1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondor19780726 [428]
3 years ago
14

We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2

.4 hours. Answer the following questions, assuming the distribution of the number of television hours is normal. What is the Z score for a person who watches more than 8 hrs/day. What proportion of people watch 5 hrs/day or more television? How many does this correspond to in the sample? What number of television hours per day corresponds to a Z +1. What is the percentage of people who watch between 1 and 6 hours of television per day? Please round to a whole number
Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

a) 2.09167

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

0.89586 - 0.20469

= 0.69117

Converting to percentage,

0.69117 × 100%

= 69.117%

To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

You might be interested in
The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $8.00, and bags of cookies
vodka [1.7K]

Answer:

Number of bags of candy = 2

Number of bags of cookies = 7

Step-by-step explanation:

Let, number of bags of candy = X

So, Number of bags of cookies = X + 5

Cost of candy bag = $8

Cost of cookies bag = $2.5

Total sales = $33.50

So, Total cost of Candy Bags + Total cost of cookies bags = Total sales

= 8X + 2.5 ( X +5) = 33.50

= 8X + 2.5X + 12.5 = 33.50

= 10.5X = 33.50 - 12.5

= 10.5X = 21

X = 2

So, number of bags of candy = 2

Number of bags of cookies = 2 + 5 = 7

4 0
3 years ago
13. The red triangle shown is not
andreyandreev [35.5K]

Answer:

I cannot answer see no red triangle to Base an answer on sorry is this calculus never took that course

7 0
3 years ago
Question 4 (1 point)
FromTheMoon [43]

Answer:

Step-by-step explanation:

Inches to CM Conversion

1 Inch (in) is equal to 2.54 cm. To convert inches to cm, multiply the inch value by 2.54. For example, to find out how many cm is 12 inches, multiply 12 by 2.54, that makes 30.48 cm is 12 in.

3 0
3 years ago
What are the Mean, Median, Mode, and Range for number 6 7 8?<br><br> Please help
grandymaker [24]

Answer:

median i think 60

Step-by-step explanation:

median i think is 6

5 0
3 years ago
Read 2 more answers
The cover of a rectangular book has an area of 20 inches . If the books length is 3 times as long as it’s width explain how to f
zloy xaker [14]

Answer:

Step-by-step explanation:

If the books length (L) is three times as long as the width (W), the equation for area is this:

L · W = 20 inches,

3W · W = 20 inches -  substituting L for 3W

So then the books perimeter is

6 0
3 years ago
Other questions:
  • In a certain year, the U.S. Senate was made up of 53 Democrats, 45 Republicans, and 2 Independents who caucus with the Democrats
    13·1 answer
  • Zack deposited $1,200 in a savings account that paid 7.75% simple
    6·2 answers
  • Find the value of x? please help​
    7·2 answers
  • To solve the equation 2−5(3+4)=2+7,
    14·1 answer
  • What is the equation to (-3,1) and (0,-8)
    10·1 answer
  • Here are the city gas mileages for 13
    15·1 answer
  • Solve for x 4(1-x)+2x= -3(x+1)
    13·1 answer
  • I need help with these questions (see image). Please show workings.<br>​
    13·2 answers
  • If I graph x &gt; -13 would my point<br> be filled in or empty?
    14·1 answer
  • Eight years ago mario was 25% younger than he is now how old is mario now
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!