Skip to main content
Ch. 1 - Introduction to Statistics
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoTriola 14th EditionCh. 1 - Introduction to StatisticsProblema 1.1.24
Capitolo 1, Problema 1.1.24

In Exercises 21–24, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from Data Set 5 in Appendix B.)
[IMAGE]
Conclusion If we analyze the listed body temperatures with suitable methods of statistics, we conclude that when the differences are found between the 8 AM body temperatures and the 12 AM body temperatures, there is a 64% chance that the differences can be explained by random results obtained from populations that have the same 8 AM and 12 AM body temperatures. What should we conclude about the statistical significance of those differences?

Guida verificata passo dopo passo
1
Understand the concept of statistical significance: Statistical significance is a determination that a relationship between variables is caused by something other than chance. In this context, it refers to whether the differences in body temperatures at 8 AM and 12 AM are due to random variation or a true underlying effect.
Identify the given probability: The problem states that there is a 64% chance that the differences can be explained by random results. This probability is often referred to as the p-value in hypothesis testing.
Interpret the p-value: A p-value is a measure of the probability that an observed difference could have occurred just by random chance. In general, a p-value less than 0.05 (5%) is considered statistically significant, meaning the observed effect is unlikely to be due to chance.
Compare the p-value to the significance level: In this problem, the p-value is 0.64 (64%), which is much higher than the common significance level of 0.05. This suggests that the differences in body temperatures are likely due to random variation rather than a true effect.
Draw a conclusion: Since the p-value is greater than the typical significance level, we conclude that the differences in body temperatures at 8 AM and 12 AM are not statistically significant. This means there is not enough evidence to suggest a true difference in body temperatures at these times.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
2m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Statistical Significance

Statistical significance refers to the likelihood that a result or relationship is caused by something other than mere random chance. In hypothesis testing, a result is considered statistically significant if the p-value is less than a predetermined significance level, often 0.05. This means that the observed effect is unlikely to have occurred under the null hypothesis.
Video consigliato:
Percorso guidato
05:53
Parameters vs. Statistics

P-value

The p-value is a measure used in statistical hypothesis testing to determine the strength of the evidence against the null hypothesis. It represents the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is true. A lower p-value indicates stronger evidence against the null hypothesis, suggesting that the observed data is unlikely to occur by random chance alone.
Video consigliato:
Percorso guidato
06:50
Step 3: Get P-Value

Random Variation

Random variation refers to the natural fluctuations in data that arise from random processes. In the context of statistical analysis, it is important to distinguish between variations caused by random chance and those caused by actual differences or effects. Understanding random variation helps in determining whether observed differences in data are statistically significant or simply due to random noise.
Video consigliato:
Percorso guidato
07:09
Intro to Random Variables & Probability Distributions
Pratica correlata
Domanda del libro di testo

Directions in Degrees Standard navigation systems used for aviation and boating are based on directions measured in degrees, with north represented by 0° Relative to north, east is 90°, south is 180°, and west is 270°. What is the level of measurement of such directions measured in degrees?

270
views
Domanda del libro di testo

In Exercises 21–28, determine whether the study is an experiment or an observational study, and then identify a major problem with the study.

Sleep Study When designing the study of a new treatment for insomnia in adults, researchers were criticized because their test subjects consisted of 75 college students. They then expanded the study so that 750 college students were given the treatment.

310
views
Domanda del libro di testo

In Exercises 37–44, answer the given questions, which are related to percentages.

Percentages in Advertising An ad for Big Skinny wallets included the statement that one of their wallets “reduces your filled wallet size by 50%–200%.” What is wrong with this statement?

268
views
Domanda del libro di testo

In Exercises 21–24, refer to the sample of body temperatures (degrees Fahrenheit) in the table below. (The body temperatures are from Data Set 5 in Appendix B.)

[IMAGE]

Context of the Data Refer to the table of body temperatures. Is there some meaningful way in which each body temperature recorded at 8 AM is matched with the 12 AM temperature?

313
views
Domanda del libro di testo

In Exercises 21–28, determine which of the four levels of measurement (nominal, ordinal, interval, ratio) best describes the given data.

Criminology In a criminology study, the lengths of prison sentences are obtained for randomly selected subjects convicted of auto theft.

372
views