8. True or False: When using data from the same sample, the 95% confidence interval for...

8. True or False: When using data from the same sample, the 95% confidence interval for µ will always support the results from a 2-sided, 1 sample t-test. Explain your reasoning.

Expert Solution

Solution:

Statement: When using data from the same sample, the 95% confidence interval for µ will always support the results from a 2-sided, 1 sample t-test

True.

Confidence interval gives the interval estimate for parameter of population.

95% confidence interval for µ gives two limits, in which population parameter fall with 95% confidence.

Results in hypothesis testing is same as results obtained from confidence interval.

In hypothesis testing , we reject null hypothesis, if value of the test statistic below left tail critical value or above the right tail critical value, otherwise we fail to reject H0.

Similarly in case of confidence interval, we reject H0, if population parameter µ is less than lower limit of confidence interval or above the upper limit confidence interval.

Thus the 95% confidence interval for µ will always support the results from a 2-sided, 1 sample t-test , otherwise we fail to reject H0.

orchestra answered 2 years ago

True or False: When using data from the same sample, the 95% confidence interval for µ...

True or False: When using data from the same sample, the 95% confidence interval for µ will always support the results from a 2-sided, 1 sample t-test. Explain your reasoning.

True or False 1. A 95% confidence interval of {-.5, 3.5} means that, on 95% of...

True or False 1. A 95% confidence interval of {-.5, 3.5} means that, on 95% of repeated experiments, the sample mean will be between -.5 and 3.5. 2. The probability of making a type-I error depends, in part, on power. 3. In general, 4. According to the central limit theorem, the sample mean, , is always normally distributed, even when population distribution of x is not normal

Judge whether the following statements are true or false. Suppose a 95% confidence interval for the...

Judge whether the following statements are true or false. Suppose a 95% confidence interval for the proportion of students who drink alcohol at TAMU is (0.61, 0.67). a. The inference is that you can be 95% confident that the sample proportion falls between 0.61 and 0.67. True or False b. The inference is that there is a 95% chance that the population proportion falls between 0.61 and 0.67. True or False c. If we took many random samples of the...

True or False A) Let’s say that is has been established that a 95% confidence interval...

True or False A) Let’s say that is has been established that a 95% confidence interval for the mean number of oranges eaten per week per person is 0.8 to 2.6. True or false: The mean number of oranges eaten for 95% of all samples will fall between 0.8 and 2.6. No explanation necessary. B) True or false: X-bar is the mean of the sampling distribution? (It is found in the center.) Choose from the following There is a group...

For the same sample size, would you rather have a 95% CI [confidence interval] or a...

For the same sample size, would you rather have a 95% CI [confidence interval] or a 85% CI? Why or why not?

1 - A 95% confidence interval for a population proportion was constructed using a sample proportion...

1 - A 95% confidence interval for a population proportion was constructed using a sample proportion from a random sample. Which of the following statements are correct? Select all that apply. A) We don't know if the 95% confidence interval actually does or doesn't contain the population proportion. B) The population proportion must lie in the 95% confidence interval. C) There is a 95% chance that the 95% confidence interval actually contains the population proportion. D) The sample proportion must...

Refer to Exhibit 8-1. If the sample mean is 9 hours, then the 95% confidence interval...

Refer to Exhibit 8-1. If the sample mean is 9 hours, then the 95% confidence interval is approximately Exhibit 8-1: In order to estimate the average time spent on the computer terminals per student at a local university, data were collected from a sample of 81 business students over a one-week period. Assume the population standard deviation is 1.2 hours. a. 7.04 to 110.96 hours b. 7.36 to 10.64 hours c. 7.80 to 10.20 hours d. 8.74 to 9.26 hours

1-4): True or False? 1) The sample statistic is at the center of a confidence interval...

1-4): True or False? 1) The sample statistic is at the center of a confidence interval for that statistic. 2) In a hypothesis test, increasing the significance level increases the chance of making a type 1 error. 3) Failure to reject the null hypothesis test in a hypothesis test implies strong support for the null hypothesis. 4) When no prior belief about a population characteristic is held, construction of a confidence interval, rather than the use of hypothesis testing, is...

Construct a 95% confidence interval for u1 - u2 using the data presented in the table...

Construct a 95% confidence interval for u1 - u2 using the data presented in the table below: Flight Control 8.59 8.64 7.43 7.21 8.65 6.99 8.40 9.66 6.87 7.89 9.29 6.85 7.62 7.44 8.55 8.70 7.00 8.80 9.30 8.03 7.33 8.58 9.88 9.94 6.39 7.54 7.14 9.14 Let Ho be the null hypothesis that the vote is independent of age (that is there is no age gap in the vote). Test the null hypothesis at the x=0.10 significance level.

The 95% confidence interval for the mean, calculated from a sample of size n = 25...

The 95% confidence interval for the mean, calculated from a sample of size n = 25 is 2.233163 ≤ μ ≤ 3.966837 . Determine the sample mean X ¯ = (round to the first decimal place). Assuming that the data is normally distributed, determine the sample standard deviation s = (round to the first decimal place)

Question