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Ksju [112]
3 years ago
12

You wish to compare the prices of apartments in two neighboring towns. You take a simple random sample of 12 apartments in town

A and calculate the average price of these apartments. You repeat this for 15 apartments in town B. Let \mu_1μ 1 represent the true average price of apartments in town A and \mu_2μ 2 the average price in town B.Suppose we were to use the two-sample t test and found that the t statistic for comparing the mean prices is 2.1. What can we say about the value of the p-value?
Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

The value of P-value is 0.0472.

Step-by-step explanation:

We are given that you take a simple random sample of 12 apartments in town A and calculate the average price of these apartments. You repeat this for 15 apartments in town B.

Let \mu_1 = <u><em>true average price of apartments in town A</em></u>

\mu_2 = <u><em>true average price of apartments in town B</em></u>

So, Null Hypothesis, H_0 : \mu_1=\mu_2

Alternate Hypothesis, H_A : \mu_1\neq \mu_2  

The test statistics that have been used here is <u>two-sample t-test statistics</u>, i.e;

The test statistics given to us is 2.1

Now, the P-value of the test statistics is given by the following formula;

                P-value = P( t__n__1+_n_2-_2 > 2.1)

                             = P( t_2_5 > 2.1) = 0.0236

In two-tailed test, P-value is calculated as = 2 \times 0.0236 = <u>0.0472</u>

Hence, the value of the p-value is 0.0472.

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2 years ago
You bike 1 mile the first day of your​ training, 1.3 miles the second​ day, 1.9 miles the third​ day, and 3.1 miles the fourth d
JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

d_1=1 mi is the distance travelled during the 1st day

d_2=1.3 mi is the distance travelled during the 2nd day

d_3=1.9 mi is the distance travelled during the 3rd day

d_4=3.1 mi is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2

Which can be rewritten using the general formula:

d_{n+1}-d_n=2(d_n-d_{n-1})

This means that

d_{n+1}=d_n+2(d_n-d_{n-1})

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi

So, the  distance travelled on the 7th day is 19.9 miles.

7 0
3 years ago
Do the product 40x500 and 40x600 have the same number of zeros
VARVARA [1.3K]

No they do not have the same number of zeroes

Although the 2 products do seem like they might have the same number of zeroes, 40 x 500 and 40 x 600

both have 3 zeroes before multiplying

if we take the first 2 digits of the 2 numbers being multiplied to get an idea of the answer

 if we take 40 x 500 - 4 x 5 = 20

then theres an extra zero added

but if we take 40 x 600 - 4 x 6 = 24

no extra zeroes added to this


so if we finally look at the answers

40 x 500 = 20 000

40 x 600 = 24 000

20000 has 4 zeroes and 24000 has 3 zeroes


so the answer is no they dont have the same number of zeroes

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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I think this is what you want to do

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