In conducting research that looks at differences in populations, samples are used for numerous reasons. Using entire populations in a test is difficult, so various sampling techniques are applied. In situations in which the population variance is unknown, the Student t distribution is often used. To use this distribution, certain assumptions must be made. Which of the following statements is not correct?

Question

In conducting research that looks at differences in populations, samples are used for numerous reasons. Using entire populations in a test is difficult, so various sampling techniques are applied. In situations in which the population variance is unknown, the Student t distribution is often used. To use this distribution, certain assumptions must be made. Which of the following statements is not correct?

a. 0 The t distribution is a family of distributions.
b. 0 It is a symmetrical, mound shape distribution.
c. 0 It is a continuous distribution.
d. 0 It has less spread than the standard normal distribution.

Answer 1

Please type your subject in the School Subject box. Any other words, including obscure abbreviations, are likely to delay responses from a teacher who knows that subject well.

Answer 2

I need to know what the correct anwser is a or b or c or d

Answer 3

To determine the correct statement that is not correct, we need to understand the characteristics and assumptions of the Student t distribution.

The Student t distribution is a family of distributions that is used when the population variance is unknown and small sample sizes are being used. It is a symmetrical, mound-shaped distribution and it is continuous, meaning that it can take any value on the real number line.

However, the incorrect statement is "d. It has less spread than the standard normal distribution." This statement is not correct because the Student t distribution actually has more spread (greater variability) than the standard normal distribution, especially for small sample sizes.

To arrive at this conclusion, we can conduct a hypothesis test where the population variance is unknown and the sample size is small. We can then calculate the test statistic using the t-distribution formula, which incorporates the sample size into the calculation. By comparing this test statistic to the critical value from the t-distribution table, we can assess whether the null hypothesis is rejected or not.

In summary, the correct answer is d. "It has less spread than the standard normal distribution."