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
schepotkina [342]
3 years ago
5

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

le of 1 to 50, with 1 indicating they did not like the taste and 50 that they did. The ratings were: 34 39 40 46 33 31 34 14 15 45 In a parallel study, 10 young adults in Iowa rated the taste of the same pizza. The ratings were: 28 25 35 16 25 29 24 26 17 20 Click here for the Excel Data File Calculate the range, mean and variance. (Round "mean" to 1 decimal place and "variance" to 2 decimal places.)
Mathematics
1 answer:
timurjin [86]3 years ago
6 0

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:

μ₁ = \frac{34+39+40+46+33+31+34+14+15+45}{10} = 33.1

Calculating the <u>Mean</u> for the sample in Iowa:

μ₂ = \frac{28+25+35+16+25+29+24+26+17+20}{10} = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The <u>Variance</u> for the sample in <u>California</u> is

σ² = \frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}σ² = 120.50

The <u>Variance</u> for the sample in <u>Iowa</u> is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in <u>California</u>, the <u>Range</u> is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

  • Mean = 33.1;
  • Variance = 120.50;
  • Range = 32;

For Iowa:

  • Mean = 24.5;
  • Variance = 32.73;
  • Range = 19;

<u />

You might be interested in
Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How
lidiya [134]

Option A

The simple interest earned over 6 years is $ 4050

<em><u>Solution:</u></em>

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

<em><u>The formula for simple interest is given as:</u></em>

Simple\ Interest = \frac{p \times n \times r}{100}

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

p = 15000

r = 4.5 %

n = 6 years

<em><u>Substituting the values we get,</u></em>

Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050

Thus simple interest earned over 6 years is $ 4050

6 0
3 years ago
Anthony has a points card for a movie theater. He receives 85 rewards points just for signing up. • He earns 2.5 points for each
ArbitrLikvidat [17]

Equation: 2.5x + 85 = 100

Answer: x = 6

8 0
2 years ago
Read 2 more answers
Help me and please explain
k0ka [10]

Answer:

4 attendees

Step-by-step explanation:

we can create and equation (x is the amount of attendees) $8 per attendee at a total of $32 is 8x=32 which you divide on both sides getting x=4 or 4 attendees

4 0
3 years ago
A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. What is
Usimov [2.4K]
The volume of a cylinder can be calculated by multiplying the area of its base times the height. It is calculated as follows:

V = πr²h
V = π(8/2)²(20)
V = 1005.31 cm³

Therefore, the correct answer is option 1. Hope this answers the question. Have a nice day.
8 0
3 years ago
Read 2 more answers
What is the value of x? edgenuity
Margaret [11]

Answer:

45

Step-by-step explanation:

x + 3x = 180

Combine like terms : 4x = 180

180/4 = 45

4 0
3 years ago
Read 2 more answers
Other questions:
  • Giselle works as a carpenter and as a blacksmith. She earns \$20$20 per hour as a carpenter and \$25$25 per hour as a blacksmith
    14·1 answer
  • Which equation represents exponential decay? A. y=100 (31)
    14·1 answer
  • A bag contains five ​batteries, all of which are the same size and are equally likely to be selected. Each battery is a differen
    9·1 answer
  • Find the value of b if the graph of the equation y=-3x+b goes rhrough the given point. A(-2,4)
    13·1 answer
  • At a raffle, 1500 tickets are sold at $2 each for four prizes of $500, $250, $150 and $65. You buy two tickets. What is the expe
    15·1 answer
  • Which of the following could possibly be the side lengths of the triangle formed?
    15·1 answer
  • Rewrite 2/5 : 1/20<br> as a unit rate.<br> A. 8:1<br> B. 40:5<br> C. 5:40<br> D. 40:1
    10·1 answer
  • Sam earns $54 275 in a year.
    11·1 answer
  • Find the endpoint if A (5,-2) and the midpoint is B (3,6), what is C
    10·1 answer
  • What is the difference? complete the equation -30 - (-10) =
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!