The average fruit fly will lay 420 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. 392, 396, 409, 434, 401, 393, 394, 420, 436, 435, 410, 430, 431, 416, 403

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The average fruit fly will lay 420 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.
392, 396, 409, 434, 401, 393, 394, 420, 436, 435, 410, 430, 431, 416, 403
What can be concluded at the the a = 0.10 level of significance level of significance?
a. For this study, we should use
Select an answer
b. The null and alternative hypotheses would be:
Но:
?
Select an answer
H1:
?
Select an answer
c. The test statistic | ? ▼
(please show your answer to 3 decimal places.)
%3D
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is (?
f. Based on this, we should | Select an answer
the null hypothesis.
g. Thus, the final conclusion is that ..
.
The data suggest that the population mean number of eggs that fruit flies with this gene
modified will lay in rotting fruit is not significantly less than 420 at a = 0.10, so there is
insufficient evidence to conclude that the population mean number of eggs that fruit flies with
this gene modified will lay in rotting fruit is less than 420.
%3D
The data suggest the populaton mean is significantly less than 420 at a = 0.10, so there is
sufficient evidence to conclude that the population mean number of eggs that fruit flies with this
gene modified will lay in rotting fruit is less than 420.
The data suggest the population mean is not significantly less than 420 at a = 0.10, so there is
sufficient evidence to conclude that the population mean number of eggs that fruit flies with this
gene modified will lay in rotting fruit is equal to 420.
Transcribed Image Text:The average fruit fly will lay 420 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. 392, 396, 409, 434, 401, 393, 394, 420, 436, 435, 410, 430, 431, 416, 403 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? Select an answer H1: ? Select an answer c. The test statistic | ? ▼ (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is (? f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that .. . The data suggest that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is not significantly less than 420 at a = 0.10, so there is insufficient evidence to conclude that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is less than 420. %3D The data suggest the populaton mean is significantly less than 420 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is less than 420. The data suggest the population mean is not significantly less than 420 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of eggs that fruit flies with this gene modified will lay in rotting fruit is equal to 420.
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