Ask Question
MathematicsMathematics
29 September, 20:24

Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation are unknown. The first sample has 25 data values. The second sample has 64 data values. Then we construct a 95% confidence interval for each sample to estimate the population mean. Which confidence interval will have greater precision (smaller width) for estimating the population mean?

A. The confidence interval based on the sample of 64 data values will be more precise.

B. Both confidence intervals will have the same precision.

C. The confidence interval based on thesample of a5 data valus will b moreprecisa

+5
Answers (1)
  1. 29 September, 22:29
    0
    A. The confidence interval based on the sample of 64 data values will be more precise.

    Step-by-step explanation:

    Given that we take two different random samples from the same population of test scores.

    The population mean and standard deviation are unknown.

    The first sample has 25 data values. The second sample has 64 data values.

    When sample sizes grow the confidence interval will be narrower this is due to the reason that margin of error depends on standard error which in turn is inversely proportional to square root of sample size.

    So we find that A. The confidence interval based on the sample of 64 data values will be more precise.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation are ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers
You Might be Interested in
Jeremy is thinking of a two digit number that is divisible by 2. What could Jeremy 's number be? A. 210. B. 63. C. 49. D. 78
Answers (1)
How do you calculate the angle of depression
Answers (2)
How many 2/3 penuts can be made with 8 ounces of penuts?
Answers (1)
Which correlation coefficient represents a moderate negative correlation? a. r = - 0.04 b. r = - 0.24 c. r = - 0.64d. r = - 0.94
Answers (1)
Is it true 90 is 10 times a much as 0.9
Answers (2)
New Questions in Mathematics
Jim used his debit card to withdraw $35 from the ATM. Then, he wrote a check for $8.00. Which equation represents the total amount of money deducted from Jim's account for these two transactions?
Answers (1)
Draw a area model to solve the following. Find the value of the following expression. 30 * 60
Answers (1)
A landscaper is planting a tree that is now 61cm tall. The tree will grow 2cm per month for x months. The tree will grow to be at most y cm tall. Write an inequality showing this relationship.
Answers (1)
Which of the following equations has both 2 and - 4 as solutions
Answers (1)
Describe the key features of a financial record keeping system
Answers (1)
Home » Mathematics » Suppose we take two different random samples from the same population of test scores. The population mean and standard deviation are unknown. The first sample has 25 data values. The second sample has 64 data values.
Sign Up Forgot Password?