Question

The manufacturers of Oriental Spice Sauce are concerned that the sodium levels in their product vary too much. A package of the sauce is supposed to contain 1100mg of sodium with a standard deviation of 150mg. A sample of 19 packages was analyzed and the sample mean was 1120mg and the sample standard deviation was 241.0628mg. Is there evidence at α=0.1

that variation exceeds the desired level?

Step 3 of 5 :

Determine the value of the test statistic. Round your answer to three decimal places.

Answer 1

GIven Population Mean, = 1100

Population Srandard deviation = 150

Sample size ,n = 19

Sample Mean, = 1120

Sample variance, = 241.0628

Null hypothesis: Varince exceeds the desired level.

Alternative hypothesis: Variance does not exceeds the desired level.

The test statistic is given by

  

=  

= 0.3616

t    0.362

p value at 0.1 level of significance with (n-1)18 degrees of freedom is 0.360783.Here p value is > 0.1

The result is not significant hence we reject the null hypothesis.