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Ryan is growing 10 saplings in a greenhouse, labeled A thru J. He makes these observations about their height: E F G H. 8cm 12cm 13cm | 8cm B J Sunday Saturday 13cm 13cm 13cm 11cm 11cm 11cm 12cm 12cm 10cm 11cm 11cm 12cm 10cm 10cm 10cm 11cm Run a hypothesis test to determine at a 5% significance level if the saplings grew over the course of the week (or if maybe any increases were just errors in measurement). 1. Our null hypothesis in situations like this is always "there is no difference." Which means the difference between the two sample means should be 0. Or µ1– µ2 = 0. Which means this is a problem about the differences of these two rows. Add a third row and subtract the two rows. It doesn't matter which one you do from which (whatever makes sense to you). 2. Calculate the mean and standard deviation of the second row. Calculators are fine. 3. In mathematics, at this point we'd say the problem has been “reduced to a previously- known method." This is a hypothesis testing problem of a single mean, like we did last week. (a) What is the sample size? (b) What is the hypothesized mean? (c) What is the sample mean? (d) What is the sample standard deviation? (e) What is the mean and standard deviation of the sampling distribution?

Ryan is growing 10 saplings in a greenhouse, labeled A thru J. He makes these observations about their height: E F G H. 8cm 12cm 13cm | 8cm B J Sunday Saturday 13cm 13cm 13cm 11cm 11cm 11cm 12cm 12cm 10cm 11cm 11cm 12cm 10cm 10cm 10cm 11cm Run a hypothesis test to determine at a 5% significance level if the saplings grew over the course of the week (or if maybe any increases were just errors in measurement). 1. Our null hypothesis in situations like this is always "there is no difference." Which means the difference between the two sample means should be 0. Or µ1– µ2 = 0. Which means this is a problem about the differences of these two rows. Add a third row and subtract the two rows. It doesn't matter which one you do from which (whatever makes sense to you). 2. Calculate the mean and standard deviation of the second row. Calculators are fine. 3. In mathematics, at this point we'd say the problem has been “reduced to a previously- known method." This is a hypothesis testing problem of a single mean, like we did last week. (a) What is the sample size? (b) What is the hypothesized mean? (c) What is the sample mean? (d) What is the sample standard deviation? (e) What is the mean and standard deviation of the sampling distribution?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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This uses the classical method / critical value method. Not the p-value method.

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Ryan is growing 10 saplings in a greenhouse, labeled A thru about their height: He makes these observations A B E F G H. I Sunday 11cm 11cm 12cm 13cm 10cm 11сm 10cm 12cm 8cm 13cm 8cm 11cm 12cm 10cm Saturday 13cm 13cm 11cm 12cm 10cm | 11cm Run a hypothesis test to determine at a 5% significance level if the saplings grew over the course of the week (or if maybe any increases were just errors in measurement). 1. Our null hypothesis in situations like this is always "there is no difference." Which means the difference between the two sample means should be 0. Or u1- u2 = 0. Which means this is a problem about the differences of these two rows. Add a third row and subtract the two rows. It doesn't matter which one you do from which (whatever makes sense to you). 2. Calculate the mean and standard deviation of the second row. Calculators are fine. 3. In mathematics, at this point we'd say the problem has been "reduced to a previously- known method." This is a hypothesis testing problem of a single mean, like we did last week. (a) What is the sample size? (b) What is the hypothesized mean? (c) What is the sample mean? (d) What is the sample standard deviation? (e) What is the mean and standard deviation of the sampling distribution? 4. Calculate the test statistic for a mean using the information you gathered for number 3 and determine a conclusion. You can review how to do this from last week's material.
Transcribed Image Text:Ryan is growing 10 saplings in a greenhouse, labeled A thru about their height: He makes these observations A B E F G H. I Sunday 11cm 11cm 12cm 13cm 10cm 11сm 10cm 12cm 8cm 13cm 8cm 11cm 12cm 10cm Saturday 13cm 13cm 11cm 12cm 10cm | 11cm Run a hypothesis test to determine at a 5% significance level if the saplings grew over the course of the week (or if maybe any increases were just errors in measurement). 1. Our null hypothesis in situations like this is always "there is no difference." Which means the difference between the two sample means should be 0. Or u1- u2 = 0. Which means this is a problem about the differences of these two rows. Add a third row and subtract the two rows. It doesn't matter which one you do from which (whatever makes sense to you). 2. Calculate the mean and standard deviation of the second row. Calculators are fine. 3. In mathematics, at this point we'd say the problem has been "reduced to a previously- known method." This is a hypothesis testing problem of a single mean, like we did last week. (a) What is the sample size? (b) What is the hypothesized mean? (c) What is the sample mean? (d) What is the sample standard deviation? (e) What is the mean and standard deviation of the sampling distribution? 4. Calculate the test statistic for a mean using the information you gathered for number 3 and determine a conclusion. You can review how to do this from last week's material.
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