# A shareholders’ group is lodgi

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:

Ho: μ≥9
Ha: 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 lodgi

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 lodgi

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 lodgi

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 lodgi

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

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 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 lodgi

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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