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
126 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)
Question: In triangle ABC, angle bisector BD divides angle ABC into two congruent angles. If angle ABD measures 70°, what is the measure of angle ABC?
+
What is the measure of the third angle in a triangle if the first angle is 60°, the second angle is 80°?
+
What is the formula to find the area of a regular hexagon with side length s?
+
New questions in Mathematics
𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)
The derivative of a power is obtained just by subtracting 1 from the power True or false
58+861-87
x/20*100
Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)
calculate the normal vector of line y = -0.75x + 3
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
If 0101, what is the binary representation of the 4x16 decoder output?
sin 30
1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?
A teacher has 25 red and yellow counters altogether. She has 4 times as many red counters than yellow counters. How many yellow counters does the teacher have?
392929-9
Derivative of 2x
A loan is repaid with payments of $2226 made at the end of each month for 12 years. If interest on the loan is 5.2%, compounded semi-annually, what is the initial value of the loan? Enter to the nearest cent (two decimals). Do not use $ signs or commas.
8/9 divided by 10/6
An election ballot asks voters to select three city judges from a group of 12 candidates. How many ways can this be done?
The slope of the tangent line to the curve f(x)=4tan x at the point (π/4,4)
Find the symmetric point to a point P = (2,-7,10) with respect to a plane containing a point Po = (3, 2, 2) and perpendicular to a vector u = [1, -3, 2].
A rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet
x(squared) -8x=0