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.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

See similar textbooks

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.

Expert Solution