Homework Answers
5) option E is correct answer.
The total area under the density curve depends on the degrees of freedom. its wrong. since the total area of density is always one.
6) option D is correct
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QUESTION 5 Which statement concerning the t-distribution is false? O AT follows a standard normal distribution...
Which of the following is true for the t distribution? O A. There are many t...
Which of the following is true for the t distribution? O A. There are many t distributions, depending on the sample size. OB. The t distribution approaches the Z distribution for smaller sample sizes. C. Confidence intervals will be narrower than those constructed from larger samples. OD. The distribution is positively skewed.
How is the t-distribution similar to the standard normal z-distribution? a. Both are symmetrical distributions around...
How is the t-distribution similar to the standard normal z-distribution? a. Both are symmetrical distributions around zero. b. Both are discrete distributions. c. Both have probability density functions are are defined by "degrees of freedom" d. Both are skewed distributions.
The shape of which distribution is not controlled by the degrees of freedom? F t Which...
The shape of which distribution is not controlled by the degrees of freedom? F t Which of the following accurately represents characteristics of the x2 distribution? There may be more than one correct answer, select all that are correct. The degrees of freedom for a Chi-square test of independence are k-1. As the degrees of freedom increase, the critical value of the chi-square distribution becomes larger. | It can assume both negative and positive values. The Chi-square goodness-of-fit test is...
The t statistic, the t distribution, and sample size The average duration of labor from the...
The t statistic, the t distribution, and sample size
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours. Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours. You want to test the hypothesis that...
QUESTION 15 10 points june has a dataset of sample size 10. She wants to test the following hypothesis She knows that the data follows a normal distribution, and has a population standard dev...
QUESTION 15 10 points june has a dataset of sample size 10. She wants to test the following hypothesis She knows that the data follows a normal distribution, and has a population standard deviation of 2·Looking at the two. sided normal distribution oc curve for o-0.05 with p-0.1 and sample size 1o, she sees that dr. aaed on ees nformation, what is the minimum difference between the true population mean and the hypot res ineano un·ne power of 0.97 O...
A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary...
A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary problems. They are interested in estimating the mean score for all those who take the test. A random sample of 51 people have taken the test and the mean test score for the sample is 65. The sample standard deviation for this group is 9.7 Calculate the 95% confidence interval for the mean test score. Give your answers to 2 decimal places. True False...
Use technology to create sampling distributions for a uniform population distribution. Complete parts a through d...
Use technology to create sampling distributions for a uniform population distribution. Complete parts a through d below. Population Distribution a. Use technology to create a sampling distribution for the sample mean using sample sizes n=2. Take N=5000 repeated samples of size 2, and observe the histogram of the sample means. What shape does this sampling distribution have? O A. The sampling distribution is triangular. OB. The sampling distribution is normal. OC. The sampling distribution is uniform. OD. The sampling distribution...
Given X, and x, distributions that are normal or approximately normal with unknown o, and on,...
Given X, and x, distributions that are normal or approximately normal with unknown o, and on, the value of t corresponding to X, - X, has a distribution that is approximated by a Student's t distribution. We use the convention that the degrees of freedom is approximately the smaller of n - 1 and n, - 1. However, a more accurate estimate for the appropriate degrees of freedom is given by Satterthwaite's formula: 2 2 xn2 522 +$22) d.f. z...
True or False (1 point each) (Correct the ones that are false) The purpose of an interval estima...
True or False (1 point each) (Correct the ones that are false) The purpose of an interval estimate is to provide information about how close a point estimate, i.e. sample statistic, is to the population parameter. If the population standard deviation is unknown and cannot be estimated from historical data, an interval estimate for the population mean can be constructed by substituting the sample standard deviation and using the t distribution instead of the normal distribution. You cannot determine a...
1. Fill in the blank. In a one-sample t-test, we use the _________ to estimate...
1. Fill in the blank. In a one-sample t-test, we use the _________ to estimate the population standard deviation in order to calculate the standard error. How do you find the degrees of freedom (df) for a one-sample t-test? a. N b. Calculate the standard deviation of the sample c. n-2 d. n-1 Which of the following influences the likelihood of obtaining significant results? a. The larger your estimated standard error, the more likely it will be to get...
Which of the following is true for the t distribution? O A. There are many t distributions, depending on the sample size. OB. The t distribution approaches the Z distribution for smaller sample sizes. C. Confidence intervals will be narrower than those constructed from larger samples. OD. The distribution is positively skewed.
The shape of which distribution is not controlled by the degrees of freedom? F t Which of the following accurately represents characteristics of the x2 distribution? There may be more than one correct answer, select all that are correct. The degrees of freedom for a Chi-square test of independence are k-1. As the degrees of freedom increase, the critical value of the chi-square distribution becomes larger. | It can assume both negative and positive values. The Chi-square goodness-of-fit test is...
The t statistic, the t distribution, and sample size
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours. Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours. You want to test the hypothesis that...
QUESTION 15 10 points june has a dataset of sample size 10. She wants to test the following hypothesis She knows that the data follows a normal distribution, and has a population standard deviation of 2·Looking at the two. sided normal distribution oc curve for o-0.05 with p-0.1 and sample size 1o, she sees that dr. aaed on ees nformation, what is the minimum difference between the true population mean and the hypot res ineano un·ne power of 0.97 O...
A psychologist has developed an aptitude test which consists of a series of mathematical and vocabulary problems. They are interested in estimating the mean score for all those who take the test. A random sample of 51 people have taken the test and the mean test score for the sample is 65. The sample standard deviation for this group is 9.7 Calculate the 95% confidence interval for the mean test score. Give your answers to 2 decimal places. True False...
Use technology to create sampling distributions for a uniform population distribution. Complete parts a through d below. Population Distribution a. Use technology to create a sampling distribution for the sample mean using sample sizes n=2. Take N=5000 repeated samples of size 2, and observe the histogram of the sample means. What shape does this sampling distribution have? O A. The sampling distribution is triangular. OB. The sampling distribution is normal. OC. The sampling distribution is uniform. OD. The sampling distribution...
Given X, and x, distributions that are normal or approximately normal with unknown o, and on, the value of t corresponding to X, - X, has a distribution that is approximated by a Student's t distribution. We use the convention that the degrees of freedom is approximately the smaller of n - 1 and n, - 1. However, a more accurate estimate for the appropriate degrees of freedom is given by Satterthwaite's formula: 2 2 xn2 522 +$22) d.f. z...
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