Question

Determine which is the appropriate approach for conducting a hypothesis test. Claim: The mean RDA of sodium is 2400mg. Sample data: n= 150, x= 3400, S = 550. The sample data appear to come from a normally distributed population O
A. Use the normal distribution.

B. Use nonparametric or bootstrapping methods.

c. Use the Student t distribution

D. Use the Chi-square distribution

Answer 1

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:

Step (i):-

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

Step(ii):-

Null hypothesis :H₀: μ = 2400

Alternative hypothesis : H₁: μ ≠2400

The test of statistic

        $t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

        $t = \frac{3400-2400}{\frac{550}{\sqrt{150} } } = 22.23$

degrees of freedom γ= n-1 = 150 -1 =149

t₀.₉₅ =  1.645

Conclusion:-

t= 22.23 > 1.645 at 149 degrees of freedom

Null hypothesis is rejected

The mean RDA of sodium is  not equal to 2400mg