Which statement below describes a property of the t statistic of the one-sample t test? A....

Which statement below describes a property of the t statistic of the one-sample t test?

A.
The distribution of the t statistic (t distribution) under H₀ has a smaller (i.e. more narrow) spread than a standard normal distribution.
B.
The distribution of the t statistic (t distribution) under H₀ depends on n.
C.
The distribution of the t statistic (t distribution) under H₀ cannot be estimated unless n is large.
D.
Both A and B.

Solutions

Expert Solution

correct option is:

B. The distribution of the t statistic (t distribution) under H₀ depends on n.

(the t distribution is more spread out then normal distribution)

orchestra answered 1 year ago

Next > < Previous

Related Solutions

For the data below, test the significance of the t test statistic using a=0.01 and the...

For the data below, test the significance of the t test statistic using a=0.01 and the claim p=0. x: 3 5 12 9 7 6 8 10 11 4 y: 21 16 4 9 13 14 11 6 5 18

The test statistic of a two-tailed t-test for a sample size of 12 was found to...

The test statistic of a two-tailed t-test for a sample size of 12 was found to be 2.1. At a significance level of α = 0.05 ,which of the following statements is correct? Group of answer choices a.The P-value is smaller than 0.05 b.We fail to reject the Null hypothesis c.The test statistic is in the critical region d.The alternative hypothesis is H1: A market researcher wants to estimate the proportion of households in the Bay Area who order food...

Which of the following statement is true? I. A statistic describes the characteristic of a population....

Which of the following statement is true? I. A statistic describes the characteristic of a population. II. If we triple the sample size, then the standard deviation of the sampling distribution of the sample mean will decrease by a factor of 1/sqrt(3) III. The standard deviation of a t-distribution becomes larger as we decrease the degrees of freedom. 1. II only 2. III only 3. I only 4. II and III 5.!, II, and III

The one-sample z-test and the one-sample t-test both test if a sample mean is representative of...

The one-sample z-test and the one-sample t-test both test if a sample mean is representative of a population. What is the difference between these two tests?

Write a simulation in R that shows the distribution of the t-‐test statistic for a two-‐sample...

Write a simulation in R that shows the distribution of the t-‐test statistic for a two-‐sample t test when the null hypothesis is true (i.e. when H0: µ1 -‐ µ2 = 0 is true). To do this, you should use a for loop that repeatedly performs t-‐tests comparing sample means of data that come from distributions with the same population mean and standard deviation. Use rnorm() to take samples, t.test() to perform the t-‐ tests, and use “$statistic” to extract...

2.2. Indicate which test (paired samples (ie dependent) t-test, independent two samples t-test, one-sample t-test, independent...

2.2. Indicate which test (paired samples (ie dependent) t-test, independent two samples t-test, one-sample t-test, independent samples z-test) is most appropriate for the following situations : A. Comparison of weight gain of two groups of 18 cows where one group was raised following standard practices and the other group was raised following “organic” standards. B. Comparison of scores on a fitness test of Olympic-class distance runners (n=20) with the national average score of people of a similar age range (22-31...

A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test...

A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 1% significance level. x=29, s=6, n=15, H0: μ=27, Ha: μ≠27 The test statistic is t=_______ (Round to two decimal places as needed.) The P-value is ______ (Round to three decimal places as needed.) ▼ ______ the null hypothesis. The data _____ sufficient evidence to conclude that the mean is ______ ▼

Which statement below best describes the hybridization of phosphorus in PH3? A One electron is promoted...

Which statement below best describes the hybridization of phosphorus in PH3? A One electron is promoted from the s orbital into a p orbital, and four sp3 orbitals are formed. B No electrons are promoted, and three sp2 orbitals are formed. C One electron is promoted from the s orbital into a p orbital, and three sp2 orbitals are formed. D No electrons are promoted, and four sp3 orbitals are formed.

I assert that the critical value of t, for a One sample t Test with a...

I assert that the critical value of t, for a One sample t Test with a nondirectional alternative hypothesis and using a particular α level, will increase as sample size increases. Am I correct? Circle “YES” or “NO.” If NO, explain why not?

Which design is NOT appropriate for the one-sample t test? a. Matched pairs b. A design...

Which design is NOT appropriate for the one-sample t test? a. Matched pairs b. A design with one group c. A design with two groups, each with different subjects d. A design with two groups, each with the same subjects What does a p-value tell you, in a test with Ha : μ > 0? a. The probability of observing a score less than the observed score b. The probability of observing a score equal to the observed score c....

Subjects