MathMaster logo

MathMaster

  1. Home
  2. general
  3. here you will receive one confidence interval question you will need to calculate a confidence interval and use it to dete
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.Β  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.Β  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
120 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 value of sinh(arccosh((sinh^2(pi/4) + cosh^2(pi/3))/tanh(2.5))), where sinh is the hyperbolic sine function, and arccosh is the inverse hyperbolic cosine function.
+
What is the vertex formula for a parabola with equation 𝑦 = 3π‘₯Β² - 4π‘₯ - 2?
+
What is the median of a dataset with an odd number of elements? (
+
New questions in Mathematics
-6n+5=-13
5/8 x 64
Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5
Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?
what is 9% of 307
Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:
If L (-2, -5) reflected across y = -4. What are the coordinates of L?
Determine the absolute extrema of the function 𝑓(π‘₯)=π‘₯3βˆ’18π‘₯2 96π‘₯ , on the interval [1,10]
The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(Β΅, Οƒ). Determine a 95% two-sided confidence interval for the mean Β΅ .
Analyze the following situation Juan is starting a new business, he indicates that the price of his product corresponds to p=6000βˆ’4x , where x represent the number of tons produced and sold and p It is given in dollars. According to the previous information, what is the maximum income that Juan can obtain with his new product?
4x/2+5x-3/6=7/8-1/4-x
In a order to compare the means of two populations, independent random samples of 410 observations are selected from each population, with Sample 1 the results found in the table to the right. Complete parts a through e below. X1 = 5,319 S1= 143 a. Use a 95% confidence interval to estimate the difference between the population means (H - H2) Interpret the contidence interval. The contidence interval IS (Round to one decimal place as needed.) Sample 2 X2 = 5,285 S2 = 198 Aa. Use a 95% confidence interval to estimate the difference between the population means (A1 - M2) Interpret the contidence interval. The contidence interval Is (Round to one decimal place as needed.) b. Test the null hypothesis Ho versus alternative hypothesis Ha (H What is the test statistic? H2) + Give the significance level of the test, and interpret the result. Use a = 0.05. Z=
3.24 Γ· 82
The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .
The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
A house located within the city limits has a current market value of $325,000 according to a recent appraisal. The assessed value from the last county wide tax valuation is $272,475. The tax rate is $0.36 per hundred for the county and $0.72 per hundred for the city. What is the total annual property tax liability on the property? $2340 $3510 $1962 $2943
Let I be an interval and let f : I β†’ R be a continuous function such that f(I) βŠ‚ Q. Show (in symbols) that f is constant.
The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?
5 1/9 + 2 2/3

You might be interested in