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trasher [3.6K]
2 years ago
5

A small math department has 6 faculty members and 30 students. It can send 6 people to a national convention and they would like

to send 4 students and 2 faculty members. Of the 30 students, 4 are selected randomly, and then 2 faculty members are randomly selected from the six. This is an example of
(A) simple random sampling.
(B) stratified random sampling.
(C) voluntary response sampling.
(D) a census.
Mathematics
1 answer:
kramer2 years ago
8 0

Answer: (B) stratified random sampling.

Step-by-step explanation:

  • A stratified random sampling technique is a sampling technique in which  the researcher includes the participants from each group.
  • He divides the entire population into groups and then he randomly selects participant from that groups of known as strata .

Here, Math department can send 6 people to a national convention and they would like to send 4 students out of 30 and 2 faculty members out of 6.

The department is considering both groups or strata of Students and faculty members as well.

And they selected 4 students randomly out of 30, and then 2 faculty members are randomly selected from the six.

Therefore , This is an example of stratified random sampling.

Hence, the correct option is  (B) stratified random sampling.

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The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. Sh
yulyashka [42]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 25235

For the alternative hypothesis,

µ > 25235

This is a right tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100,

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

x = sample mean = 27524

µ = population mean = 25235

s = samples standard deviation = 6000

t = (27524 - 25235)/(6000/√100) = 3.815

We would determine the p value using the t test calculator. It becomes

p = 0.000119

Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

6 0
2 years ago
Is the square root of 7 greater or less then 14/5
Leto [7]

Answer:

less then

Step-by-step explanation:

the square root of 7 is 2.64 and 14/5 is = 2.8

5 0
3 years ago
2.) Determine the sale price to the nearest cent<br> $39.00 jeans<br> 40% off
Sonbull [250]
Ok ok so I saw that someone else had given you an answer but I thought it might be best if you got an explanation to go with it.

Basically to know what your final price is you need to know what percentages represent.
Since they are simply parts of a whole (because you know 100% of something is a whole) we can look them as fractions like 40/100 in this case.

Then we can multiply 39.00 by 40/100 or 0.40 in decimal form and get 15.60.

It’’s important to remember that this 15.60 is just what 40%of 39 is so we still need to subtract it from our total to get the sales price.

39-15.60=23.40

So $23.40 is the sales price

Hope this helps!
7 0
1 year ago
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What is -9.75 as a fraction
likoan [24]
The answer to your problem is -9 and 3/4.
4 0
2 years ago
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Please help me
il63 [147K]

Answer:

14

Step-by-step explanation:

An integers are whole numbers and  their opposites.  ...-3,-2,-2,0,1,2,3...

I just played with the numbers and found that 14 + 14^2 (14 squared is 14 x 14).

14 + (14)(14) = 210

6 0
2 years ago
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