The historical reports from two major networks showed that the mean number of commercials aired during prime time was equal for both networks last year. In order to find out whether they still air the same number of commercials on average or not, random and independent samples of 85 recent prime time airings from both networks have been considered. The first network aired a mean of 111.0 commercials during prime time with a standard deviation of 4.7. The second network aired a mean of 109.0 commercials during prime time with a standard deviation of 4.6. Since the sample sizes are quite large, assume that the population standard deviations can be estimated to be equal to the sample standard deviations, 4.7 and 4.6. At the 0.01 level of significance, is there sufficient evidence to support the claim that the mean number, u,, of commercials aired during prime time by the first station is not equal to the mean number, µ, of commercials aired during prime time by the second station? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O
The historical reports from two major networks showed that the mean number of commercials aired during prime time was equal for both networks last year. In order to find out whether they still air the same number of commercials on average or not, random and independent samples of 85 recent prime time airings from both networks have been considered. The first network aired a mean of 111.0 commercials during prime time with a standard deviation of 4.7. The second network aired a mean of 109.0 commercials during prime time with a standard deviation of 4.6. Since the sample sizes are quite large, assume that the population standard deviations can be estimated to be equal to the sample standard deviations, 4.7 and 4.6. At the 0.01 level of significance, is there sufficient evidence to support the claim that the mean number, u,, of commercials aired during prime time by the first station is not equal to the mean number, µ, of commercials aired during prime time by the second station? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O
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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![The historical reports from two major networks showed that the mean number of commercials aired during prime time was equal for both networks last year. In order to find out whether they still air the same number of commercials on average or not, random and independent samples of 85 recent prime time airings from both networks have been considered. The first network aired a mean of 111.0 commercials during prime time with a standard deviation of 4.7. The second network aired a mean of 109.0 commercials during prime time with a standard deviation of 4.6. Since the sample sizes are quite large, assume that the population standard deviations can be estimated to be equal to the sample standard deviations, 4.7 and 4.6. At the 0.01 level of significance, is there sufficient evidence to support the claim that the mean number, μ₁, of commercials aired during prime time by the first station is not equal to the mean number, μ₂, of commercials aired during prime time by the second station? Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\[ H_0 : \square \]
\[ H_1 : \square \]
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \square \]
(d) Find the \( p \)-value. (Round to three or more decimal places.)
\[ \square \]
(e) Can we support the claim that the mean number of commercials aired during prime time by the first station is not equal to the mean number of commercials aired during prime time by the second station?
○ Yes ○ No
**Symbols and Diagrams**
- Symbols such as μ, σ, p, \( \bar{x} \), s, \( \hat{p} \) are available to be used.
- Options include:
- Equal to (\(\square = \square\))
- Not equal to (\(\square \neq \square\))
- Less than (\(\square < \square\))
- Greater than (\(\square > \square\))
- Less than or equal to (\(\square \leq \square](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe53f16ab-a658-43ea-87b0-0607d7296018%2F0ccb1f18-354a-47d6-a62d-240a4f5e0738%2F9zxowd9_processed.png&w=3840&q=75)
Transcribed Image Text:The historical reports from two major networks showed that the mean number of commercials aired during prime time was equal for both networks last year. In order to find out whether they still air the same number of commercials on average or not, random and independent samples of 85 recent prime time airings from both networks have been considered. The first network aired a mean of 111.0 commercials during prime time with a standard deviation of 4.7. The second network aired a mean of 109.0 commercials during prime time with a standard deviation of 4.6. Since the sample sizes are quite large, assume that the population standard deviations can be estimated to be equal to the sample standard deviations, 4.7 and 4.6. At the 0.01 level of significance, is there sufficient evidence to support the claim that the mean number, μ₁, of commercials aired during prime time by the first station is not equal to the mean number, μ₂, of commercials aired during prime time by the second station? Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\[ H_0 : \square \]
\[ H_1 : \square \]
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
\[ \square \]
(d) Find the \( p \)-value. (Round to three or more decimal places.)
\[ \square \]
(e) Can we support the claim that the mean number of commercials aired during prime time by the first station is not equal to the mean number of commercials aired during prime time by the second station?
○ Yes ○ No
**Symbols and Diagrams**
- Symbols such as μ, σ, p, \( \bar{x} \), s, \( \hat{p} \) are available to be used.
- Options include:
- Equal to (\(\square = \square\))
- Not equal to (\(\square \neq \square\))
- Less than (\(\square < \square\))
- Greater than (\(\square > \square\))
- Less than or equal to (\(\square \leq \square
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