(7 pohts) Fiom prevous studes, it has been generaly beleved that Worthom Homitghere icobergs have a mean depeh of 270 meters and a standard devation of 20 meters. An envronmentalst has suggested that global werming has caused icebergs to fare geater depth. A team of scientints visiting the Northem Hemisphere observed a random sample of 41 lowbergs. The dopth of the base of the loebery below the surlace was carefully measined for each and the sanple mowe and standard devintion were calcuated. Part a) Which of the following islave parameter(s) of interest with respect to the new investigation here? (felect all thrt apply A. 41 B. 20 meters C. The mean deper (n mi) of the 41 icebergs in the study. D. The mean depth (mm) of al Northern Hemiphece icobergs. E. The vaciance of the dopehs (n2) of al Northern Homisphere ionbergs. F. 270 meters Q. None of the above Part b) in testina a hypothesis about a parameter of interenc what would your nul typothesin be? The mean degth of the Northem themiaphere iceberps it 270 metens now. The mean dopth of the Nortern Hohisphere lcebegs is greuter than 270 meters now. The moan degth of the Northem Hemiaphare icoberge in smaler than 270 meters now. The mean depth of the Northere Hemviphere loeberg is diterent from 270 mesen now. The mean depth of the Forthern Hemisphere icobergs ined to be 270 metes. The mean degth of the Northem liferisphere icebergs uned to be greater than 270 meter. The mean depth of the Northen Hernitghere loobergs used to be amaler then 270 meten. The mean oleth of the Northem Hemaphere icrevegr ubed to be diferent bom 270 metem. Par cel You would take the aternurve Bypothesin to te: one-sided, ngpitaled. two-sided cne-sidedi lethanled It does not matter whefier we take a one-sided or two-sised ahemative. Part of Suppose that, besed on data collectid, you nopect the mil bypothesis. Which of the folowing oould you conction? There is rutticiort evidence to suggout thut the mean degen of Northern Hemisphere icebergs has decreased de to giobar warming? There is irsitficiect evolenoe to sippest that the mean depth of the Northern Hernaphere iciberg tas not chargod waming. There is insutticient endenoe to sugpest that the man depen of Northecn Hemiophere icebergs has doonasod due to giched waming to gobal warming: A it possibie that you an making a Type leroe Lis possible that you are making a Type II enor. Ai is certainly comect that the meas depth of Nomenen Heniaphere icoberen has inorsased due to giobal waming tis cotaily incorect that the meen depth ol Nothern Hlemischere icabergs has inoneded oue to global warming there tuat have been a problem with the way the sampie was obecined. Part 5 Suppose that, based on tee diac colicted, you obtain a P rulue of 0.04 . The meanemecer now. there it a 4 C thance that the meen depth of Northen Hemiphere lesbergs fut noreased doe to global waming the probablify of the mean depen of lowbers meaving 270 meten, of geater is o.ch. findeed the the ment olepth.

1. (7 pohts) Fiom prevous studes, it has been generaly beleved that Worthom Homitghere icobergs
have a mean depeh of 270 meters and a standard devation of 20 meters. An envronmentalst has
suggested that global werming has caused icebergs to fare geater depth. A team of scientints
visiting the Northem Hemisphere observed a random sample of 41 lowbergs. The dopth of the
base of the loebery below the surlace was carefully measined for each and the sanple mowe and
standard devintion were calcuated. Part a) Which of the following islave parameter(s) of interest
with respect to the new investigation here? (felect all thrt apply A. 41 B. 20 meters C. The mean
deper (n mi) of the 41 icebergs in the study. D. The mean depth (mm) of al Northern Hemiphece
icobergs. E. The vaciance of the dopehs (n2) of al Northern Homisphere ionbergs. F. 270 meters
Q. None of the above Part b) in testina a hypothesis about a parameter of interenc what would
your nul typothesin be? The mean degth of the Northem themiaphere iceberps it 270 metens
now. The mean dopth of the Nortern Hohisphere lcebegs is greuter than 270 meters now. The
moan degth of the Northem Hemiaphare icoberge in smaler than 270 meters now. The mean
depth of the Northere Hemviphere loeberg is diterent from 270 mesen now. The mean depth of
the Forthern Hemisphere icobergs ined to be 270 metes. The mean degth of the Northem
liferisphere icebergs uned to be greater than 270 meter. The mean depth of the Northen
Hernitghere loobergs used to be amaler then 270 meten. The mean oleth of the Northem
Hemaphere icrevegr ubed to be diferent bom 270 metem. Par cel You would take the aternurve
Bypothesin to te: one-sided, ngpitaled. two-sided cne-sidedi lethanled It does not matter whefier
we take a one-sided or two-sised ahemative. Part of Suppose that, besed on data collectid, you
nopect the mil bypothesis. Which of the folowing oould you conction? There is rutticiort
evidence to suggout thut the mean degen of Northern Hemisphere icebergs has decreased de to
giobar warming? There is irsitficiect evolenoe to sippest that the mean depth of the Northern
Hernaphere iciberg tas not chargod waming. There is insutticient endenoe to sugpest that the
man depen of Northecn Hemiophere icebergs has doonasod due to giched waming to gobal
warming: A it possibie that you an making a Type leroe Lis possible that you are making a Type
II enor. Ai is certainly comect that the meas depth of Nomenen Heniaphere icoberen has
inorsased due to giobal waming tis cotaily incorect that the meen depth ol Nothern Hlemischere
icabergs has inoneded oue to global warming there tuat have been a problem with the way the
sampie was obecined. Part 5 Suppose that, based on tee diac colicted, you obtain a P rulue of
0.04 . The meanemecer now. there it a 4 C thance that the meen depth of Northen Hemiphere
lesbergs fut noreased doe to global waming the probablify of the mean depen of lowbers
meaving 270 meten, of geater is o.ch. findeed the the ment olepth of the Norhen Hemisghere
ionbergs is 270 mates now Worthen Hemisphee icoberes is 270 meters now. mehers now Part gil
Based on the P-value that wat obtaned, you would Fetect al that aephy A nether niect nor asonot
the mad hicethesi. B. fal to ropect the fut typothevis at at C. beline the fult trpoteses in the D.

2. ropet the eul Mpophesis at a -0.05 lever of sionifomoe E. renca the nuli hppthess at a =0.1 levet
of nignicionos E None of the aboot
Part d) Suppose that, based on data collected, you reject the null hypothesis. Which of the
following could you conclude? There is sufficient evidence to suggest that the mean depth of
Northern Hemisphere icebergs has increased due to global warming. There is sufficient evidence
to suggest that the mean depth of the Northern Hemisphere icebergs has not changed. There is
sufficient evidence to suggest that the mean depth of Northern Hemisphere icebergs has
decreased due to global warming. There is insufficient evidence to suggest that the mean depth
of the Northern Hemisphere icebergs has not changed. There is insutficient evidence to suggest
that the mean depth of Northern Hemisphere icebergs has increased due to global warming.
There is insufficient evidence to suggest that the mean depth of Northern Hemisphere icebergs
has decreased due to global warming. Part e) Suppose that, based on data collected, you decide
that the mean depth of Northern Hemisphere icebergs has increased due to global warming. it is
possible that you are making a Type I error. it is possible that you are making a Type II error. it
is certainly correct that the mean depth of Northern Hemisphere icebergs has increased due to
global warming. it is certainly iricorrect that the mean depth of Northern Hemisphere icebergs
has increased due to global warming. there must have been a problem with the way the sample
was obtained. Part f) Suppose that, based on the data collected, you obtain a P-value of 0.04 .
This means: the sample of icebergs are relatively greater in depth, if indeed the true mean depth
of the Northern Hemisphere icebergs is 270 meters now. there is a 4% chance that the mean
depth of Northern Hemisphere icebergs has increased due to global warming. there is a 4%
chance that the mean depth of Northern Hemisphere icebergs has decreased due to global
warming. the probability of the mean depth of icebergs measuring 270 meters, or greater is 0.04 ,
if indeed the true mean depth of the Northern Hemisphere icebergs is 270 meters now. the
probability of the mean depth of icebergs measuring 270 meters, or smaller is 0.04 , if indeed the
true mean depth of the Northern Hemisphere icebergs is 270 meters now. the sample of icebergs
are relatively smaller in depth, if indeed the true mean depth of the Northern Hemisphere
icebergs is 270 meters now Part g) Based on the P-value that was obtained, you would (Select all
that apply): A. neither reject nor accept the null hypothesis. B. fail to reject the null hypothesis at
all. C. believe the null hypothesis is true.