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3. A certain brand of tissues has 60 tissues in a standard box because the manufacturers believe that this is the average number of times people blow their nose during a cold. A research of the company checking on the validity of this claim, asked a random sample of 100 people to count the number of times they blow their nose during a cold. The mean of the sample was 57 and the standard deviation was 16. Do these data support the company's belief? Should the company continue to put 60 tissues in a box? Use a two-tailed hypothesis testing procedure with a of .05. Carry out all nine steps of the hypothesis testing procedure.

3. A certain brand of tissues has 60 tissues in a standard box because the manufacturers believe that this is the average number of times people blow their nose during a cold. A research of the company checking on the validity of this claim, asked a random sample of 100 people to count the number of times they blow their nose during a cold. The mean of the sample was 57 and the standard deviation was 16. Do these data support the company's belief? Should the company continue to put 60 tissues in a box? Use a two-tailed hypothesis testing procedure with a of .05. Carry out all nine steps of the hypothesis testing procedure.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Question 3:** A certain brand of tissues has 60 tissues in a standard box because the manufacturers believe that this is the average number of times people blow their nose during a cold. A research team from the company, checking on the validity of this claim, asked a random sample of 100 people to count the number of times they blow their nose during a cold. The mean of the sample was 57 and the standard deviation was 16. Do these data support the company's belief? Should the company continue to put 60 tissues in a box? Use a two-tailed hypothesis testing procedure with a significance level (α) of 0.05. Carry out all nine steps of the hypothesis testing procedure. **Question 4:** ACT composite scores are normally distributed with a mean (μ) of 21. A sample of 25 students is randomly selected from a local high school with a sample mean (X̄) of 23 and a sample standard deviation (s) of 5.2. Do the data support the claim that the average ACT composite score of students from this high school is different than 21 on the ACT composite score, using a significance level (α) of 0.05?
Transcribed Image Text:**Question 3:** A certain brand of tissues has 60 tissues in a standard box because the manufacturers believe that this is the average number of times people blow their nose during a cold. A research team from the company, checking on the validity of this claim, asked a random sample of 100 people to count the number of times they blow their nose during a cold. The mean of the sample was 57 and the standard deviation was 16. Do these data support the company's belief? Should the company continue to put 60 tissues in a box? Use a two-tailed hypothesis testing procedure with a significance level (α) of 0.05. Carry out all nine steps of the hypothesis testing procedure. **Question 4:** ACT composite scores are normally distributed with a mean (μ) of 21. A sample of 25 students is randomly selected from a local high school with a sample mean (X̄) of 23 and a sample standard deviation (s) of 5.2. Do the data support the claim that the average ACT composite score of students from this high school is different than 21 on the ACT composite score, using a significance level (α) of 0.05?
**5.** Nationwide, the average total amount of student loan debt in 2012 is normally distributed with a μ = $29,400. Assume that a sample of 36 students is randomly selected from a public university. Their student loans have X̄ = $27,400 and s = $9,000. Conduct a proper statistical procedure to test whether the average student loan in this public university is different from $29,400, using α = .10. --- **6.** SAT verbal scores are normally distributed with a μ = 500. A local high school has instituted a new program to engage students in reading. A sample of nine students from this high school is randomly selected following their participation in this reading program and their SAT verbal scores were reported: 600, 760, 550, 505, 660, 540, 480, 535, 455 Is the sample mean significantly different from the population mean?
Transcribed Image Text:**5.** Nationwide, the average total amount of student loan debt in 2012 is normally distributed with a μ = $29,400. Assume that a sample of 36 students is randomly selected from a public university. Their student loans have X̄ = $27,400 and s = $9,000. Conduct a proper statistical procedure to test whether the average student loan in this public university is different from $29,400, using α = .10. --- **6.** SAT verbal scores are normally distributed with a μ = 500. A local high school has instituted a new program to engage students in reading. A sample of nine students from this high school is randomly selected following their participation in this reading program and their SAT verbal scores were reported: 600, 760, 550, 505, 660, 540, 480, 535, 455 Is the sample mean significantly different from the population mean?
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