Hypothesis Testing for a Mean (Large Samples)

The average credit card debt of college students is $3262. A college feels that students have much less credit card debt. In a random study of 50 college students, the mean credit card debt was $2995. The population standard deviation is $1100. At the level 𝛼 = 0.05, is the college’s claim correct?

Choose the appropriate null and alternative hypotheses.

The average credit card debt of college students is $3262. A college feels that students have much less credit card debt. In a random study of 50 college students, the mean credit card debt was $2995. The population standard deviation is $1100. At the level 𝛼 = 0.05, is the college’s claim correct?

What is the critical value?

The average credit card debt of college students is $3262. A college feels that students have much less credit card debt. In a random study of 50 college students, the mean credit card debt was $2995. The population standard deviation is $1100. At the level 𝛼 = 0.05, is the college’s claim correct?

What is the p-value?

The average credit card debt of college students is $3262. A college feels that students have much less credit card debt. In a random study of 50 college students, the mean credit card debt was $2995. The population standard deviation is $1100. At the level 𝛼 = 0.05, is the college’s claim correct?

What conclusion can we make?

The average credit card debt of college students is $3262. A college feels that students have much less credit card debt. In a random study of 50 college students, the mean credit card debt was $2995. The population standard deviation is $1100. At the level 𝛼 = 0.05, is the college’s claim correct?

Each person takes an average of 5000 steps per day. A researcher claims people who want a healthier lifestyle take more steps than average. In a study of 40 people, the mean number of steps taken per day was 5430 steps, with a population standard deviation of 600 steps. At the level 𝛼 = 0.10, can it be concluded that people with a healthier lifestyle take more than 5000 steps per day?

Choose the correct hypotheses.

Each person takes an average of 5000 steps per day. A researcher claims people who want a healthier lifestyle take more steps than average. In a study of 40 people, the mean number of steps taken per day was 5430 steps, with a population standard deviation of 600 steps. At the level 𝛼 = 0.10, can it be concluded that people with a healthier lifestyle take more than 5000 steps per day?

What is the critical value?

Each person takes an average of 5000 steps per day. A researcher claims people who want a healthier lifestyle take more steps than average. In a study of 40 people, the mean number of steps taken per day was 5430 steps, with a population standard deviation of 600 steps. At the level 𝛼 = 0.10, can it be concluded that people with a healthier lifestyle take more than 5000 steps per day?

What is the p-value?

Each person takes an average of 5000 steps per day. A researcher claims people who want a healthier lifestyle take more steps than average. In a study of 40 people, the mean number of steps taken per day was 5430 steps, with a population standard deviation of 600 steps. At the level 𝛼 = 0.10, can it be concluded that people with a healthier lifestyle take more than 5000 steps per day?

What conclusion can we make?

Each person takes an average of 5000 steps per day. A researcher claims people who want a healthier lifestyle take more steps than average. In a study of 40 people, the mean number of steps taken per day was 5430 steps, with a population standard deviation of 600 steps. At the level 𝛼 = 0.10, can it be concluded that people with a healthier lifestyle take more than 5000 steps per day?