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Answer:
c) use the student t- distribution.
t = 22.23
t= 22.23 > 1.645 at 149 degrees of freedom
Null hypothesis is rejected
Step-by-step explanation:
<u>Step (i)</u>:-
Given sample size 'n' =150
The mean RDA of sodium is 2400mg
The mean of the Population 'μ' = 2400mg
Given mean of the sample x⁻ = 3400
The standard deviation of the sample 'S' = 550
<u>Step(ii):</u>-
Null hypothesis :H₀: μ = 2400
Alternative hypothesis : H₁: μ ≠2400
The test of statistic
degrees of freedom γ= n-1 = 150 -1 =149
t₀.₉₅ = 1.645
<u>Conclusion:</u>-
t= 22.23 > 1.645 at 149 degrees of freedom
Null hypothesis is rejected
The mean RDA of sodium is not equal to 2400mg