Question

Exercise 1 Is there a linear relationship between the age at which a child first begins...

Exercise 1

Is there a linear relationship between the age at which a child first begins to speak and the child’s later mental ability? A study was conducted in which the age (in months) at which a child spoke their first words and the score on an aptitude test as a teenager were recorded:

Age

15

26

10

9

15

20

18

11

8

20

Score

95

71

83

91

102

87

93

100

104

94

  1. State the null and alternative hypotheses and the level of significance you intend to use.
  2. Write the equation for the appropriate test statistic.
  1. What is your decision rule? Be sure to include the degrees of freedom, if appropriate.
  2. Compute the test statistic by hand.

What is your conclusion about the null hypothesis and the research question? Be sure to comment on the magnitude and direction of the association.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Exercise 1 Is there a linear relationship between the age at which a child first begins...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A company would like to examine the linear relationship between the age and credit score of...

    A company would like to examine the linear relationship between the age and credit score of an individual. The following table shows the credit scores and ages of 5 randomly selected people. These data have a sample correlation coefficient, rounded to three decimal places, of 0.970. Using this data and a = 0.05, test if the population correlation coefficient between a person's age and credit score is different than zero. What conclusions can you draw? Age 39 27 55 26...

  • 1. A store manager wishes to find out whether there is a relationship between the age...

    1. A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the sample are shown. Age ()18 26 39 48 53 58 Days () 16 12 9 56 2 Draw the scatterplot and describe the association between the two variables. a) b) Is there a significant (nonzero) linear relationship between the age of the employees and the number of...

  • In this exercise, you will investigate the relationship between a worker's age and earnings. (Generally, older...

    In this exercise, you will investigate the relationship between a worker's age and earnings. (Generally, older workers have more job experience, leading to higher productivity and earnings.) The following table contains data for full-time, full-years workers, age 25-34, with a high school diploma or B.A./B.S. as their highest degree. Download the data from the table by clicking the download table icon 0 . A detailed description of the variables used in the data set is available here Use a statistical...

  • 7 1) Research has shown that activating negative stereotypes can have an effect on performance of...

    7 1) Research has shown that activating negative stereotypes can have an effect on performance of complex tasks (Jones & 8 Joans, 1972). To test this phenomenon, a sample of n-25 female college students was given a mental rotation task at noon on one day and s again at noon on the following day. On the first day, the students simply completed the task. However, on the second day, a negative stereotype was activated 10 prior to the task by...

  • A study followed 20 infants to find out when they speak their first word of English...

    A study followed 20 infants to find out when they speak their first word of English (in an English-speaking household). They found that the children were 13 months old on average when they spoke their first word; the data had a standard deviation of 4.93 months. What is the average age at which the population of children speak their first English word? First answer each of these questions: i) Does this call for a confidence interval or a hypothesis test?...

  • 1. (55 points) The investigators are interested in asses the relationship between Systolic Blood Pressure (SBP)...

    1. (55 points) The investigators are interested in asses the relationship between Systolic Blood Pressure (SBP) in mm Hg and Age in years among Hypertensive Patients. Specif- ically, whether a patient's SBP can be predicted from his or her age. They selected n=122 patients at random from a medical record database in a hospital. Assume that the simple linear regression model is appropriate. The following table shows regression output of a simple linear regression model relating the SBP to the...

  • BBA 403 TEST 3: Name: Score:_ SOLVE AND THOROUGHLY INTERPRET YOUR ANSWER 1. A marketing manager conducted a study to determine whether there is a linear relationship between many spent on adverti...

    BBA 403 TEST 3: Name: Score:_ SOLVE AND THOROUGHLY INTERPRET YOUR ANSWER 1. A marketing manager conducted a study to determine whether there is a linear relationship between many spent on advertising and company sales. The data are shown on the table below. Display the data in a scatter plot, calculate the correlation coefficient, state a conclusion, and interpret the result Adverstising Company Expense, (1000s of s) (1000s of ) 2.4 16 2.0 26 14 1.6 2.0 2.2 184 220...

  • 5-8 show work 5. 6. At a local high school 5000 juniors and seniors recently took...

    5-8 show work 5. 6. At a local high school 5000 juniors and seniors recently took an aptitude test. The results of the exam were normally distributed with mean - 450 and o = 50. Calculate the following: a. The PERCENT of students to the nearest tenth of a percent that scored over 425 b. The number of students that scored more than 475 c. The probability of a student selected at random having scored between 400 and 575 A...

  • Must be done in C# please! Thanks! In this assignment you will create a program named...

    Must be done in C# please! Thanks! In this assignment you will create a program named Test Scores that displays the average of all tests; average midterm score; average final score; and displays the midterm or final score of a particular student. Create a class level two dimensional integer array named Grades initialized with the following data: 897 242 301 987 116 450 865 128 992 109 88 75 94 70 90 87 81 79 97 79 78 80 92...

  • Part 1 You have been asked to estimate the mean number of seals killed by a...

    Part 1 You have been asked to estimate the mean number of seals killed by a polar bear in one year. The Polar Bear tab of this spreadsheeet contains a random sample of polar bears and their annual seal kills 1. What is your best estimate for the population mean? 2. If you are going to construct at 95% confidence interval, what is the appropriate critical value ("? 13. What is the 95% confidence interval for the population mean? Part...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT