Homework Help is Here – Start Your Trial Now!
Math
Statistics
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or ttable) H2 20 He: H1 HA: H1 H2 < 0 x₁ = 267 $1 = 37 n₁ = 11 22 = 295 $2 = 31 n2 = 11 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic a-2. Find the p-value. O 0.05 s p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.025 O 0.025 s p-value < 0.05 a-3. Do you reject the pull hypothesis at the 1% level?

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or ttable) H2 20 He: H1 HA: H1 H2 < 0 x₁ = 267 $1 = 37 n₁ = 11 22 = 295 $2 = 31 n2 = 11 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic a-2. Find the p-value. O 0.05 s p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.025 O 0.025 s p-value < 0.05 a-3. Do you reject the pull hypothesis at the 1% level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
See similar textbooks
icon
Related questions
Question
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or ttable) HØ: H1 HA: H1 - μ2 20 H2 < 0 x1 = 267 $1 = 37 n1 = 11 x2 = 295 52 = 31 n2 = 11 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic a-2. Find the p-value. O 0.05 ≤ p-value < 0.10 p-value > 0.10 O p-value < 0.01 0.01 s p-value < 0.025 O 0.025 ≤ p-value < 0.05 a-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is less than the significance level. No, since the value of the p-value is greater than the significance level. Yes, since the value of the p-value is greater than the significance level. a-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. +=+
Transcribed Image Text:Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or ttable) HØ: H1 HA: H1 - μ2 20 H2 < 0 x1 = 267 $1 = 37 n1 = 11 x2 = 295 52 = 31 n2 = 11 a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic a-2. Find the p-value. O 0.05 ≤ p-value < 0.10 p-value > 0.10 O p-value < 0.01 0.01 s p-value < 0.025 O 0.025 ≤ p-value < 0.05 a-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is less than the significance level. No, since the value of the p-value is greater than the significance level. Yes, since the value of the p-value is greater than the significance level. a-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. +=+
O We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. O We cannot conclude that population mean 1 is less than population mean 2. b-1. Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic b-2. Find the p-value. 0.05 ≤ p-value < 0.10 p-value > 0.10 p-value < 0.01 O 0.01 ≤ p-value < 0.025 O 0.025 ≤ p-value < 0.05 b-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is greater than the significance level. Yes, since the value of the p-value is greater than the significance level. O No, since the value of the p-value is less than the significance level. b-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. We cannot conclude that population mean 1 is less than population mean 2.
Transcribed Image Text:O We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. O We cannot conclude that population mean 1 is less than population mean 2. b-1. Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic b-2. Find the p-value. 0.05 ≤ p-value < 0.10 p-value > 0.10 p-value < 0.01 O 0.01 ≤ p-value < 0.025 O 0.025 ≤ p-value < 0.05 b-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is greater than the significance level. Yes, since the value of the p-value is greater than the significance level. O No, since the value of the p-value is less than the significance level. b-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. We cannot conclude that population mean 1 is less than population mean 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
O We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. O We cannot conclude that population mean 1 is less than population mean 2. b-1. Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic b-2. Find the p-value. 0.05 ≤ p-value < 0.10 p-value > 0.10 p-value < 0.01 O 0.01 ≤ p-value < 0.025 O 0.025 ≤ p-value < 0.05 b-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is greater than the significance level. Yes, since the value of the p-value is greater than the significance level. O No, since the value of the p-value is less than the significance level. b-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. We cannot conclude that population mean 1 is less than population mean 2.
Transcribed Image Text:O We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. O We cannot conclude that population mean 1 is less than population mean 2. b-1. Calculate the value of the test statistic under the assumption that the population variances are unknown and are not equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic b-2. Find the p-value. 0.05 ≤ p-value < 0.10 p-value > 0.10 p-value < 0.01 O 0.01 ≤ p-value < 0.025 O 0.025 ≤ p-value < 0.05 b-3. Do you reject the null hypothesis at the 1% level? Yes, since the value of the p-value is less than the significance level. No, since the value of the p-value is greater than the significance level. Yes, since the value of the p-value is greater than the significance level. O No, since the value of the p-value is less than the significance level. b-4. Interpret the results at a = 0.01. We conclude that the population means differ. We cannot conclude that the population means differ. We conclude that population mean 1 is less than population mean 2. We cannot conclude that population mean 1 is less than population mean 2.
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS