.32 sample standard…

Answered: The article “Well-Fed Crickets Bowl…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 22T

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The article “Well-Fed Crickets Bowl Maidens Over” (Nature Science Update, February 11, 1999) reported that female field crickets are attracted to males with high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate for male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether the chirp rate was related to nutritional status, investigators fed 22 male crickets a high protein diet for 8 days, after which chirp rate was measured.

Let:

The parameter μμ be the mean chirp rate
of male crickets on a high protein diet for 8 days.

Given:

The mean chirp rate for the random sample of crickets on the high protein diet was reported to be 65.32 chirps per second with a standard deviation of 12.

Research Question:

Is there convincing evidence that the mean chirp rate for crickets on a high protein diet implies an advantage in attracting the ladies?
It is known that the researchers did not want to risk a Type I error of more than 5%

1.1 Find the critical value for the appropriate test statistic.

1.2 According to the critical value approach, it is evident that the null hypothesis is and there is that the mean chirp rate is higher for male field crickets that eat a high protein diet. (fill in blanks)

1.3

Choose the correct interval for the p-value: options sown in photo

O 0 < p-value < 0.005
O 0.005 < p-value < 0.01
O 0.01 < p-value < 0.025
O 0.025 < p-value < 0.05
O 0.05 < p-value < 0.1
O p-value > 0.1

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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