# Consider the following hypothesis from a sample of 13 observations that has the value t = 2.78:3.Ho:u 40Haiu40What are the degrees of freedom for this statistic?a.Give the two critical values t* from t Distribution table that bracket tb.Between what two values does the P-value of the test fall?c.Is the value t 2.78 statistically significant at the 5% level? At the 1% level?d.Use Stata to find the exact P-value. What is the Stata command you used to find the exact Pe.value?

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a) The degrees of freedom for t-test is n-1. Here, the sample size is 13. Therefore, the degrees of freedom is 12 (=13-1)

b) The critical value can be obtained from t table...

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