Question

In: Statistics and Probability

To calculate a t-statistic for a specific sample, what information is needed about the population from...

To calculate a t-statistic for a specific sample, what information is needed about the population from which the sample was obtained?

Group of answer choices

the value for µ

the value of N

the value of Ơ

Solutions

Expert Solution

Solution:

Answer is

the value for µ

Explanation:

For testing the population mean µ , there are two options

z test for mean and t test for mean

When the population standard deviation is known , we use z test.

When it is unknown , we use t test. In t test , we use sample standard deviation.

The test statistic t is given by

t =  

where is sample mean , s is standard deviation , n is sample size , is hypothetical mean value.

(note that denotes the sample size , N denotes population size)

So , answer is

the value for µ


Related Solutions

What is needed to calculate the critical region for the t-test for a single sample? A....
What is needed to calculate the critical region for the t-test for a single sample? A. Alternative hypothesis only B. Alpha and Alternative Hypothesis only C. df, alpha, and alternative hypothesis D. df and alternative hypothesis only
Calculate the observed value of the t statistic for testing the difference between the two population...
Calculate the observed value of the t statistic for testing the difference between the two population means using paired data. Pairs Population 1 2 3 4 5 1 1.3 1.6 1.1 1.4 1.7 2 1.2 1.4 1.1 1.2 1.8 State the test statistic. (Round your answer to three decimal places.) t = Find the rejection region with α = 0.05. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t >...
Identify if population parament or sample statistic: Is statement population parameter or sample statistic? If, parameter,...
Identify if population parament or sample statistic: Is statement population parameter or sample statistic? If, parameter, then identify population and parameter. If sample, then, what is population, sample, and statistic? A) North Carolina State’s rugby team scored an average of 29.8 points per game in the 2015 season. B) Based on a new poll of 5000 citizens, they believe that 89% of voters plan to cast their ballot for Mayor Green in the upcoming election. C) A calculating fanatic conducts...
Analogy: A statistic is to a research sample as is what a _______is to a population....
Analogy: A statistic is to a research sample as is what a _______is to a population. Group of answer choices summary parameter data set measurement Flag this Question Question 4 1 pts Which of the following could be a variable to be measured among social work students? Group of answer choices income number of years of school completed satisfaction with BSW program all of the above Flag this Question Question 5 1 pts A measurement of a variable is said...
Using the information below, calculate a 95% T-confidence interval for the sample population. You have the...
Using the information below, calculate a 95% T-confidence interval for the sample population. You have the mean, standard deviation and the sample size, all you have left to find is the T-critical value and you can calculate the interval.   PLEASE SHOW WORK Once you calculate the confidence interval you will need to interpret your interval and explain what this means in words. Does your data follow a normal distribution? Vehicle type/class Year Make Model Price QUALITATIVE QUANTITATIVE QUALITATIVE QUALITATIVE QUANTITATIVE...
1. Identify if the statement is about population parameter or a sample statistic and explain your...
1. Identify if the statement is about population parameter or a sample statistic and explain your answer. If it is about a parameter identify the population, and if it is about a sample identify the population and the sample. A) 33% of all of the teams in the Basketball League are based in United States. B) A survey of 300 butchers found that the average butcher uses 1000 lbs. of salt each year. C) After taking measurements from 25,369 people,...
A sample has a mean of M = 60 and a t statistic of t =...
A sample has a mean of M = 60 and a t statistic of t = 4.5. For a one-tailed hypothesis test with α = .01, what is the correct statistical decision for this sample? Why? a. The researcher can reject the null hypothesis with α = .05 but not with α = .01. b. The researcher can reject the null hypothesis with either α = .05 or α = .01. c. The researcher must fail to reject the null...
9. A null hypothesis makes a claim about a _______. Multiple Choice sample statistic population parameter...
9. A null hypothesis makes a claim about a _______. Multiple Choice sample statistic population parameter sample mean type II error 10. The average cost of tuition plus room and board for a small private liberal arts college is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200....
The one-sample t statistic for testing H0: μ = 10 Ha: μ > 10 from a...
The one-sample t statistic for testing H0: μ = 10 Ha: μ > 10 from a sample of n = 22 observations has the value t = 1.83. What are the degrees of freedom for this statistic?     Answer: ________ Give the two critical values t* from the t distribution critical values table that bracket t. Answer: ______< t < ______          (C) Is the value t = 1.83 significant at the 5% level?               Yes               No     ...
The one-sample t statistic for testing H0: μ = 10 Ha: μ > 10 from a...
The one-sample t statistic for testing H0: μ = 10 Ha: μ > 10 from a sample of n = 15 observations has the value t = 1.96. (a) What are the degrees of freedom for this statistic? (b) Give the two critical values t* from the t distribution critical values table that bracket t. < t < (c) Between what two values does the P-value of the test fall? 0.005 < P < 0.01 0.01 < P < 0.02...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT