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denpristay [2]
3 years ago
13

A market researcher for Eric’s Electronics wants to study TV viewing habits of residents in Chicago. The individuals in the surv

ey are asked to keep track of their weekly TV viewing time. A random sample of 50 respondents is selected, and the average viewing time per week for the 50 individuals in the sample is 17.5 hours. The population standard deviation is known to be 5.0 hours. Assume that TV viewing is a normally distributed random variable. (7 points) Construct a 90% confidence interval estimate for the mean amount of television watched per week by individuals in Chicago. Interpret your result.
Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

1) x = 17.5

σ = 5

n = 50

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, confidence level of 90% is 1.645

Margin of error = 1.645 × 5/√50 = 1.16

Confidence interval = 17.5 ± 1.16

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snow_tiger [21]

The description of the summation expression given as p + (-q) is the sum, p + (-q), is the number located a distance, |p|, from , q, in the negative direction.

<h3>How to describe the sum in terms of p and q?</h3>

The summation expression is given as:

p + (-q)

In the above summation expression, we assume that:

p ⇒ Positive number

- q ⇒ Negative number

Having said that:

The expression -q would go in the negative direction if plotted on a number line

This means that the description of the summation expression given as p + (-q) is the sum, p + (-q), is the number located a distance, |p|, from , q, in the negative direction.

Hence, the description of the summation expression given as p + (-q) is the sum, p + (-q), is the number located a distance, |p|, from , q, in the negative direction.

Read more about expressions at:

brainly.com/question/723406

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6 0
2 years ago
Si "m" es el lado mayor de un triángulo, dos cuyos ángulos interiores miden 30° y 60°, entonces el perímetro del triángulo es
lions [1.4K]

Answer:

perimetro = \dfrac{(3 + \sqrt{3})m}{2}

Step-by-step explanation:

triángulo 30°-60°-90°

1~:~\sqrt{3}~:~2

1m~:~m\sqrt{3}~:~2m

\dfrac{m}{2}~:~\dfrac{m\sqrt{3}}{2}~:~m

perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + m

perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + \dfrac{2m}{2}

perimetro = \dfrac{m + m\sqrt{3} + 2m}{2}

perimetro = \dfrac{3m + m\sqrt{3}}{2}

perimetro = \dfrac{(3 + \sqrt{3})m}{2}

7 0
3 years ago
Plss help mehhhhhhhhhhh pls
polet [3.4K]

Answer:

Infinitely many solutions.

Step-by-step explanation:

Any value of X makes the statement true, meaning the solution is all real numbers.

8 0
3 years ago
Jason left a bin outside in his garden to collect rainwater. He notices that 1 over 5 gallon of water fills 2 over 3 of the bin.
sergiy2304 [10]

Answer: 3/10

Step-by-step explanation: (1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way......each 1/10 of a gallon fills 1/3 of the bin......so 3(1/10) gallons fills 3(1/3)bins....or

3/10 gallons fills a whole bin...

8 0
2 years ago
Read 2 more answers
A fruit seller packed some apples into 15 small cartons and 20 big cartons. Each big carton contained 15 more apples than each s
ehidna [41]

Answer:

720 apples

Step-by-step explanation:

Let A be the number of apples in the small pack.

QTY for Small Cartons is 15A,

QTY for Big Cartons is 20(A+15) = 20A+300

From small cartons makes 25% or 1/4 of total, means the big carton makes 75% of total, or 3/4 of total. This also means the qty in big carton is 3 times of small carton

20A+300 = 3X (15A)= 45A

300 = 25A

A=12

Altogether = 15A+(20A+300) = 720 Apples

7 0
2 years ago
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