Question

Here you will receive one confidence interval question. You will need to calculate a confidence interval AND use it to determine whether we will reject or fail to reject a null hypothesis. You can take it as many times as you'd like.  A researcher wanted to know whether novels that are being written during the pandemic are of a different length than normal. She took ten novels written during the pandemic and found that they had a mean length of 345 pages (SD = 11). If the average length for a novel normally is 320 pages, conduct a 95% confidence interval for these data and use it to determine whether she should reject or fail to reject her null hypothesis. Don't forget to write your hypotheses for this problem as well.

184

likes
920 views

Answer to a math question Here you will receive one confidence interval question. You will need to calculate a confidence interval AND use it to determine whether we will reject or fail to reject a null hypothesis. You can take it as many times as you'd like.  A researcher wanted to know whether novels that are being written during the pandemic are of a different length than normal. She took ten novels written during the pandemic and found that they had a mean length of 345 pages (SD = 11). If the average length for a novel normally is 320 pages, conduct a 95% confidence interval for these data and use it to determine whether she should reject or fail to reject her null hypothesis. Don't forget to write your hypotheses for this problem as well.

Expert avatar
Hermann
4.6
128 Answers
\bar{x} = 345
SD = 11
n = 10
df = n - 1 = 9
t^* = 2.262
SE = \frac{SD}{\sqrt{n}} = \frac{11}{\sqrt{10}} \approx 3.48
CI = \bar{x} \pm t^* \cdot SE
CI = 345 \pm 2.262 \cdot 3.48
CI = 345 \pm 7.87
CI = [337.13, 352.87]

Since the interval does not include 320, we reject the null hypothesis.
\text{Answer: [337.13, 352.87]}

Frequently asked questions (FAQs)
Find the derivative of f(x) = (g(h(x)))² with respect to x.
+
[Question]: What type of triangle has exactly two sides of equal length and two angles that are also equal?
+
What is the vertex form of the quadratic function with the vertex (-2, 5)?
+
New questions in Mathematics
5(4x+3)=75
A car tire can rotate at a frequency of 3000 revolutions per minute. Given that a typical tire radius is 0.5 m, what is the centripetal acceleration of the tire?
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
Consider the relation R defined on the set of positive integers as (x,y) ∈ R if x divides y. Choose all the true statements. R is reflexive. R is symmetric. R is antisymmetric. R is transitive. R is a partial order. R is a total order. R is an equivalence relation.
3(4×-1)-2(×+3)=7(×-1)+2
A company is wondering whether to invest £18,000 in a project which would make extra profits of £10,009 in the first year, £8,000 in the second year and £6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.
A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
B - (-4)=10
A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?
Estimate the fifth term if the first term is 8 and the common ratio is -1/2
15/5+7-5
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
Find the minimum value of the function y = -4 x3 + 60 x2 -252 x + 8 for values of x between x = 0 and x = 9 Enter the value of the function, not the value of x
List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)
viii. An ac circuit with a 80 μF capacitor in series with a coil of resistance 16Ω and inductance 160mH is connected to a 100V, 100 Hz supply is shown below. Calculate 7. the inductive reactance 8. the capacitive reactance 9. the circuit impedance and V-I phase angle θ 10. the circuit current I 11. the phasor voltages VR, VL, VC and VS 12. the resonance circuit frequency Also construct a fully labeled and appropriately ‘scaled’ voltage phasor diagram.
94 divided by 8.75
Cuboid containers (open at the top) should be examined with regard to their volume. The figure below shows a network of such containers (x ∈ Df). Determine a function ƒ (assignment rule and definition area D) that describes the volume of these containers and calculate the volume of such a container if the content of the base area is 16 dm². Show that this function f has neither a local maximum nor a global maximum
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
The domain of the function f(x)=x+7x2−144 is (−∞,), ( ,), and ( , ∞).