Question

In order to ensure the consistency of their product, the Oriental Spice Sauce company has a strict policy that the standard deviation of the sodium content in the product is 140mg. For one size of bottle, the sodium content is supposed to be 900mg. In a random sample of 11 bottles, the standard deviation was found to be 275.4444mg. Is there evidence at ?=0.01 that the standard deviation of the sodium content exceeds the desired level? Assume the population is normally distributed.

Step 1 of 5: State the null and alternative hypotheses. Round to four decimal places when necessary.

Step 2 of 5:

Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.

Step 3 of 5:

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

Step 4 of 5:

Make the decision.

Step 5 of 5:

What is the conclusion?

Answer 1

Step 1:

Null Hypothesis

Alternative Hypothesis (Right Tailed Test )

Step 2:

Degrees of freedom = n-1= 11-1= 10

The critical value of Chi square for 10 df, at 1% significance level is 23.209

Step 3:

Under H0, the test statistic is

Step 4:

Since Chi square calculated is greter than critical value of chi square, REject H0.

Step 5:

Henec we have enough evidence that that the standard deviation of the sodium content exceeds the desired level (i.e. > 140mg)