Question

multiple choice: 4) The sampling distribution of x̅1-x̅2 has a mean value equal to . a....

multiple choice:

4) The sampling distribution of x̅1-x̅2 has a mean value equal to .

a. 0 b. μ1-μ2 c. N d. Sx̅1- x̅2

True-false questions

5) If we reject H0 one can say the experimental results are significant.

6) By making alpha smaller we can decrease the probability of making a Type I error.

7) As the probability of making a Type I error goes down by making α more stringent, the probability of making a Type II error goes up.

8) Power is the probability of making a correct decision when H0 istrue.

9) If one conducts an experiment and ends up failing to reject H0, it’s probably because the experiment was not powerful enough.

10) Increasing sample size, making α more stringent, and increasing the effect of the independent variable all increase power.

11) In general critical t value is greater than critical z value at the same α level.

12) The 95% confidence interval means that 95% of the time x̅=μ. 1

3) For a sample mean, the 99% confidence interval is wider than the 95% confidence interval.

14) The larger the sample size the more likely x̅ is close to μ.

15) Changing sample size has no effect on power when using the t test.

16) For the independent two-sample t test, increasing sample variances decreases power

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Ans:

4)The sampling distribution of x̅1-x̅2 has a mean value equal to 0

5)True

6)True,as type I error=alpha

7)True,smaller the alpha,less likely to reject the null hypothesis,so type II error increases.

8)False,as Power is the probability of making a correct decision when H0 is false.

9)True

10)True

11)True,as t distribution is wider for smaller n

12)False

13)True,larger the confidence level,wider the confidence interval

14)False,as larger the n,larger the test statistic,more likely to reject the null hypothesis.

15)False,larger the n,larger the power

16)True,Larger the variance,larger the standard error,smaller the test statistic,larger the probability of type II error,smaller the power

Add a comment
Know the answer?
Add Answer to:
multiple choice: 4) The sampling distribution of x̅1-x̅2 has a mean value equal to . a....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Suppose that you are testing the hypotheses H0​: μ=70 vs. HA​: μ≠70. A sample of size...

    Suppose that you are testing the hypotheses H0​: μ=70 vs. HA​: μ≠70. A sample of size 41 results in a sample mean of 65 and a sample standard deviation of 1.7. a) What is the standard error of the​ mean? ​ b) What is the critical value of​ t* for a 99​% confidence​ interval? ​ c) Construct a 99​% confidence interval for μ. ​ d) Based on the confidence​ interval, at α=0.010 can you reject H0​? Explain.

  • need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16....

    need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16. A sample of size 16 results in a sample mean of 15.5 and a sample standard deviation of 20 a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for μ. d) Based on the confidence interval, at α#0.05 can you reject Ho? Explain. a) The...

  • 6. Let Xi 1,... ,Xn be a random sample from a normal distribution with mean u and variance ơ2 whi...

    6. Let Xi 1,... ,Xn be a random sample from a normal distribution with mean u and variance ơ2 which are both unknown. (a) Given observations xi, ,Xn, one would like to obtain a (1-a) x 100% one-sided confidence interval for u as a form of L E (-00, u) the expression of u for any a and n. (b) Based on part (a), use the duality between confidence interval and hypothesis testing problem, find a critical region of size...

  • Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size...

    Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 155 and the population standard deviation is assumed known with σ = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0? (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and...

  • Many businesses rent a limousine to chauffeur important clients to/from airport, hotel, or office. A random...

    Many businesses rent a limousine to chauffeur important clients to/from airport, hotel, or office. A random sample of the cost (in dollars) of renting a limousine for an entire day in Cincinnati was obtained. The sample size was 51, the sample mean was 410.25 and the sample standard deviation was 35.07. Let μ be the population mean of the cost of renting a limousine for businesses for an entire day in Cincinnati. Obtain a point estimate for μ and its...

  • a). The distribution of all _____ proportions is denoted by P ̂. ( ) A population...

    a). The distribution of all _____ proportions is denoted by P ̂. ( ) A population B sample C random D observed b). Aviation experts fear that pilots are being asked to fly longer than is recommended by national guidelines. Current FAA regulations for domestic flights generally limit pilots to eight hours of flight time during a 24-hour period. FAA administrators conduct an analysis using a large sample of flight records for domestic flights in the past year. The average...

  • 4) Your company manufactures 200 mg ibuprofen tablets. You randomly sample 25 tablets and measure...

    please solve both questions 4&5 and solve all parts. 4) Your company manufactures 200 mg ibuprofen tablets. You randomly sample 25 tablets and measure their mass, then calculate the average mass X from this sample. You know that the standard deviation of tablet mass from your manufacturing process is ơ- 0 mg a. Specify a null and alternative process to determine whether or the mass of ibuprofen tablets from your process is 200 mg b. You reject the null hypothesis...

  • A construction firm thinks that it is receiving 100 steel pipes with an average tensile strength...

    A construction firm thinks that it is receiving 100 steel pipes with an average tensile strength of 10,000 pounds per square inch(lbs p.s.i.).This is the mean,μ.The size of the sample was n=100.The firm also knows that the population standard deviation,sigma,σ,is 400 p.s.i.The firm chooses a confidence interval of 95 %.This is equivalent to a level of significance,α,of 5 %(.05),where the null hypothesis is H0:μ0=10,000 and the alternative hypothesis is H1:μ0≠10,000.The company does not know that the actual, average tensile strength...

  • a random sample of size n 200 is taken and the sample proportion p = 0.21

    Pg 417 6.47 For a hypothesis test H0: p =  0.3 Ha: p < 0.3 a random sample of size n 200 is taken and the sample proportion p = 0.21 (a) Determine whether it is appropriate to use the normal distribution to estimate the p-value. (b) If it is appropriate to use a normal distribution, complete the test for a significance level of 5% Pg 418 6.55 Home Field in Baseball 2009 There were 2430 Major League Baseball games played in 2009, and the home team won the...

  • Please give explanation................................................. Multiple Choice. Select the best response 1. An estimator is said to be...

    Please give explanation................................................. Multiple Choice. Select the best response 1. An estimator is said to be consistent if a. the difference between the estimator and the population parameter grows smaller as the sample b. C. d. size grows larger it is an unbiased estimator the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger 2. An unbiased estimator of a population parameter is defined as...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT