Answer the following questions using the relevant table or Excel when necessary.

Question

Answer the following questions using the relevant table or Excel when necessary. Then place your answers in the yellow highlighted cells when necessary A sample of 20 items provides a sa ple standard deviation of 11 Test the following hypotheses using : . what s your condus on? Use both the-a e approach and the critica value approach. Ho: ^2 S 50 Ha: ^2 > 50 Please use Excel to answer the following questions: p-value approach: p-value: Please use 4 decimals in your answer Conclusion: Critical value approach: 05 Conclusion:

Explanation / Answer

n = 20

s = 11

At = 0.05, we need to test the following hypothesis-

Ho: ^2 <= 50

H1: ^2 > 50

2 test using P-value and Critical value approach-

P-Value:

2 = (n-1)* (s/)^2

= 19* (121/50) = 45.98

For this value of Chi-Square and 19 df, P-value = 0.000499

This can be obtained using the function =CHISQ.DIST.RT(45.98,19)

Where 2 = 45.98 and df = 19

Conclusion: p<

So, we can reject the null hypothesis

Critical-Value approach:

The Critical value can be found out using the function =CHISQ.INV(0.95,19)

where 0.95 is the probability and 19 is the df

Now, as per the above calculations,

2 = 45.98

As per the function,  2 critical = 30.14

2 > 2 critical

So, as per the rule, reject the null hypothesis

Let me know if you need anything else, if not please don't forget to like the answer :)

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