The article "Well-Fed Crickets Bowl Maidens Over"t 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 eight days and then measured chirp rate. The mean chirp rate for the crickets on the high-protein diet was reported to be 103 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 = 30 ands = 35 chirps per second, respectively. A USE SALT (a) Compute a 95% confidence interval to estimate the mean chirp rate for crickets on a high-protein diet. (Round your answers to two decimal places.) chirps per second Interpret your interval. Based upon this sample, we can be 95% confident that the true mean chirp rate for crickets on a high-protein diet is between a lower value of chirps per second. and an upper value of

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
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The article "Well-Fed Crickets Bowl Maidens Over"t 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 eight days and then measured chirp rate. The mean chirp rate for the crickets on the high-protein diet was reported to be 103 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 = 30 and s = 35 chirps per second, respectively.
%3D
A USE SALT
(a) Compute a 95% confidence interval to estimate the mean chirp rate for crickets on a high-protein diet. (Round your answers to two decimal places.)
| chirps per second
Interpret your interval.
Based upon this sample, we can be 95% confident that the true mean chirp rate for crickets on a high-protein diet is between a lower value of
and an upper value of
chirps per second.
(b) Define the population parameter of interest.
O u = the number of chirps per second for all crickets fed a high-protein diet
O u = the mean chirp rate for all crickets NOT fed a high-protein diet
u = the mean chirp rate for all crickets fed a high-protein diet
O µ = the mean chirp rate for all crickets
%3D
(c) State the null and alternative hypotheses.
O Ho: H = 60
H3: u + 60
O Ho: H = 60
H3: u > 60
O Ho: H< 60
Ha: H > 60
O Ho: H = 60
09 > 1 :eH
Transcribed Image Text:The article "Well-Fed Crickets Bowl Maidens Over"t 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 eight days and then measured chirp rate. The mean chirp rate for the crickets on the high-protein diet was reported to be 103 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 = 30 and s = 35 chirps per second, respectively. %3D A USE SALT (a) Compute a 95% confidence interval to estimate the mean chirp rate for crickets on a high-protein diet. (Round your answers to two decimal places.) | chirps per second Interpret your interval. Based upon this sample, we can be 95% confident that the true mean chirp rate for crickets on a high-protein diet is between a lower value of and an upper value of chirps per second. (b) Define the population parameter of interest. O u = the number of chirps per second for all crickets fed a high-protein diet O u = the mean chirp rate for all crickets NOT fed a high-protein diet u = the mean chirp rate for all crickets fed a high-protein diet O µ = the mean chirp rate for all crickets %3D (c) State the null and alternative hypotheses. O Ho: H = 60 H3: u + 60 O Ho: H = 60 H3: u > 60 O Ho: H< 60 Ha: H > 60 O Ho: H = 60 09 > 1 :eH
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