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US adults consume an average of 3,400 mg of sodium each day. We wanted to find out if a 5 minute health video would help people control their salt intake. After watching the video, the 36 participants in our study had a mean sodium intake of 3,200 mg with a standard deviation of 600 mg. What type of statistical test should we run to find out if there was a difference between our group and the general population

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okpalawalter8

Answer:

a)  Z Test(n>30)

b)  [tex]t=2.028[/tex]

Step-by-step explanation:

Average [tex]A=3400[/tex]

Mean [tex]\=x=3200[/tex]

Sample size [tex]n=36[/tex]

Standard deviation [tex]\sigma=600mg[/tex]

Generally using the Z Test(n>30)

Generally the equation for Standard Error S.E is mathematically given by

[tex]S.E=\frac{600}{\sqrt{36}}[/tex]}

[tex]S.E=100[/tex]

Generally the equation for Z test is mathematically given by

[tex]Z=\frac{\=x-A}{\sigma\sqrt{n}}[/tex]

[tex]Z=\frac{3200-3400}{600\sqrt{36}}[/tex]

[tex]Z=-2[/tex]

From table

[tex]T critical= (Z,df)[/tex]

Where

[tex]df=n-1[/tex]

[tex]df=35[/tex]

Therefore

[tex]t=2.028[/tex]

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