(a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho H₁:0 (b) Determine the type of test statistic to use.
(a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho H₁:0 (b) Determine the type of test statistic to use.
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Transcribed Image Text:H
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
HO
H₁ :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)
and
(e) Based on the data, can we conclude (using the 0.05 level) that there is a significant linear
relationship between drug dosage and the heartrate of a mouse and hour after drug ingestion?
OYes No
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An experimental drug is being tested on mice. Different mice were given different dosages of the drug and, among other things, the heartrates of the mice were
measured an hour after the drug was ingested. For a random sample of 75 mice, the least-squares regression equation relating the dosage and heartrate was
y = 72.53-1.61x. (In this equation, x represents the dosage, in milligrams, and y represents the heartrate, in beats per minute.) The standard error of the
slope of this least-squares regression line is approximately 0.65.
[ami]
D
1
Based on this information, test whether there is a significant linear relationship between the drug dosage and the heartrate of a mouse and hour after drug
ingestion by doing a hypothesis test regarding the population slope B₁. (Assume that the variable y follows a normal distribution for each value of x and that the
other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below.
(If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
В
PH
X
Ho :O
H₁:0
0-0 OSO
(b) Determine the type of test statistic to use.
Choose onel
0²0000<0
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Transcribed Image Text:esc
An experimental drug is being tested on mice. Different mice were given different dosages of the drug and, among other things, the heartrates of the mice were
measured an hour after the drug was ingested. For a random sample of 75 mice, the least-squares regression equation relating the dosage and heartrate was
y = 72.53-1.61x. (In this equation, x represents the dosage, in milligrams, and y represents the heartrate, in beats per minute.) The standard error of the
slope of this least-squares regression line is approximately 0.65.
[ami]
D
1
Based on this information, test whether there is a significant linear relationship between the drug dosage and the heartrate of a mouse and hour after drug
ingestion by doing a hypothesis test regarding the population slope B₁. (Assume that the variable y follows a normal distribution for each value of x and that the
other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below.
(If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
В
PH
X
Ho :O
H₁:0
0-0 OSO
(b) Determine the type of test statistic to use.
Choose onel
0²0000<0
©2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
60°F Cloudy AG
Submit Assignment
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12:29 PM
Ę
5/2/2022
940)
O E 0
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SLOVENS
UV
delete
home
prt sc
*
←backspace
EH
1
1
?
a
2
#
3
14
$
%
5
16
6
c
&
7
8
hp
19 144
9
fo
)
O
lock
7
1
8
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