Question

A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the

325​-mg upper limit set by regulations for​ "reduced sodium" franks. The mean sodium content for the sample was 321.7mg with a standard deviation of 17 mg. Assume that the assumptions and conditions for the test are met.

​a) Write appropriate hypothesis.:

​b) the test statistic: t=

C. The p value: p=

Answer 1

Here

               

a)

Null and alternative hypothesis would be

Ho: µ = 325

Ha: µ < 325

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To calculate test statistic and P-Value we will use Ti 83/84

Follow the path

STAT...TESTS...T-Test

Enter values as

result is

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b)

Test Statistic = -1.228

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c)

P-Value = 0.1135

Note : Please check rounding instructions for Test Statistic and P-value and round them accordingly.