A student is interested in knowing if there is a relationship between the age of a child and the amount of time spent on the computer. He asks 7 people their ages and the number of hours they spend on the computer. Is there a relationship between age and the amount of time spent on computers? Test at a = .05 level of significance. Age of child (yrs) Time on computer (hrs) 11 17 4. 7. 2 10 4 13 8 5-7

A student is interested in knowing if there is a relationship between the age of a child and the amount of time spent on the computer. He asks 7 people their ages and the number of hours they spend on the computer. Is there a relationship between age and the amount of time spent on computers? Test at a = .05 level of significance. Age of child (yrs) Time on computer (hrs) 11 17 4. 7. 2 10 4 13 8 5-7

Name: A student is interested in knowing if there is a relationship between
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A student is interested in knowing if there is a relationship between theage of a child and the amount of time spent on the computer. He asks 7people their ages and the number of hours they spend on the computer.Is there a relationship between age a

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

See similar textbooks

Related questions

Q: The data shown below consists of the price (in dollars) of 7 events at a local venue and the number…

A: Correlation: The correlation value is obtained using EXCEL. The software procedure is given below:…

Q: The Rosenberg self-esteem questionnaire is a 10-item scale, using a 4-point Likert scale format in…

Q: The R&D department of a paint company has developed an additive that it hopes will increase the…

A: For the given data Perform t test for one mean

Q: The article “Well-fed Crickets Bowl Maidens Over” reports that female field crickets are attracted…

A: (Since it has been not mentioned which question so, as per our protocol we shall only answer the…

Q: A sample of blood pressure measurements is taken from a data set and those values (mm Hg) are listed…

Q: 9. Does this scatter plot show a positive association, negative association, or no association?…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: To measure the relationship between emotional intelligence and marital satisfaction, a psychologist…

Q: A researcher is studying the effects of the college experience on attitudes, values, and behaviors…

A: given information: FRESHMAN SENIORS mean1=2.07 mean2=2.17s1=1.23…

Q: Five strains of bacteria were observed for 24 hours. The table given to the right reports bacteria…

A: The random variable strain follows normal distribution. There are 5 independent samples which are A,…

Q: Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The…

A: Ticket Price (X) Attendence (Y) (x-xbar) (x-xbar)^2 (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 6 153…

Q: A study is designed to investigate whether there is a difference in response to various treatments…

A: For the given data, the chi-square test for association is appropriate.Null Hypothesis:There is no…

Q: Mika studies if age correlates with the average number of hours of sleep, so she selected a random…

A: Given that

Q: It is claimed that the average number of vehicles using the GB's parking lot each day is 244…

A: Solution : Given : X : No. of vehicles using parking lot = 230, 244, 233, 240, 249, 238, 247,…

Q: the

A: Correlation: Correlation is a statistic that measures the degree to which two variables move in…

Q: The article “Well-fed Crickets Bowl Maidens Over” reports that female field crickets are attracted…

A: t-test: If the given sample size is less than or equal to 30 and sample standard deviation is given.…

Q: The article “Well-fed Crickets Bowl Maidens Over” reports that female field crickets are attracted…

A: In statistical inference, there are two types of estimation, Point estimation and Interval…

Q: A local judge has been allowing some individuals convicted of “driving under the influence” to work…

Q: The personal director of an engineering company believes that there is a significant positive…

A: 1] n=10 2] level of significance α=5%

Q: Find a 90% confidence interval for the coefficient of x2 in the regression equation. Round your…

A: Coefficient of x2 = 1.257 Standard error of x2 = 0.635 t-critical value at df = 12 and alpha(0.1) is…

Q: Recent reports suggest that children who grow up with family members who use drugs are more likely…

A: From the given information we conduct chi squared test.

Q: You have been asked to find if there is a correlation between the number of calories per serving in…

A: (a) Use EXCEL to construct the scatter plot. EXCEL procedure: Go to EXCEL Go to Insert menu…

Q: When people are anxious, they tend to be depressed. When they are depressed, they tend to be…

A: Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you…

Q: It is claimed that the average number of vehicles using the GB's Parking Lot each day is 244…

Q: a. Using a .05 level of significance, is the type of ticket purchased independent of the type of…

A: Introduction - Paired t-test t=x1-x2s12n1+s22n2where ,x1 and x2 are two means from different…

Q: A pediatrician wants to determine the relation that may exist between a child's Height (in.) Head…

A: The formula for the correlation coefficient is,

Q: A physics tuition teacher claims that the usual practice of going through exercises during the class…

A: Given: The provided data is: Class 1 2 3 4 5 6 Exercise during class 88 79 76 67 88 65…

Q: The systolic blood pressure of individuals is thought to be related to both age and weight. Let the…

A: Given:

Q: Mika studies if age correlates with the average number of hours of sleep, so she selected a random…

A: The total of x(age) = 146 Total of X^2 = 4258 Total of y^2 = 302 Total of y(sleep time) = 42 Total…

Q: A language teacher is interested to find out whether students who are good in English are also good…

A: The correlation coefficient is given by :

Q: A sample of 15, 10 years -old children was taken to study whether watching television reduces the…

A: a)

Q: A statistic teacher recorded the Math and Science test scores of twelve students from one section.…

A: Data X 18,16,11,15,15,11,11,13,8,9,13,7 Data Y 20,18,12,17,15,14,12,14,10,13,12,9

Q: Listed below are the overhead widths (in cm) of seals measured from photographs and the weights of…

A: The data shows the overhead widths of seals and the weights of the seals.

Q: A doctor wants to know if a blood pressure medication is effective. Six subjects have their blood…

A: Answer: To know whether a blood pressure medication is effective or not we need to perform Paired…

Q: How many pairs of shoes does a typical teenage boy own? To find out, two AP Statistics students…

Q: A student is interested in knowing if there is a relationship between the age of a child and the…

A: Given observation and calculation is shown below Age of child(x) Time doing(y) x2 y2 xy 11 5…

Q: sted below are the overhead widths (in cm) of seals measured from photographs and the weights of the…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: At the .05 significance level, does the data below show significant correlation? y 5 22.1 6 20.35 7…

A: X:5,6,7,8,9,10,11 Y:22.1,20.35,17.2,16.85,8.2,17.45,17

Q: 14. An NPR report claims that lower GPA's are associated with students who watch a higher number of…

A: (14)

Q: A car company wants to know the monthly sales made in ($000), based on the brand of vehicle. The…

A: For any random variable X, Mean, X=1n∑iXiThen the distribution of mean isE(X)=μand…

Q: The data shown below consists of the price (in dollars) of 7 events at a local venue and the number…

A: Consider that x and y are defined as the number the ticket price and attendances, respectively.…

Q: A teacher is interested to know whether the average number of hours spent by the students in…

A: Given:

Q: An introductory statistics class decides to investigate whether there is a relationship between the…

A: From the scatter plot we can see that the midterm 2 marks increases with the midterm 1 marks. We…

Q: Is there a relationship between treatment and smoking cessation? A study randomly selects a group of…

A: The data shows the treatment is measured on whether or not participants smoked in weeks 9-12 of the…

Q: A study is designed to investigate whether there is a difference in response to various treatments…

A: Given Information: A study is designed to investigate whether there is a difference in response to…

Q: When people are anxious, they tend to be depressed. When they are depressed, they tend to be…

A: Since, no question number is specified, we'll be answering the first question. Please resubmit the…

Q: Students in Professor Smith's business statistics course have evaluated the overall effectiveness of…

A: Given Data: n=30 Frequency of 3=6

Q: Mika studies if age correlates with the average number of hours of sleep, so she selected a random…

A: Given,

Q: Student 3 4 7 8. 9. 10 11 12 Pre test 73 76 45 77 65 44 51 53 78 70 46 79 Post Test 83 89 57 79 75…

A: Solution : The null and alternative hypothesis is given below:Null hypothesis:Ho:Md = 0That is,…

Q: The racial/ethnic diversity of post high school students enrolled at MVCC during the fall 2020…

A: Relative frequency distribution : The fraction or proportion of times a price happens is thought as…

Q: A statistic teacher recorded the Math and Science test scores of twelve students from one section.…

A: Correlation between X and Y: r=0.922.

Topic Video

Question

A student is interested in knowing if there is a relationship between the
age of a child and the amount of time spent on the computer. He asks 7
people their ages and the number of hours they spend on the computer.
Is there a relationship between age and the amount of time spent on
computers? Test at a = .05 level of significance.
Age of child (yrs)
Time on computer (hrs)
11
17
4.
10
4.
1
13
8.

Expert Solution

Step 1

Given:

S.No	x	y
1	11	5
2	17	7
3	4	0
4	7	2
5	10	4
6	5	1
7	13	8

1.Null Hypothesis H₀: There is no relationship between age and amount of time spent on computer.

$H_{0} : ρ = 0$

2.Alternative Hypothesis H₁: There is a relationship between age and amount of time spent on computer.

$H_{1} : ρ \neq 0$

Step 2

3.Level of Significance : Level of Significance is given as $α = 0.05$ .

4. Test Statistic :

$t = \frac{r \sqrt{n - 2}}{\sqrt{1 - r^{2}}}$

Where correlation r can be calculated from the formula,

$\begin{array}{rcl} r & = & \frac{n \sum_{}^{} x y - \sum_{} x \sum_{} y}{\sqrt{(n \sum_{} x^{2} - {(\sum_{} x)}^{2}) (n \sum_{} y^{2} - {(\sum_{} y)}^{2})}} \end{array}$

Correlation 'r' is calculated as below:

S.No	x	y	$x y$	$x^{2}$	$y^{2}$
1	11	5	55	121	25
2	17	7	119	289	49
3	4	0	0	16	0
4	7	2	14	49	4
5	10	4	40	100	16
6	5	1	5	25	1
7	13	8	104	169	64
Total	67	27	337	769	159

Step by step

Solved in 4 steps with 1 images

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill