A random sample of nn measurements was selected from a population with standard deviation σ=12.7σ=12.7 and unknown mean μμ. Calculate a 9999 % confidence interval for μμ for each of the following situations: (a) n=70, x¯¯¯=81.4n=70, x¯=81.4  ≤μ≤≤μ≤  (b) n=85, x¯¯¯=81.4n=85, x¯=81.4  ≤μ≤≤μ≤  (c) n=115, x¯¯¯=81.4n=115, x¯=81.4  ≤μ≤≤μ≤  (d) In general, we can say that for the same confidence level, increasing the sample size  the margin of error (width) of the confidence interval. (Enter: ''DECREASES'', ''DOES NOT CHANGE'' or ''INCREASES'', without the quotes.)

Question

 A random sample of nn measurements was selected from a population with standard deviation σ=12.7σ=12.7 and unknown mean μμ. Calculate a 9999 % confidence interval for μμ for each of the following situations:

(a) n=70, x¯¯¯=81.4n=70, x¯=81.4
 ≤μ≤≤μ≤ 

(b) n=85, x¯¯¯=81.4n=85, x¯=81.4
 ≤μ≤≤μ≤ 

(c) n=115, x¯¯¯=81.4n=115, x¯=81.4
 ≤μ≤≤μ≤ 

(d) In general, we can say that for the same confidence level, increasing the sample size  the margin of error (width) of the confidence interval. (Enter: ''DECREASES'', ''DOES NOT CHANGE'' or ''INCREASES'', without the quotes.)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: A single card is drawn from a standard deck. Find the probability of the following event. (Enter you...

A: Introduction: Suppose there are n total number of outcomes, and A and B are two events of interest i...

Q: An airline operates a call center to handle customer questions and complaints. The airline monitors ...

A: Click to see the answer

Q: Three cards are dealt from a shuffled standard deck of playing cards.Find the probability that the f...

A: It is given that the three cards are dealt from a shuffled standard deck of playing cards.

Q: John works at a phone bank. After getting off the phone with a particularly rude customer, he looks ...

A: Click to see the answer

Q: A restaurant manager wants to know if one of the three specials on the menu (baked fish, roast beef,...

A: State the appropriate null hypothesis. Null hypothesis: Correct option: Option 2 Alternative hypoth...

Q: Is it possible to determine causation from a quasi-experiment? How and why does the interpretation o...

A: Introduction: Causation: The cause-and-effect occurs between two groups if the one group makes the c...

Q: A test for a genetic disorder can detect the disorder with 92% accuracy. However, the test will inco...

A: A test for a genetic disorder can detect disorder with 92% accuracy, The test will incorrectly repor...

Q: A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If si...

A: Click to see the answer

Q: A mortgage is a type of loan that can be used to purchase a house. A large bank is interested in the...

A: The provided set of hypotheses is; The test yielded a t-value of −3.865 with a corresponding p-valu...

Q: Suppose that average male weight in the US is 175 pounds with a standarddeviation of 25 pounds. Supp...

A: Click to see the answer

Q: A 9.3.6-T A popular theory is that presidential candidates have an advantage if they are taller than...

A: The hypotheses are; This is an upper-tailed test. Here, μd = μ1 - μ2: Mean of the difference betwee...

Q: The authors of the paper “Ultrasound techniques applied to body fat mea-surement in male and female ...

A: Solution: State the hypotheses. Null hypothesis: That is, the mean body fat percentage measurement ...

Q: 6) A random sample of 20 ages of world leaders yielded the following data:             54        66 ...

A: Solution: 6. a. Let X be the age. Then, From the given information, the population standard deviati...

Q: QUESTION 26 Assume a doctor uses a specific form of mesh to repair all hernias in his hernia pa...

A: Click to see the answer

Q: An online site presented this​ question, "Would the recent norovirus outbreak deter you from taking ...

A: It is given that n=43744. The sample proportion is 0.66 Consider the confidence interval as 95%, the...

Q: In an article that appears on the website of the American Statistical Asso-ciation (www.amstat.org/m...

A: The probability of a random test resulting in dirty is, Thus, the probability of a random test resu...

Q: Find the Confidence interval for the true Population Mean if a sample of 50 has a mean of 26.8 and a...

A: Click to see the answer

Q: A veterinarian researcher would like to know if the gestation period of an animal can be used to pre...

A: Obtain the linear correlation coefficient between gestation period and life expectancy. Use EXCEL to...

Q: An urn has 10 balls that are identical except that 3 are white and 7 are red. A sample of 4 is selec...

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: The time required for housekeeping to clean a hotel room for the next customer varies between 25 and...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: Assume that you do an experiment with 8 groups and the population means for all 8 are equal. If you ...

A: The graph provided below shows the probability of Type I error:

Q: According to the Air Transport Association of America, the average operating cost of an MD-80 jet ai...

A: Click to see the answer

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed...

A: Click to see the answer

Q: If you roll a die twice, what is the probability that you get two sixes in a row?

A: Obtain the probability that you get two sixes in a row. The probability that you get two sixes in a ...

Q: i want to solve it in 20 minutes please

A: From the provided information,

Q: 1. A dog groomer is often asked if small dogs bark more than larger dogs. To test this, he logs the ...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: I need help to identify the test statstic, p-value as well testing a one-tailed hypothesis test with...

A: From the provided information,

Q: If you roll a die, you get one of the following numbers: 1, 2, 3, 4, 5, 6. Each possibility occurs w...

A: Click to see the answer

Q: In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on...

A: Click to see the answer

Q: One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3....

A: There are 1-36 numbers in a roulette out of which 12 are multiple of 3 and the total numbers are 38....

Q: Suppose we want to compare the GPA for students in at least three different social classes (Upper, M...

A: It is given that the researcher wants to compare the GPA students in three different social classes....

Q: Find the area under the curve that is outside of two standard deviations from the mean.

A: Click to see the answer

Q: WHat is the confidence interval? Consider the following data on x = rainfall volume (m3) and y = run...

A: Click to see the answer

Q: Random assignment ensures groups will be equal on everything except the variable manipulated. True F...

A: Random assignment of charts does not ensure that the groups will be equal in all respects other than...

Q: The duration (in days) of human pregnancies follows approximately the ?(266,16)distribution. What pr...

A: From the given information,  Consider, X the duration (in days) of human pregnancies follows approxi...

Q: The typical college freshman spends an average of ?=150 minutes per day, with a standard deviation o...

A: Solution: Let X be the time on social media. From the given information, X follows normal distributi...

Q: Using the standard Normal distribution tables, what is the area under the standard Normal curve corr...

A: From the given information, P (Z<0.75)  The area under standard normal cure can be computed as:

Q: The director of research and development is testing a new drug. She wants to know if there is eviden...

A: Click to see the answer

Q: Oil and Gas Prices The average gasoline price per gallon (in cities) and the cost of a barrel of oil...

A:  The scatter plot can be obtained using EXCEL software. Enter the values of X in column A and Y in ...

Q: Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over th...

A: Correlation:   A statistical method that is applied between the pairs of variables to check how the ...

Q: Statistics Question

A: State the hypotheses. That is, there is no evidence to conclude that waiting time for its customers...

Q: The time required for housekeeping to clean a hotel room for the next customer varies between 25 and...

A: Obtain the time that represents the 70th percentile of this distribution. The time that represents t...

Q: A. The owner of a computer repair shop has determined that his daily revenue has a mean of $7000 and...

A: Note: Hey there! Thank you for the question. As you have posted multiple questions together, as per ...

Q: Birth weights at a local hospital have a Normal distribution, with a mean of 110110 oz and a standar...

A: Click to see the answer

Q: Do a hypothesis for the following, make sure to include and label all five steps:   Test the claim t...

A: Click to see the answer

Q: A survey was done of smartphone usage. Shown below is the talk time in minutes per day for a set of ...

A: From the provided information, The hypotheses can be constructed as: H0: µ = 14 H1: µ < 14 The le...

Q: Compute Cov(X,Y)

A: Solution: From the given information, the joint distribution is

Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without rep...

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items w...

Q: How can I check a solution to a system of equations using substitution?

A: Solve one of the equations for either x or y. Substitute the solution from step 1into the other equa...

Q: A medical researcher wishes to see whether the variance of the heart rates (in beats per minute) of ...

A: Click to see the answer