Are statistics students' study hours less than the recommended number of hours per unit? The data show e results of a survey of 15 statistics students who were asked how many hours per unit they studied. sume a normal distribution for the population. 2.8, 1.5, 2.1, 1.1, 1, 3, 1.6, 0.6, 1.7, 1.4, 0, 1, 0, 3 hat can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ♥ H1: ? Select an answer ♥ c. The test statistic ? v |(please show your answer to 3 decimal places.) d. The p-value = |(Please show your answer to 4 decimal places.) e. The p-value is ?a f. Based on this, we should Select an answer ♥ the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. O The data suggest the population mean is not significantly less than 2 at a = 0.05, 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 a = 0.05, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. h. Interpret the p-value in the context of the study. Olf the population mean study time per unit for statistics students is 2 and if you survey another 15 statistics students, then there would be a 1.78725181% chance that the population mean study time per unit for statistics students would be less than 2. O If the population mean study time per unit for statistics students is 2 and if you survey another 15 statistics students, then there would be a 1.78725181% chance that the sample mean for these 15 statistics students would be less than 1.39. O There is a 1.78725181% chance that the population mean study time per unit for statistics students is less than 2. There is a 1.78725181% chance of a Type I error. i. Interpret the level of significance in the context of the study. O If the population mean study time per unit for statistics students is 2 and if you survey another 15 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is less than 2. O If the population mean study time per unit for statistics students is less than 2 and if you survey another 15 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal

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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 15 statistics students who were asked how many hours per unit they studied.
Assume a normal distribution for the population.
0, 2.8, 1.5, 2.1, 1.1, 1, 3, 1.6, 0.6, 1.7, 1.4, 0, 1, 0, 3
What can be concluded at the a = 0.05 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? v| Select an answer v
Hi: ? v| Select an answer v
c. The test statistic ? v =
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? va
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is
sufficient evidence to conclude that the population mean study time per unit for statistics
students is less than 2.
O The data suggest the population mean is not significantly less than 2 at a = 0.05, so there is
sufficient evidence to conclude that the population mean study time per unit for statistics
students is equal to 2.
O The data suggest that the population mean study time per unit for statistics students is not
significantly less than 2 at a = 0.05, so there is insufficient evidence to conclude that the
population mean study time per unit for statistics students is less than 2.
h. Interpret the p-value in the context of the study.
O If the population mean study time per unit for statistics students is 2 and if you survey another
15 statistics students, then there would be a 1.78725181% chance that the population mean
study time per unit for statistics students would be less than 2.
O If the population mean study time per unit for statistics students is 2 and if you survey another
15 statistics students, then there would be a 1.78725181% chance that the sample mean for
these 15 statistics students would be less than 1.39.
O There is a 1.78725181% chance that the population mean study time per unit for statistics
students is less than 2.
O There is a 1.78725181% chance of a Type I error.
i. Interpret the level of significance in the context of the study.
O If the population mean study time per unit for statistics students is 2 and if you survey another
15 statistics students, then there would be a 5% chance that we would end up falsely
concuding that the population mean study time per unit for statistics students is less than 2.
O If the population mean study time per unit for statistics students is less than 2 and if you
survey another 15 statistics students, then there would be a 5% chance that we would end up
falsely concuding that the population mean study time per unit for statistics students is equal
to ?
Transcribed Image Text: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 15 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0, 2.8, 1.5, 2.1, 1.1, 1, 3, 1.6, 0.6, 1.7, 1.4, 0, 1, 0, 3 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer v Hi: ? v| Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. O The data suggest the population mean is not significantly less than 2 at a = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2. O The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at a = 0.05, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. h. Interpret the p-value in the context of the study. O If the population mean study time per unit for statistics students is 2 and if you survey another 15 statistics students, then there would be a 1.78725181% chance that the population mean study time per unit for statistics students would be less than 2. O If the population mean study time per unit for statistics students is 2 and if you survey another 15 statistics students, then there would be a 1.78725181% chance that the sample mean for these 15 statistics students would be less than 1.39. O There is a 1.78725181% chance that the population mean study time per unit for statistics students is less than 2. O There is a 1.78725181% chance of a Type I error. i. Interpret the level of significance in the context of the study. O If the population mean study time per unit for statistics students is 2 and if you survey another 15 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is less than 2. O If the population mean study time per unit for statistics students is less than 2 and if you survey another 15 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to ?
Expert Solution
Step 1

a.

 

In this case, the sample size is less than 30 and the population standard deviation is not given.

Moreover, the population is normally distributed.

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