C) more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Step-by-step explanation:

Hello!

Interest hypothesizes is " the average monthly rate for one-bedroom assisted-living facility is equal to $3300" symbolically: μ = 3300

The study variable is:

X: Monthly rate for a one-bedroom assisted-living facility.

Since there is no information about the distribution of the variable, to be able to study the population mean, I'll assume that the variable has a normal distribution.

The hypothesis is:

H₀: μ = 3300

H₁: μ ≠ 3300

α: 0.05

The statistic to use, considering that there is no known population information and the sample size, is a Student t:

t= X[bar] - μ ~ $t_{n-1}$

S/√n

n= 12

X[bar]= $3690

S= $530

Using the sample data, calculate the statistic value:

t= 3690 - 3300 = 2.549

530/√12

The rejection region for this test is two-tailed, with critical values:

$t_{n-1; \alpha /2} = t_{11; 0.025} = -2.201$

$t_{n-1;1-\alpha /2} = t_{11; 0.975} = 2.201$

The decision rule is:

Reject the null hypothesis if t ≤ -2.201 or if t ≥ 2.201

Not reject the null hypothesis if -2.201 < t < 2.201

Since the calculated value (2.549) is greater than the right critical value (2.201) the decision is to reject the null hypothesis.

With a signification level of 5%, there is enough evidence to reject the null hypothesis. This means that the population mean of the monthly rate for a one-bedroom assisted living facility is different from $3300.

I hope it helps!

7 0

3 years ago

Help w #5 !! will mark brainlist

iris [78.8K]

The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.

To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.

7 0

3 years ago

Solve for x: 4(x + 2) = 3(x - 2) -2 -4 -10 -14

m_a_m_a [10]

Answer:

D. -14

Step-by-step explanation:

3 0

3 years ago

362 equals w times 271 Write the sentence as an equation

Ede4ka [16]

Answer:

362=271w

Step-by-step explanation:

If theres a letter(variable) beside a number it means mutiplication.

Hope this helps!

4 0

3 years ago