A waitress keeps track of the tips she earns and knows that her mean tip is 15% with a standard deviation of 4%. Supposethat she uses this information to create a sampling distribution with samples of size 50What is the probability that a sample of tips will have a mean between 14% and 15.5%?

Question
Asked Nov 19, 2018
6 views
A waitress keeps track of the tips she earns and knows that her mean tip is 15% with a standard deviation of 4%. Suppose
that she uses this information to create a sampling distribution with samples of size 50
What is the probability that a sample of tips will have a mean between 14% and 15.5%?
help_outline

Image Transcriptionclose

A waitress keeps track of the tips she earns and knows that her mean tip is 15% with a standard deviation of 4%. Suppose that she uses this information to create a sampling distribution with samples of size 50 What is the probability that a sample of tips will have a mean between 14% and 15.5%?

fullscreen
check_circle

Expert Answer

Step 1

We have been given that a waitress keeps a track of the tips that she earns and knows that her mean tip is 15% with a standard deviation of 4%. She uses this information to create a sampling distribution with samples of size 50. We need to determine the probability that a sample of tips will have a mean between 14% and 15.5%. We will use normal distribution to determine the required probability.

Our first step is to find the z scores corresponding to the values x=14% and x = 15.5%.

Step 2

We will use the formula for z score as shown below to find the values of z scores corresponding to x = 14% and x = 15.5%

 

fullscreen
Step 3

z score corresponding to x = 1...

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: For T-tests on related measures, my number of subjects is odd. How do I calculate the differential i...

A: In such cases, you can turn to  Repeated measures ANOVA which can detect differences in mean scores ...

question_answer

Q: A student takes a multiple choice test that has 11 questions. Each question has four choices. The st...

A: Identifying the distribution:It is given that the student takes a multiple choice test that has 11 q...

question_answer

Q: 1). How would you measure both “general knowledge” and “judgment” (what are your operational definit...

A: 1)The “general knowledge” and “judgement” of the participants can be measured by a series of tests g...

question_answer

Q: Hi. I need help with part (c) only. Consider the accompanying 2 × 3 table displaying the sample prop...

A: Let us assume the total sample size be n. Writing the given proportions as number of people we get a...

question_answer

Q: This study investigated the cognitive effects of stimulant medication in children with Attention-Def...

A: Solution:The appropriate statistical analysis to determine if there is an effect of drug dose on CPT...

question_answer

Q: Which variable is most likely to be an independent variable? reading test score stress level runnin...

A: An independent variable is one whose variation does not depend on any other variable and it is under...

question_answer

Q: A group says that the mean daily lodging cost for a family traveling in Region 1 is the same as in R...

A: Given the data of mean daily lodging cost for a family traveling in Region 1 and Region 2.The claim ...

question_answer

Q: In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6...

A: The provided details:

question_answer

Q: What is the “third factor” problem concerning correlational studies as it relates to inferring causa...

A: The correlation between any two variables is the linear relationship between those variables, but it...