According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population.0, 0.7, 2.8, 1.5, 0.3, 2.6, 3, 0.4, 0.7, 0, 1, 1.2, 0What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer > = ≠ < H1:H1: ? p μ Select an answer ≠ = < > The test statistic ? z t = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? > ≤ ααBased on this, we should Select an answer reject fail to reject accept the null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton mean is significantly less than 2 at αα = 0.10, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2.The data suggest the population mean is not significantly less than 2 at αα = 0.10, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2.The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at αα = 0.10, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2.Interpret the p-value in the context of the study.If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 0.52434% chance that the population mean study time per unit for statistics students would be less than 2.If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 0.52434% chance that the sample mean for these 13 statistics students would be less than 1.09. There is a 0.52434% chance of a Type I error.There is a 0.52434% chance that the population mean study time per unit for statistics students is less than 2.Interpret the level of significance in the context of the study.There is a 10% chance that the population mean study time per unit for statistics students is less than 2.If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 10% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is less than 2.If the population mean study time per unit for statistics students is less than 2 and if you survey another 13 statistics students, then there would be a 10% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2.There is a 10% chance that students just don't study at all so there is no point to this survey.

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Answered: According to the Carnegie unit system,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 13 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population.

0, 0.7, 2.8, 1.5, 0.3, 2.6, 3, 0.4, 0.7, 0, 1, 1.2, 0

What can be concluded at the αα = 0.10 level of significance?

For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
The null and alternative hypotheses would be:

H0:H0: ? p μ Select an answer > = ≠ <

H1:H1: ? p μ Select an answer ≠ = < >

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? > ≤ αα
Based on this, we should Select an answer reject fail to reject accept the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton mean is significantly less than 2 at αα = 0.10, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2.
- The data suggest the population mean is not significantly less than 2 at αα = 0.10, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2.
- The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at αα = 0.10, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2.
Interpret the p-value in the context of the study.
- If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 0.52434% chance that the population mean study time per unit for statistics students would be less than 2.
- If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 0.52434% chance that the sample mean for these 13 statistics students would be less than 1.09.
- There is a 0.52434% chance of a Type I error.
- There is a 0.52434% chance that the population mean study time per unit for statistics students is less than 2.
Interpret the level of significance in the context of the study.
- There is a 10% chance that the population mean study time per unit for statistics students is less than 2.
- If the population mean study time per unit for statistics students is 2 and if you survey another 13 statistics students, then there would be a 10% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is less than 2.
- If the population mean study time per unit for statistics students is less than 2 and if you survey another 13 statistics students, then there would be a 10% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2.
- There is a 10% chance that students just don't study at all so there is no point to this survey.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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