Question

Suppose we want to calculate a 94% confidence interval for a sample mean with a sample size n=54. We ignore the variance of the variable in the population. What is the numerical value corresponding to the order quantile used in calculating the confidence interval? Show your approach

251

likes
1253 views

Answer to a math question Suppose we want to calculate a 94% confidence interval for a sample mean with a sample size n=54. We ignore the variance of the variable in the population. What is the numerical value corresponding to the order quantile used in calculating the confidence interval? Show your approach

Expert avatar
Tiffany
4.5
103 Answers
1. Determine the confidence level: 94%.

2. Calculate the significance level: \alpha = 1 - 0.94 = 0.06 .

3. Divide the significance level by 2 to find the tail probability: \alpha/2 = 0.03 .

4. The degrees of freedom for our sample is n - 1 = 54 - 1 = 53 .

5. Look up the value in the t-distribution table corresponding to 53 degrees of freedom and a two-tailed probability of 0.06. Alternatively, you can use statistical software or a calculator.

The t-score that corresponds to a cumulative probability near (1 - 0.03) for 53 degrees of freedom is approximately 1.922 .

Thus, the numerical value is 1.922 .

Frequently asked questions (FAQs)
What is the resultant displacement when a vector of magnitude 10, at an angle of 30° from the x-axis, is added to a vector of magnitude 8, at an angle of 60° from the x-axis?
+
What is the derivative of f(x) = sin(3x) + cos(4x) - tan(2x)?
+
What is the standard deviation of a dataset with numbers 1, 2, 3, 4, and 5?
+
New questions in Mathematics
a) A tap can supply eight gallons of gasoline daily to each of its 250 customers for 60 days. By how many gallons should each customer's daily supply be reduced so that it can supply 50 more customers for twenty more days?
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?
All the liquid contained in a barrel is distributed into 96 equal glasses up to its maximum capacity. We want to pour the same amount of liquid from another barrel identical to the previous one into glasses identical to those used, but only up to 3/4 of its capacity. How many more glasses will be needed for this?
Suppose SAT reading scores are normally distributed with a mean of 496 and a standard deviation of 109. The University plans towards scholarships for students who scores are in the top 7%. What is the minimum score required for the scholarship round your answer to the nearest whole number.
4x-3y=24 and 5x-2y=9 solve by elimination
Sean must chose a 6- digit PIN number for his online banking account.Each digit can be chosen from 0 to 9. How many different possible PIN numbers can sean chose.
The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is
2x+4x=
If a two-branch parallel current divider network, if the resistance of one branch is doubled while keeping all other factors constant, what happens to the current flow through that branch and the other branch? Select one: a. The current through the doubled resistance branch remains unchanged, and the current through the other branch decreases. b. The current through the doubled resistance branch decreases, and the current through the other branch remains unchanged. c. The current through the doubled resistance branch increases, and the current through the other branch remains unchanged. d. The current through both branches remain unchanged.
Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
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?
A popular cell phone family plan provides 1500 minutes. It charges 89.99/month for the first 2 lines and 9.99 for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.
A,B,C and D are the corners of a rectangular building. Find the lengths the diagonals if AB measures 38' - 9" and AD measures 56' - 3"
9/14 x 7/27 carry out indicated operation
Log0
Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at 𝑥 = 1.
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
A candy manufacturer must monitor deviations in the amount of sugar in their products They want their products to meet standards. They selected a random sample of 20 candies and found that the sandard deviation of that sample is 1.7. What is the probabilty of finding a sample variance as high or higher if the population variance is actually 3277 Assume the population distribution is normal.
Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?