Suppose that Kira is measuring the amount of sleep that the residents of Decatur County get per night. She does not know thestandard deviation, nor does she know the distribution of the amount of sleep all Decatur residents get. Therefore, she prefersto obtain a large sample.Kira thus enlists the help of her friend, Jadzia, who works for OkHarmony. This popular dating service finds matches for itsclients by how they respond to numerous survey questions. Jadzia slips Kira's question into the mix, and from the memberdatabase of over a thousand male and female singles, she is able to obtain a sample of 101 responses. The sample mean is6.62 hours a night with a sample standard deviation of 1.19 hours. There are no outliers in the sample.Kira plans to perform a t-test with an alpha level of α = 0.05 on the hypothesis that Decatur residents get an average of lessthan 8 hours of sleep per night. Evaluate all of the following five statements as true or false.The sample is a simple random sample.The population standard deviation is not known.There are no outliers in the sample.The population is normally distributed, or thesample size is large enough.The requirements for a t-test are met.00000Answer Bankfalsetrue

Given information: The sample mean is 6.62 hours a night with a standard deviation of 1.19 hours.

Answered: Suppose that Kira is measuring the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent year: Oprah Winfrey (3200), Michael Jordan (1700), Paul McCartney (1200), J. K. Rowling (1000), David Copperfield (1000), and Jerry Seinfeld (950). Find the range, variance, and standard deviation for the sample data. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? The range is $ million. (Round to the nearest integer as needed.) ...
Carlos and Devon both accepted new jobs at different companies. Carlos's starting salary is $32,000 and Devon's starting salary is $33,000. They are curious to know who has a better starting salary when compared to the salary distributions of their new employers. A website that collects salary information from a sample of employees for a number of major employers reports that Carlos's company offers a mean salary of $54,000 with a standard deviation of $6,000. Devon's company offers a mean salary of $44,000 with a standard deviation of $4,000. Find the z-scores corresponding to each of their starting salaries. Round to two decimal places, if necessary
The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
One study found a negative correlation between participant’s age and hours of sleep they got (as they got older, they slept less). Which additional fact would lead you to believe that the relationship between age and hours of sleep is one of causation and not correlation? Jim is 63 and sleeps more than he did when he 47. Josie is 40 and sleeps fewer hours than when she was 30. The participants were randomly selected, the sample size was large, and the participants did not know the goal of the study. Jennie sometimes has difficulty sleeping.
Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 32 shifts that she had a mean of 4.8 calls per shift. She knows that the population standard deviation for her shift is 1.4 calls. Jodi calculates from a random sample of 40 shifts that her mean was 4.2 calls per shift. She knows that the population standard deviation for her shift is 1.1 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.01 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
An instructor in a statistics course set a final exami- nation and also required the students to do a data analysis project. For a random sample of 10 students, the scores obtained are shown in the table. Find the sample correlation between the examination and proj- ect scores. Examination 81 62 74 78 93 69 72 83 90 84 Project 76 71 69 76 87 62 80 75 92 79
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. He tested a representative sample of the eggs and reported that 23% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 4 eggs at random, what is the mean of the number of eggs that test positive for salmonella?
Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage was 53.3%. During one off- season, Shag had been working with an assistant coach on his free-throw technique. During the next season, a simple random sample showed that Shaq made 26 of 39 free-throw attempts. Test the claim that Shaq has significantly improved his free-throw shooting using a 0.05 significance level. Check the conditions of the Central Limit Theorem for this scenario. Calculate the number of expected successes.
Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 40 shifts that she had a mean of 5.1 calls per shift. She knows that the population standard deviation for her shift is 1.2 calls. Jodi calculates from a random sample of 31 shifts that her mean was 5.8 calls per shift. She knows that the population standard deviation for her shift is 1.4 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.01 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 3 of 3 : Draw a conclusion and interpret the decision.
According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was $57,688. The distribution of salaries is assumed to be normally distributed with a standard deviation of $5,879. Someone would like to determine if registered nurses in Ohio have a greater average pay. To investigate this claim, a sample of 192 registered nurses is selected from the Ohio Board of Nursing, and each is asked their annual salary. The mean salary for this sample of 192 nurses is found to be $58,016.005. 1. Completely describe the sampling distribution of the sample mean salary when samples of size 192 are selected. 2. What conjecture has been made? 3. Using the distribution described in part a, what is the probability of observing a sample mean of 58,016.005 or more? 4. Based on the probability found, what conclusion can be reached?

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