Suppose that we wish to test whether the population mean is greater than 80, where the population standard deviation is known to equal 20. Also, suppose that a random sample of 100 observations randomly selected has a mean equal to 84.Formulate the null and alterative hypotheses.Compute the p-value.Using α =0.01, what is your conclusion?Apply the critical value method when a = 0.1.

Question
Asked Apr 8, 2019
3 views
  1. Suppose that we wish to test whether the population mean is greater than 80, where the population standard deviation is known to equal 20. Also, suppose that a random sample of 100 observations randomly selected has a mean equal to 84.
    1. Formulate the null and alterative hypotheses.
    2. Compute the p-value.
    3. Using α =0.01, what is your conclusion?
    4. Apply the critical value method when a = 0.1.
check_circle

Expert Answer

Step 1

It is required to test whether the population mean is greater than 80 or not. Here, the population standard deviation is known and the sample size is greater than 30. So, the test is right sided and the appropriate test statistic is z-statistic.

The provided values are:

fullscreen
Step 2

2. The P-value for the right-sided test can be calculated as follows:

fullscreen
Step 3
  1. The null hypothesis (Ho) is rejected if the P-value is less than the...
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. Fin...

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the ...

question_answer

Q: Using 50 random numbers given below, compute the mean and standard deviation 0.299752 0.939920 0.427...

A: Standard deviation of a sample tells how the values are spread out from mean of the sample. A low st...

question_answer

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: (a)The scatter diagram for the provided data can be plotted using Excel.The steps are given below:En...

question_answer

Q: In a union-management negotiation, the following are the percentages of annual wage increase gained ...

A: Let’s make a table to see this data M1M2M3U1133U2422U3314U4332U5312

question_answer

Q: A simple random sample of n=23 professors at a local community college have a mean course evaluation...

A: Solution:Null and alternative hypotheses:Null hypothesis: µ = 4Alternative hypothesis: µ ≠ 4Test sta...

question_answer

Q: Given a standardized normal distrubtion (with a mean of 0 and a standard deviation of 1, as in Table...

A: Standard normal distribution:The standard normal distribution is a special case of normal distributi...

question_answer

Q: 15.) The age in years of 11 children and the number of words in their vocabulary is given below:    ...

A: The equation of the regression line is:

question_answer

Q: Derby Leicester is a city planner preparing for a meeting with the mayor. He would like to show that...

A: Assumptions:The assumptions for a hypothesis test of the difference between two population means are...

question_answer

Q: Use the rank correlation coefficient to test for a correlation between the two variables. Use a sign...

A: In this question we have the ranks of judges, we need to conduct the hypothesis test to identify whe...