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MAXImum [283]
3 years ago
8

Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar

d deviation of 0.75 hours. You survey a SRS of 100 adult Americans and determine that the mean sleep time is 5 hours. Which Hypothesis Test should be used here
Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer: One sample z test for means

Step-by-step explanation:

From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

The probability value would be determined from the normal distribution table.

Therefore, the hypothesis test that should be used is

One sample z test for means

You might be interested in
Scale on a map of Ireland is 1.2 000000 how many square centimetres are represented on the map by the province of Munster.
zavuch27 [327]

Question is incomplete, we will however explain how the scale works using examples

Answer and explanation:

Given the map scale 1:2000000, the fraction from this 1/2000000 is the representative fraction. The representative fraction is the ratio of distance on the map to the real distance on ground.

With the representative fraction 1/2000000, we can find how many meters on the ground is represented by a unit of measurement in centimeters on the map thus:

Given 1m= 100cm

Representative fraction broken down = 1/2×10000×100

Therefore 1cm on the map = 20000m on ground

3 0
3 years ago
I have three times as much money as does my brother. Our combined total is $42. How much does each of us have?
nika2105 [10]
For an instance, i stands for the money that you have, and b stands for the money that brother has.
An equation system based on the problem would be
i + b = 42 (equation 1)
i = 3b (equation 2)

Use substitution method to solve the problem
substitute 3b into i in the equation 1
i + b = 42
3b + b = 42
4b = 42
b = 42/4
b = 10.5

substitute the value of b into the equation 1
i = 3b
i = 3(10.5)
i = 31.5

You have $31.5 and your brother has $10.5
4 0
3 years ago
A bank offers all savings accounts 5% interest compounded annually. If one account has a principal of $100 and another
arsen [322]

Answer:

From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days .

Step-by-step explanation:

Given as :

The principal for the first account = p = $100

The rate of interest = r = 5% compounded annually

The account gets double , so, Amount = A = $200

Let the time after which account gets double = t years

So<u>, From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\trxtrm rate}{100})^{\textrm time}

As amount is double its principal

So, A = 2 × $100 = $200

Or, A = p × (1+\dfrac{\trxtrm r}{100})^{\textrm t}

Or, $200 = $100 × (1+\dfrac{\trxtrm 5}{100})^{\textrm t}

Or, \dfrac{200}{100} = (1.05)^{\textrm t}

Or, 2 = (1.05)^{\textrm t}

Taking Log both side

Log_{10}2 = Log_{10}(1.05)^{t}

Or, 0.3010 = t Log_{10}1.05

Or, 0.3010 = t × 0.0211

∴ t = \dfrac{0.3010}{0.0211}

I.e t = 14.26

So, The time period to get account double is 14 years 26 days

<u>Again </u>

Amount = Principal × (1+\dfrac{\trxtrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\trxtrm r}{100})^{\textrm t}

As amount is double its principal

So, A = 2 × $1000 = $2000

Or, $2000 = $1000 × (1+\dfrac{\trxtrm 5}{100})^{\textrm t}

Or, \dfrac{2000}{1000} = (1.05)^{\textrm t}

Or, 2 = (1.05)^{\textrm t}

Taking Log both side

Log_{10}2 = Log_{10}(1.05)^{t}

Or, 0.3010 = t Log_{10}1.05

Or, 0.3010 = t × 0.0211

∴ t = \dfrac{0.3010}{0.0211}

I.e t = 14.26

So, The time period to get account double is 14 years 26 days

Hence From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days . Answer

7 0
3 years ago
Find the area of a rhombus.<br> 4<br> 30°
Vedmedyk [2.9K]

Answer:

13.86

Step-by-step explanation:

you should see 2 triangles with angle 60 bounded by two equal sides of 4

=2(\frac{1}{2} (4)(4)sin 60)\\=13.86

6 0
2 years ago
A diagram shows circles to represent the populations of various countries in the world. The circle for India has a radius of 3.2
Naily [24]
I think the population of china is around 17%
5 0
4 years ago
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