Assignment Instructions/ Description
QuestionImage transcription textO
13.37 Xr13-37 Studies have shown that tired chil-
dren have trouble learning because neurons
become incapable of forming new synaptic con-
nections that are necessary to encode memory.
The problem is that the school day starts too
early. Awakened at dawn, teenage brains are still
releasing melatonin, which makes them sleepy.
Several years ago, Edina, Minnesota, changed
its high school start from 7:25 A.M. to 8:30 A.M.
The SAT scores for a random sample of students
taken before the change and a random sample of
SAT scores after the change were recorded. Can
we infer from the data that SAT scores increased
after the change in the school start time?
O
O... Show moreMethod to use:�Image transcription textStep 1: Testing for Equal or Different variances
Hypothesis testing
Step 1: State hypothesis in plain English
Step 6: Select test statistic
Ho: the variances are
assumed to be equal
Fo =
Ha: The variance of the two populations can be
assumed to be different
Step 7: Critical value
Step 2: Select the statistical measure
F-critical (.05, nb, na) =
1.205
F-test Ratio of the variances Step 8: Compute the test statistic
Fo =
1.14
Step 3: One-side or two-side?
p(Fo) =
0.121
One- sided
Step 4: State hypothesis math
GH
Step 9: Compare the test calculated with the critical value
Fail to reject null if Fo < Foritial or p(Fo)> alpha
Step 5: Level of test
Ha:
1.14 <1.21
fail to reject HO
alpha =0.05
.121>.05
fail to reject HO
F: 06 102
Step 10: Write conclusion
F-Test Two-Sample for Variances
There is insufficient evidence to conclude that the population variances of SAT scores before and after the change are significantly different.
Step 2: Testing for the means
Mean
496.87
511.29
Hypothesis testing
Variance
5443 4769.7
Step 1: State hypothesis in plain English
Step 6: Select test statistic
Observat
355
288
Jull is that the change in start times did not
Xa - Xb - (Ha - Up)
354
287
ead to any improvements in mean SAT scores
to
F
1. 1412
Alternative, is that the later start time led to
1 1
PIF<=f)0 0.1215
mprovements in mean SAT scores
Spuna
F Critical
1.2045
Step 7: Critical value
t-Test: Two-Sample Assuming Equal Variances
Step 2: Select the statistical measure
t-critical 1.647
mu_after - mu_before
Mean SAT score after changes - mean SAT
Step 8: Compute the test statistic
Mean
score before the changes
to =
2.53
Variance
Step 3: One-side or two-side?
p(to) =
0.0057
Observations
One-Sided
Pooled Variance
Step 9: Compare the test calculated with the critical value
Hypothesized Mean Difference
Step 4: State hypothesis math
Reject null if to > teritial or pltokalpha
Ho: Up 2 Ha
2.53 >1.647
reject HO
I Stat
PIT<=)one-tail
Ha: HD - Ha
0057 <.05
reject HO
Critical one-tail
Step 5: Level of test
PIT<=t) two-tail
alpha = 0.05
Step 10: Write conclusion
t Critical two-tail
There is sufficient evidence to conclude that SAT scores increased after the change in the schedule occurred.... Show morePlease solve the problem exactly as it is listed, using the ten step method. Where there are figures, that is either data analysis or JMP - if you know how to use those tools, please include those computations. I am not sure the answers I have provided are correct so please check those.��Data to use:BeforeAfter545590462467398565425416453458572651443462532479521494380449486407488471359545559461398541497573619534563358511471532459463452292397424431384472352481421539462458415501409721484683487497364633415515564436473417554554366520502504619429524532600456573549425586601494509432474512479502517502539363610641600512606493660395531485545566453555563555421553438586310616614489496492403486530538469528510558554569463587423544538478528482554509375506362633607404434571384532678504530495451541512468459499625562437529434369490578494397481601437520447482514554488467458335524546476514478586490492512606507504504615544542614435423467405530552463493495557526453562547633698448502387663492439579376469455543614681624483634492632495474560433529537498584594520516587457420557445485499508530590497497522504421524346434557503574431505559437568512500459604441546477526469516467530398505535441446420591614607424429603538567572540518474463399493559418559535518583512494526572422492540400431449376468445540515402590514617646681441606522518526523425520420547481466501513606378611512454473531576388569579659396432486467616497600426488553672512442483441476518445466600505389499584569658489493405406503457583629505482584578355614461541671513454549298419530507339536478479437528436437623534468540564483498456451546495481438457574671472499567438447564476461426615414507514444413458379415461447518502490582551558365553423527569512462454344552421572683644548552495404467510525512528383534464435440446555481468432611564451426518435498582531470599453455553441565534544580571443428621479417439544482530540602612491495463558474498409536446526459546424420420531434375370393439535488441542454471473563515565650445457609466634463659528515495594584564362493583391547623461�538�501�548�528�503�582�487�422�541�521�461�432�595�554�404�457�584�601�574�488�487�561�542�517�610�535�363�501�436�464�499�492�580�584�584�469�499�492�563�447�413�470�489�451�409�676�479�429�486�564�486�486�547�401�454�478�616�439�451�438�646�462�621�466�494�467�