Mathematics, 14.01.2021 09:50 princessbreanna0
Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 26.
Step 1
Recall that a Student's t distribution table lists critical values
tc
for a c confidence level. The table is arranged by column headings for c and by row headings for degrees of freedom d. f.
Decide which column to use by identifying the confidence level value.
c = 0.95 Correct: Your answer is correct. seenKey
0.95
Step 2
We are given that the sample size is 26. Therefore, n = 26 Correct: Your answer is correct. seenKey
26 .
Decide which row of the table to use by calculating the degrees of freedom using the formula d. f. = n − 1.
d. f. = n − 1
= 26 Correct: Your answer is correct. seenKey
26 − 1
= 25 Correct: Your answer is correct. seenKey
25
Step 3
From the distribution table, find the column heading for c = 0.950 and read down the column until you reach the entry in the row headed by d. f. = 25. The intersection of the column and row in the table is the value of
t0.95
for a sample of size 26.
tc = Incorrect: Your answer is incorrect.
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Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 26.
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