Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriatetable: chi-square table or Ftable)Ho: 01/02 1HA: 02/02 < 1Sample 1: s² = 1,315, and n1Sample 2: s= 1,523, and n2 = 19a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.)Test statisticb-1. Find the p-value.= 17O p-value < 0.01O 0.01 ≤ p-value < 0.025O 0.025 ≤ p-value < 0.050.05 ≤ p-value < 0.10O p-value ≥ 0.10b-2. At a = 5%, what is your conclusion?Reject Ho; we can say that variance 1 is lower than variance 2.Reject Ho; we cannot say that variance 1 is lower than variance 2.O Do not reject Ho; we can say that variance 1 is lower than variance 2.O Do not reject Ho; we cannot say that variance 1 is lower than variance 2.

Test statistic for testing the two variances is given by, F=( s12/n1)/(s22/n2) F=…

Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriate table: chi-square table or Ftable) Ho: 01/02 1 HA: 02/01 Sample 1: s= 1,315, and n₁ = 17 Sample 2: s2 = 1,523, and n2 = 19 a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.) Test statistic b-1. Find the p-value. O p-value < 0.01 O 0.01 ≤ p-value < 0.025 O 0.025 ≤ p-value < 0.05 O 0.05 ≤ p-value < 0.10 O p-value ≥ 0.10 b-2. At a = 5%, what is your conclusion? O Reject Ho; we can say that variance 1 is lower than variance 2. O Reject Ho; we cannot say that variance 1 is lower than variance 2. Do not reject He; we can say that variance 1 is lower than variance 2. O Do not reject Ho; we cannot say that variance 1 is lower than variance 2.

Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriate table: chi-square table or Ftable) Ho: 01/02 1 HA: 02/01 Sample 1: s= 1,315, and n₁ = 17 Sample 2: s2 = 1,523, and n2 = 19 a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.) Test statistic b-1. Find the p-value. O p-value < 0.01 O 0.01 ≤ p-value < 0.025 O 0.025 ≤ p-value < 0.05 O 0.05 ≤ p-value < 0.10 O p-value ≥ 0.10 b-2. At a = 5%, what is your conclusion? O Reject Ho; we can say that variance 1 is lower than variance 2. O Reject Ho; we cannot say that variance 1 is lower than variance 2. Do not reject He; we can say that variance 1 is lower than variance 2. O Do not reject Ho; we cannot say that variance 1 is lower than variance 2.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriate
table: chi-square table or Ftable)
Ho: 01/02 1
HA: 02/02 < 1
Sample 1: s² = 1,315, and n1
Sample 2: s= 1,523, and n2 = 19
a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.)
Test statistic
b-1. Find the p-value.
= 17
O p-value < 0.01
O 0.01 ≤ p-value < 0.025
O 0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
O p-value ≥ 0.10
b-2. At a = 5%, what is your conclusion?
Reject Ho; we can say that variance 1 is lower than variance 2.
Reject Ho; we cannot say that variance 1 is lower than variance 2.
O Do not reject Ho; we can say that variance 1 is lower than variance 2.
O Do not reject Ho; we cannot say that variance 1 is lower than variance 2.

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