A shareholders’ group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 80 companies reported in The Wall Street Journal found a sample mean tenure of 8 years for CEOs with a standard deviation of s= 4 years (The Wall Street Journal, January 2, 2007). You don’t know the population standard deviation but can assume it is normally distributed.

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.05. Your hypotheses are:

H_{o}_{:} μ≥9

H_{a}_{:} μ<9

What is the test statistic for this sample?

test statistic =

(Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value =

(Report answer accurate to 4 decimal places.)

The p-value is…

- less than (or equal to) α
- greater than α

This test statistic leads to a decision to…

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that…

- There is sufficient evidence to warrant rejection of the claim that the population mean is less than 9.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 9.
- The sample data support the claim that the population mean is less than 9.
- There is not sufficient sample evidence to support the claim that the population mean is less than 9.

A shareholders’ group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 120 companies reported in The Wall Street Journal found a sample mean tenure of 7.3 years for CEOs with a standard deviation of s=s= 5.8 years (The Wall Street Journal, January 2, 2007). You don’t know the population standard deviation but can assume it is normally distributed.

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.001α=0.001. Your hypotheses are:

Ho:μ≥9Ho:μ≥9

Ha:μ<9Ha:μ<9

What is the test statistic for this sample?

test statistic = (Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value = (Report answer accurate to 4 decimal places.)

A shareholders’ group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 69 companies reported in The Wall Street Journal found a sample mean tenure of 8.8 years for CEOs with a standard deviation of s=s= 4 years (The Wall Street Journal, January 2, 2007). You don’t know the population standard deviation but can assume it is normally distributed.

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.10α=0.10. Your hypotheses are:

Ho:μ=9Ho:μ=9

Ha:μ<9Ha:μ<9

What is the test statistic for this sample?

test statistic = (Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value = (Report answer accurate to 4 decimal places.)

The p-value is…

- less than (or equal to) αα
- greater than αα

This test statistic leads to a decision to…

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that…

- There is sufficient evidence to warrant rejection of the claim that the population mean is less than 9.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 9.
- The sample data support the claim that the population mean is less than 9.
- There is not sufficient sample evidence to support the claim that the population mean is less than 9.

A shareholders’ group is lodging a protest against your company. The shareholders’ group claimed that the mean tenure for a chief executive officer (CEO) was at least 11 years. A survey of 94 companies reported in The Wall Street Journal found a sample mean tenure of 10.6 years for CEOs with a standard deviation of s= 5.8 years (The Wall Street Journal, June 9, 2015). You don’t know the population standard deviation but can assume it is normally distributed.

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.02. Your hypotheses are:

Ho:μ=11

Ha:μ<11

What is the test statistic for this sample?

test statistic = (Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value = (Report answer accurate to 4 decimal places.)

The p-value is…

- less than (or equal to) α
- greater than α

This test statistic leads to a decision to…

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that…

- There is sufficient evidence to warrant rejection of the claim that the population mean is less than 11.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 11.
- The sample data support the claim that the population mean is less than 11.
- There is not sufficient sample evidence to support the claim that the population mean is less than 11.

A shareholders’ group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 10 years. A survey of 54 companies reported in The Wall Street Journal found a sample mean tenure of 8.4 years for CEOs with a standard deviation of s=s= 4.3 years (The Wall Street Journal, January 2, 2007). You don’t know the population standard deviation but can assume it is normally distributed.

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.01. Your hypotheses are:

Ho:μ≥10

Ha:μ<10

test statistic = (Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value = (Report answer accurate to 4 decimal places.)

The p-value is…???

- less than (or equal to) αα
- greater than αα

This test statistic leads to a decision to…???

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that…??

There is sufficient evidence to warrant rejection of the claim that the population mean is less than 10.

- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 10.
- The sample data support the claim that the population mean is less than 10.
- There is not sufficient sample evidence to support the claim that the population mean is less than 10.

A shareholders’ group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 11 years. A survey of 67 companies reported in The Wall Street Journal found a sample mean tenure of 9 years for CEOs with a standard deviation of s=s= 4.8 years (The Wall Street Journal, January 2, 2007). You don’t know the population standard deviation but can assume it is normally distributed.

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.05. Your hypotheses are:

Ho:μ≥11

Ha:μ<11

What is the test statistic for this sample?

test statistic = ? (Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value = ? (Report answer accurate to 4 decimal places.)

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