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2 years ago

Translate each of the following research questions into appropriate H0 and Ha.

Mathematics

1 answer:

Mandarinka [93]2 years ago

7 0

Answer:

$H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}$

$H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}$

Step-by-step explanation:

We have to build appropriate null and alternate hypothesis for the given scenarios.

a) Population mean, μ = $62,500 per year

The market research wants to find whether the mean household income of mall shoppers is higher than that of the general population.

$H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}$

We would use one-tail(right) test to perform this hypothesis.

b) Population mean, μ = 2.6 hours

The company want to know the average time to respond to trouble calls is different or not.

$H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}$

We would use two-tail test to perform this hypothesis.

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soldier1979 [14.2K]

Answer:

Step-by-step explanation:

All the factors of 8 and 16 are 1;2;4;8

3 0

2 years ago

I can’t figure out the solution I think it is y < -10

Olenka [21]

Hey there!

<em>With negatives ( $-$ ) you have to switch your symbol to the other way</em>
$\bold{\frac{y}{-2}\leq5}$
Firstly, substitute the $\bold{y\ value }$ as an invisible 1
So, now we have to flip the equation around
$\bold{\frac{-1}{2}y\leq5}$
We have to $\bold{multiply}$ by $\bold{-2}$ on each of your sides
$\bold{-2\times\frac{-1}{2}\leq-2\times5}$
$\bold{Cancel \ out:2\times\frac{-1}{2}y \ because \ it \ equal \ 1}$
$\bold{Keep: -2\times5 \ because \ it \ helps \ us \ find \ our \ answer}$
$\bold{-2\times5=-10}$
$\boxed{\boxed{\bold{Answer:y\geq-10}}}\checkmark$

Good luck on your assignment and enjoy your day!

~ $\frak{LoveYourselfFirst:)}$

<em />

4 0

2 years ago

Since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year. Predict th

BaLLatris [955]

Answer:

20,158 cases

Step-by-step explanation:

Let $t=0$ represent year 2010.

We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.

Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.

We can represent this information in an exponential decay function as:

$F(t)=102,390(1-0.15)^t$

$F(t)=102,390(0.85)^t$

To find number of cases in 2020, we will substitute $t=10$ in our decay function as:

$F(10)=102,390(0.85)^{10}$

$F(10)=102,390(0.1968744043407227)$

$F(10)=20,157.970260446597\approx 20,158$

Therefore, 20,158 cases will be reported in 2020.

3 0

2 years ago

The cost of a newsletter subscription is $20 per year. The cost is expected to increase 10% each year. Which expression can be u

a_sh-v [17]

Selection A is appropriate.

_____
20*1.1^n is the general expression for the cost n years in the future.
20*1.1^3 = 26.62 is the cost 3 years in the future.

4 0

2 years ago

You are knitting a blanket. You want the area of the blanket to be 24 feet squared . You want the length of the blanket to be 2

Sauron [17]

Think of it this way: x multiplied by a number that is two more than x is y.
So, look at the factors. 3 and 8 wouldn't work, because 8 is 5 longer than 3. 1 and 24 wouldn't work, because 24 is 23 more than 1. 12 and 2 is also not going to work; 12 is 10 more than 2. What you have left is 4 and 6. 6 is 2 more than 4, and they both multiply to get 24.

So, the correct answer is 6 feet long and 4 feet wide.

4 0

2 years ago

Read 2 more answers