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wolverine [178]
3 years ago
15

Two towns are 324 miles apart. on a map, they are 4 1/2 apart. the scale of the map is 1

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0

Answer:

Step-by-step explanation:

324mi/4.5in=72mi/in

So each inch is equal to 72 miles.

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A random sample of 100 people from City A has an average IQ of 120 with a SD of 18. Independently of this, a random sample of 15
Sloan [31]

Answer:

z=\frac{(120-116)-0}{\sqrt{\frac{18^2}{100}+\frac{15^2}{150}}}}=1.837

p_v =P(z>1.837)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the average IQ on city A is signficantly higher than city B at 5% of singificance.  

Step-by-step explanation:

\bar X_{A}=120 represent the mean for sample 1

\bar X_{B}=116 represent the mean for sample 2

s_{A}=18 represent the sample standard deviation for 1  

s_{B}=15 represent the sample standard deviation for 2  

n_{A}=100 sample size for the group 2  

n_{B}=150 sample size for the group 2  

\alpha Significance level provided

z would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if residents of City A smarter on average, the system of hypothesis would be:  

Null hypothesis:\mu_{A}-\mu_{B}\leq 0  

Alternative hypothesis:\mu_{A} - \mu_{B}> 0  

We don't have the population standard deviation's, but the sample sizes are large enough we can apply a z test to compare means, and the statistic is given by:  

z=\frac{(\bar X_{A}-\bar X_{B})-\Delta}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{B}}{n_{B}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:  

z=\frac{(120-116)-0}{\sqrt{\frac{18^2}{100}+\frac{15^2}{150}}}}=1.837

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.837)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the average IQ on city A is signficantly higher than city B at 5% of singificance.  

5 0
3 years ago
Plz can you answer this hurry plzzzzz
natita [175]

Answer:

I cant see the picture

Step-by-step explanation:

5 0
3 years ago
Please heeeeeeeeeeeeeeeeeeeeeeeeeelp
hram777 [196]
B) x=2 and y=14 i’m pretty sure lol
5 0
3 years ago
John is 14 years older than Sam and the product of their ages is 240. How old is Sam?
Shtirlitz [24]

Answer:

A.) 10 years old

Step-by-step explanation:

Sam: John - 14

S = J - 14

S x J = 240

10 = J - 14

0 = J - 14 - 10

-J = -24

J = 24

10 x 24 = 240

3 0
2 years ago
Find the interest earned and the future value of an annuity with weekly payments of $400 for three years into an account that pa
qaws [65]

Answer:

the interest earned= 93.401

and the future value of an annuity= 493.401

Step-by-step explanation:

Given Data:

Interest rate= 7%

time,t = 3 years

weekly payment, P= 400

At the end of 3 years, final investment A= ?

n= 52 as it is weekly

As per the interest formula

A= P(1+r/n)^nt

Putting value in above equation

= 400\left(1+\frac{0.07}{52}\right)^{156}

= 493.401

Interest earned = A-P

                           = 493.401-400

                          = 93.401 !

7 0
3 years ago
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