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Household size: For the past several years, the mean number of people in a household has been declining. A social scientist believes that in a certain large city, the mean number of people per household is less than 2.5. To investigate this, she takes a simple random sample of 160 households in the city, and finds that the sample mean number of people is 2.4 with a sample standard deviation of 1.6. Can you conclude that the mean number of people per household is less than 2.5? Ho:H =2.5 H :µ <2.5 Part: 0 / 4 Part 1 of 4 (a) Which test is appropriate here? OT test O Ztest Part: 1/ 4 Part 2 of 4 (b) Compute the value of the test statistic. Round your answer to three decimal places. The test statistic is

Household size: For the past several years, the mean number of people in a household has been declining. A social scientist believes that in a certain large city, the mean number of people per household is less than 2.5. To investigate this, she takes a simple random sample of 160 households in the city, and finds that the sample mean number of people is 2.4 with a sample standard deviation of 1.6. Can you conclude that the mean number of people per household is less than 2.5? Ho:H =2.5 H :µ <2.5 Part: 0 / 4 Part 1 of 4 (a) Which test is appropriate here? OT test O Ztest Part: 1/ 4 Part 2 of 4 (b) Compute the value of the test statistic. Round your answer to three decimal places. The test statistic is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Certainly! Here's the transcription of the image for an educational website: --- **Part 3 of 4** **(c) Do you reject \( H_0 \)? Use the \( \alpha = 0.01 \) level.** - [ ] Yes - [X] No **Part 4 of 4** **(d) State a conclusion.** We [Choose one ▼] enough evidence to conclude that the mean number of people per household is less than 2.5. --- In this section, users are provided with a part of a statistical hypothesis testing process. It involves determining if the null hypothesis (\( H_0 \)) should be rejected at a significance level (\( \alpha \)) of 0.01. The question is presented with two options, 'Yes' or 'No,' indicating whether the null hypothesis should be rejected. The chosen answer is 'No.' Additionally, in part (d), users are asked to state a conclusion about the hypothesis. There is a dropdown menu allowing the selection of wording to complete the statement regarding evidence sufficiency. The conclusion focuses on whether there is enough evidence to assert that the mean number of people per household is less than 2.5.
Transcribed Image Text:Certainly! Here's the transcription of the image for an educational website: --- **Part 3 of 4** **(c) Do you reject \( H_0 \)? Use the \( \alpha = 0.01 \) level.** - [ ] Yes - [X] No **Part 4 of 4** **(d) State a conclusion.** We [Choose one ▼] enough evidence to conclude that the mean number of people per household is less than 2.5. --- In this section, users are provided with a part of a statistical hypothesis testing process. It involves determining if the null hypothesis (\( H_0 \)) should be rejected at a significance level (\( \alpha \)) of 0.01. The question is presented with two options, 'Yes' or 'No,' indicating whether the null hypothesis should be rejected. The chosen answer is 'No.' Additionally, in part (d), users are asked to state a conclusion about the hypothesis. There is a dropdown menu allowing the selection of wording to complete the statement regarding evidence sufficiency. The conclusion focuses on whether there is enough evidence to assert that the mean number of people per household is less than 2.5.
Household size: For the past several years, the mean number of people in a household has been declining. A social scientist believes that in a certain large city, the mean number of people per household is less than 2.5. To investigate this, she takes a simple random sample of 160 households in the city, and finds that the sample mean number of people is 2.4 with a sample standard deviation of 1.6. Can you conclude that the mean number of people per household is less than 2.5? \[ H_0: \mu = 2.5 \] \[ H_1: \mu < 2.5 \] **Part: 0 / 4** **Part 1 of 4** (a) Which test is appropriate here? - [x] \( T \) test - [ ] \( Z \) test **Part: 1 / 4** **Part 2 of 4** (b) Compute the value of the test statistic. Round your answer to three decimal places. The test statistic is \(\_\_\_\_\_\)
Transcribed Image Text:Household size: For the past several years, the mean number of people in a household has been declining. A social scientist believes that in a certain large city, the mean number of people per household is less than 2.5. To investigate this, she takes a simple random sample of 160 households in the city, and finds that the sample mean number of people is 2.4 with a sample standard deviation of 1.6. Can you conclude that the mean number of people per household is less than 2.5? \[ H_0: \mu = 2.5 \] \[ H_1: \mu < 2.5 \] **Part: 0 / 4** **Part 1 of 4** (a) Which test is appropriate here? - [x] \( T \) test - [ ] \( Z \) test **Part: 1 / 4** **Part 2 of 4** (b) Compute the value of the test statistic. Round your answer to three decimal places. The test statistic is \(\_\_\_\_\_\)
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