Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from two populations.
Sample 1 | Sample 2 |
---|---|
n1 = 35 |
n2 = 40 |
x1 = 13.6 |
x2 = 10.1 |
s1 = 5.9 |
s2 = 8.5 |
(a)
What is the value of the test statistic? (Use
x1 − x2.
Round your answer to three decimal places.)
(b)
What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.)
(c)
What is the p-value? (Round your answer to four decimal places.)
The statistical software output for this problem is:
On the basis of above output:
a) Point estimate = 3.5
b) Degrees of freedom = 69
c) p - Value = 0.0402
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 80 n2 = 70 x1 = 104 x2 = 106 σ1 = 8.4 σ2 = 7.2 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.)...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.4 s2 = 8.1 (a) What is the value of the test statistic? (Use x1 − x2. Round your answer to three...
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