1) The one-sample tstatistic for a test of H0:=42 versus H1:<42 based on n=15 ob
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Question
1)
The one-sample tstatistic for a test of H0:=42 versus H1:<42 based on n=15 observations has the value t=1.075, where H0 and H1are the null and alternative hypotheses, respectively. The sample size is denoted by n.
Use this ttable to determine which two pvalues bracket the pvalue of the test. Report your answers in decimal form as listed in the ttable.
pvalue of the test <?
2)
Suppose that a one-sample ttest for a population mean is being used to test the null hypothesis H0:=12.45 against the alternative H1:>12.45, based on data collected from a simple random sample of size 7. The one-sample tstatistic is calculated to be 1.122.
Use this table of tcritical values to determine the interval that captures the actual pvalue of this test. Different tables have different pvalues, so if you use a different table, your answers might not be marked as correct.
Enter your answer as a decimal using the precision from the table. If only one limit is in the table, leave the other limit blank.
?< pvalue <?
3)
Suppose that a one-sample ttest for a population mean is being used to test the null hypothesis H0:=15.72 against the alternative H1:15.72 based on data collected from a simple random sample of size 10. The one-sample tstatistic is calculated to be 0.881.
Use this table of tcritical values to determine the interval that captures the actual pvalue of this test. Different tables have different pvalues, so if you use a different table, your answers might not be marked as correct.
Enter each answer as a decimal using the precision from the table. If only one limit is in the table, leave the other limit blank.
?< pvalue <?
Explanation / Answer
a. pvalue of the test <?
p-value=0.1503
To find the p-value when using a t-table:
1) Look in the table for the row that matches your df
2) Find which column of data your statistic falls between -> that gives you your range for the p-value.
2.
here df=5 and t value=1.222------>> p-vaue : 0.10<p-value<0.15
3.
0.4< pvalue <0.5
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