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Olenka [21]
3 years ago
8

The cable company takes an SRS (simple random sample) of 250 of the approximately 15,000 households who subscribe to them. They

found that 75% of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 60% of their total subscribed households who watch those sports. Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month. What are the mean and standard deviation of the sampling distribution of p?
Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

The mean of the sampling distribution of p is 0.75

The standard deviation of the sampling distribution of p is 0.0274

Step-by-step explanation:

According to the given data 75% of the sampled households watch sports on television at least once a month therefore the mean of the sampling distribution of p is 0.75.

In order to calculate the standard deviation of the sampling distribution of p we would have to use the following formula as follows:

Standard deviation = √ [ p ( 1 - p) / n ]

= √[ 0.75 * ( 1 - 0.75) / 250]

= 0.0274

The standard deviation of the sampling distribution of p is 0.0274.

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Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv
mojhsa [17]

Answer:

The inequality to show how many hours of television Julia can still watch this week can be given as:

⇒ x+1.5\leq 5

where x represents he number of hours of television that Julia can still watch this week

On solving for x, we get

x\leq3.5

Thus, Julia can still watch no more than 3.5 hours of television this week.

Step-by-step explanation:

Given:

Julia is allowed to watch television no more than 5 hours a week.

She has already watched 1.5 hours

To write and solve an inequality to show how many hours of television Julia can still watch this week.

Solution:

Let the number of hours of television that Julia can still watch this week be = x

Number of hours already watched = 1.5

Total number of hours of watching television this week would be given as:

⇒ x+1.5

It is given that Julia is allowed to watch no more than 5 hours of television in a week.

Thus, the inequality can be given as:

⇒ x+1.5\leq 5

Solving for x

Subtracting both sides by 1.5

x+1.5-1.5\leq 5-1.5

x\leq3.5

Thus, Julia can still watch no more than 3.5 hours of television this week.

6 0
3 years ago
What is the simplified form of √ 144x36?
yKpoI14uk [10]

Answer:

12x^18

Step-by-step explanation:

5 0
2 years ago
Identify the examples as primary sources or secondary sources.
algol13

Answer:

Primary : letters, artifacts, contracts

Secondary : documentaries, encyclopedias, biographies

Step-by-step explanation:

(I'm not too sure about contracts, so you might want to check yourself for that one)

5 0
3 years ago
A student ID number is a letter of the alphabet followed by 2 digits. How many different IDs are possible if the digits can be r
mars1129 [50]
First, there are 26 distinct alphabets and 10 distinct digit numbers.

Then, the first digit of ID has 26 possibilities.

For the rest of 2 digits, the total cases are 10*10 = 100 possibilities.

However, there are 10 cases are repeated when two digits are the same. so you have  to subtract it by 10

So answer will be 26 * (100-10) = 23400

4 0
3 years ago
The store had 520 customers this week and 780 customers last week. What is the percent of change for the 2 weeks and was it an i
mr_godi [17]
It’s a 33.3333% decrease in customers
8 0
3 years ago
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