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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

Respuesta :

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

        [tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]

        [tex]t = \frac{3400-2400}{\frac{550}{\sqrt{150} } } = 22.23[/tex]

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

 

     

MrRoyal

The appropriate approach is the student t distribution

How to determine the appropriate approach

The sample data are:

Sample size, n = 150

x = 3400

Sample standard deviation, [tex]\sigma[/tex] = 550

The population data is given as:

Population mean, [tex]\mu[/tex] = 2400

Notice that the population standard deviation is not given.

When the population standard deviation is not given, we make use of the student t distribution

Hence, the appropriate approach is the student t distribution

Read more about student t distribution at:

https://brainly.com/question/17305237

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