Use the given information to answer parts (a) through (d). Upper H 0 : mu 1 equa

Question

Use the given information to answer parts (a) through (d). Upper H 0 : mu 1 equals mu 2 H0: 1=2, alpha equals 0.20 =0.20 Sample statistics: x overbar 1 equals 31.1 x1=31.1, s 1 equals 3.8 s1=3.8, n 1 equals 10 n1=10 x overbar 2 equals 32.6 x2=32.6, s 2 equals 2.1 s2=2.1, n 2 equals 2 n2=2 Assume sigma Subscript 1 Superscript 2 Baseline equals sigma Subscript 2 Superscript 2 21=22. negative t 0 equals negative 1.372 t0=1.372, t 0 equals 1.372 t0=1.372 -3 -2 -1 0 1 2 3 t A normal curve is over a horizontal t-axis labeled from negative 3 to 3 in increments of 1 and is centered on 0. Vertical line segments extend from the horizontal axis to the curve at negative 1.372 and 1.372. The areas under the curve and to the left of negative 1.372 and to the right of 1.372 are shaded. (a) Find the test statistic. negative 1.5 1.5 (b) Find the standardized test statistic. t equals = nothing (Type an integer or decimal rounded to three decimal places as needed.)

Explanation / Answer

From following results test statistic t== -0.53 with P-Value = 0.609>0.05. Hence there is no significant difference

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean
1 10 31.10 3.80 1.2
2 2 32.60 2.10 1.5

Difference = (1) - (2)
Estimate for difference: -1.50
90% CI for difference: (-6.65, 3.65)
T-Test of difference = 0 (vs ): T-Value = -0.53 P-Value = 0.609 DF = 10
Both use Pooled StDev = 3.6657

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