Consider the following hypothesis from a sample of 22 observations that has the value t = 2.24: 2. Ho:u8 Hai4>8 What are the degrees of freedom for this statistic? a. b. Give the two critical values t* from Distribution table that bracket t Between what two values does the P-value of the test fall? c. Is the value t 2.24 statistically significant at the 5% level? Is it statistically significant at d. the 1% level? Use Stata to find the exact P-value. What is the exact Stata command you used to find the exact P-value? [Hint: ttail] e. True, False, or Uncertain. In each of the following situations, state whether each statement is true, false, or uncertain, and explain your answer. Your score is evaluated on the explanation you provide, therefore, if you do not provide explanation, you will not receive any credit even if you stated true, false, or uncertain correctly 1. As the degrees of freedom k decrease, the t distribution density curve gets closer to the N(0,1) a. curve. The standard error of the sample mean is s/n b. A researcher wants to test Ho: = 30 versus the one sided alternative Ha:x< 30 c. d. The 95% margin of error for the mean u of a Normal population with unknown o is the same for all SRS of size n.

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3. Consider the following hypothesis from a sample of 13 observations that has the value ? = 2.78: ?0:? = 40

??:? ≠ 40

a.)What are the degrees of freedom for this statistic?

b.)Give the two critical values ?∗ from t Distribution table that bracket t.

c.)Between what two values does the P-value of the test fall?

d.)Is the value ? = 2.78 statistically significant at the 5% level? At the 1% level?

e.)Use Stata to find the exact P-value. What is the Stata command you used to find the exact P- value?

Consider the following hypothesis from a sample of 22 observations that has the value t = 2.24:
2.
Ho:u8
Hai4>8
What are the degrees of freedom for this statistic?
a.
b. Give the two critical values t* from Distribution table that bracket t
Between what two values does the P-value of the test fall?
c.
Is the value t 2.24 statistically significant at the 5% level? Is it statistically significant at
d.
the 1% level?
Use Stata to find the exact P-value. What is the exact Stata command you used to find the
exact P-value? [Hint: ttail]
e.
Transcribed Image Text:Consider the following hypothesis from a sample of 22 observations that has the value t = 2.24: 2. Ho:u8 Hai4>8 What are the degrees of freedom for this statistic? a. b. Give the two critical values t* from Distribution table that bracket t Between what two values does the P-value of the test fall? c. Is the value t 2.24 statistically significant at the 5% level? Is it statistically significant at d. the 1% level? Use Stata to find the exact P-value. What is the exact Stata command you used to find the exact P-value? [Hint: ttail] e.
True, False, or Uncertain. In each of the following situations, state whether each statement is true,
false, or uncertain, and explain your answer. Your score is evaluated on the explanation you provide,
therefore, if you do not provide explanation, you will not receive any credit even if you stated true,
false, or uncertain correctly
1.
As the degrees of freedom k decrease, the t distribution density curve gets closer to the N(0,1)
a.
curve.
The standard error of the sample mean is s/n
b.
A researcher wants to test Ho:
= 30 versus the one sided alternative Ha:x< 30
c.
d.
The 95% margin of error for the mean u of a Normal population with unknown o is the same
for all SRS of size n.
Transcribed Image Text:True, False, or Uncertain. In each of the following situations, state whether each statement is true, false, or uncertain, and explain your answer. Your score is evaluated on the explanation you provide, therefore, if you do not provide explanation, you will not receive any credit even if you stated true, false, or uncertain correctly 1. As the degrees of freedom k decrease, the t distribution density curve gets closer to the N(0,1) a. curve. The standard error of the sample mean is s/n b. A researcher wants to test Ho: = 30 versus the one sided alternative Ha:x< 30 c. d. The 95% margin of error for the mean u of a Normal population with unknown o is the same for all SRS of size n.
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