Retaking the SAT. An SRS of 400 high school seniors gained an average of x = 9 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation o = 40. We want to estimate the mean change in score u in the population of all high school seniors. %3D a) Give a 95% confidence interval for based on this sample. b) Based on your confidence interval in part (a), how certain are you the mean change in score u in the population of all high school seniors is greater than 0? [Hint: Does the interval in part (a) include 0?] that

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16.2 Retaking the SAT. An SRS of 400 high school seniors gained an average of
x = 9 points in their second attempt at the SAT Mathematics exam. Assume
that the change in score has a Normal distribution with standard deviation
o = 40. We want to estimate the mean change in score u in the population of
all high school seniors.
(a) Give a 95% confidence interval for u based on this sample.
(b) Based on your confidence interval in part (a), how certain are you
that
the mean change in score u in the population of all high school seniors is
greater than 0? [Hint: Does the interval in part (a) include 0?]
Transcribed Image Text:16.2 Retaking the SAT. An SRS of 400 high school seniors gained an average of x = 9 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation o = 40. We want to estimate the mean change in score u in the population of all high school seniors. (a) Give a 95% confidence interval for u based on this sample. (b) Based on your confidence interval in part (a), how certain are you that the mean change in score u in the population of all high school seniors is greater than 0? [Hint: Does the interval in part (a) include 0?]
Ruler
EOne Page
CL View Side by Side
Gridlines
EE Multiple Pages
ID Synchronous Scrolling
Focus ImmeIsive
Reader
Side
Zoom 100%
New Arrange Split
Switch
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to Side
Navigation Pane
Page Width
Window
All
Reset Window Position
Immersive
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Show
Zoom
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SOME COMMON VALJJES OF Z*
Confidence Level
Tail Level
60%
.20
.84
80%
.10
1.28
90%
.05
1.645
95%
.025
1.96
96%
.02
2.05
98%
.01
2.33
99%
.005
2.576
Focus
W
Transcribed Image Text:Ruler EOne Page CL View Side by Side Gridlines EE Multiple Pages ID Synchronous Scrolling Focus ImmeIsive Reader Side Zoom 100% New Arrange Split Switch Windows to Side Navigation Pane Page Width Window All Reset Window Position Immersive Page Movement Show Zoom Window SOME COMMON VALJJES OF Z* Confidence Level Tail Level 60% .20 .84 80% .10 1.28 90% .05 1.645 95% .025 1.96 96% .02 2.05 98% .01 2.33 99% .005 2.576 Focus W
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