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Tcecarenko [31]
3 years ago
14

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th

e average price of the rooms in the sample was $108.50 with a standard deviation of $16.
a) Formulate the null and alternative hypotheses to determine whether or not the average room price is significantly different from $112.
b) Compute the test statistic.
c) Using the p-value approach, what is your conclusion? Let alpha = .05.
d) Using the critival value approach, what is your conclusion? Let alpha = .05.
e) Write a concluding statement based on your answers above.
Mathematics
1 answer:
kow [346]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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Let f(x)=3x-7 and g(x)=2x². Perform the function operation and then find the domain of the result.
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Answer: A

Step-by-step explanation:

f(x)=3x-7\\g(x)=2x^2

(f-g)(x)=3x-7-(2x^2)\\(f-g)(x)=3x-7-2x^2\\(f-g)(x)=-2x^2+3x-7

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Priya bought x grams of flour. Clare bought 3/8 more than that. Select one equation that represent the relationship between the
statuscvo [17]

Answer:

The relationship ship equation:

  • y = x + 3/8x

Step-by-step explanation:

Let 'x' be the grams of flour Priya bought

Let Clare bought 'y' grams of flour

As Clare bought 3/8 more than that.

so

y = x + 3/8x

Thus, the relationship ship equation:

  • y = x + 3/8x
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2 years ago
Simplify.<br> 6/7<br> •<br> 4/15
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Answer:

6/7 • 4/15 = 8/35

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3 years ago
Read 2 more answers
Which accurately describes a circle with a radius 12 centimeters and center Q?
JulijaS [17]

Answer:

the answer is d!

Step-by-step explanation:

because the radius is measuring the distance from any point on the circle to the very center of the circle

5 0
3 years ago
Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets
inna [77]

Answer:

Step-by-step explanation:

So, we are given two sites;

Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.

=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.

=> The standard deviation = 3.005

SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.

=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.

=> Standard deviation = 3.271.

NB: the assumption here is that the variance for both sites are the same.

STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.

The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.

Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.

STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.

Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.

Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..

Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.

STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.

confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).

STEP FOUR: THE HYPOTHESES.

=> THE TWO TAILED TEST.

Jo:μ1​ = μ2​.

Ja: μ1​ ≠ μ2​.

Thus, the rejected region is {t : ∣ t ∣ > 2.7}

As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.

If we do the t - test for this,.we will have;

(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.

So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.

Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.

We are not going to reject the null hypothesis because the information gathered is not enough.

3 0
2 years ago
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