The average fruit fly will lay 393 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 360, 367, 373, 409, 407, 380, 382, 404, 382, 375, 405, 389, 396, 374, 401 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: 393 H1: 393 C. The test statistic |t (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average fruit fly will lay 393 eggs into rotting
fruit. A biologist wants to see if the average will be
fewer for flies that have a certain gene modified.
The data below shows the number of eggs that were
laid into rotting fruit by several fruit flies that had
this gene modified. Assume that the distribution of
the population is normal.
360, 367, 373, 409, 407, 380, 382, 404, 382, 375,
405, 389, 396, 374, 401
What can be concluded at the the a = 0.01 level of
significance level of significance?
a. For this study, we should use
t-test for a population mean
b. The null and alternative hypotheses would be:
Но:
393
H1:
393
C. The test statistic t
(please show your answer to 3 decimal
places.)
d. The p-value =
(Please show your
%3D
answer to 4 decimal places.)
Transcribed Image Text:The average fruit fly will lay 393 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 360, 367, 373, 409, 407, 380, 382, 404, 382, 375, 405, 389, 396, 374, 401 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: 393 H1: 393 C. The test statistic t (please show your answer to 3 decimal places.) d. The p-value = (Please show your %3D answer to 4 decimal places.)
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