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- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/07%3A_Hypothesis_Testing/7.07%3A_Comparing_Two_Independent_Population_MeansConclusion: At the 5% level of significance, the sample data show there is sufficient evidence to conclude that the mean number of hours that the G Shift takes to process 100 pounds of coconuts is dif...Conclusion: At the 5% level of significance, the sample data show there is sufficient evidence to conclude that the mean number of hours that the G Shift takes to process 100 pounds of coconuts is different from the B Shift (mean number of hours for the B Shift is greater than the mean number of hours for the G Shift).
- https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/10%3A_Hypothesis_Testing_with_Two_Samples/10.02%3A_Comparing_Two_Independent_Population_MeansConclusion: At the 5% level of significance, the sample data show there is sufficient evidence to conclude that the mean number of hours that the G Shift takes to process 100 pounds of coconuts is dif...Conclusion: At the 5% level of significance, the sample data show there is sufficient evidence to conclude that the mean number of hours that the G Shift takes to process 100 pounds of coconuts is different from the B Shift (mean number of hours for the B Shift is greater than the mean number of hours for the G Shift).
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/04%3A_Discrete_Random_Variables/4.03%3A_Geometric_DistributionThis page explains the geometric probability distribution, highlighting its focus on trials until the first success, with characteristics like repeated Bernoulli trials. It includes examples such as c...This page explains the geometric probability distribution, highlighting its focus on trials until the first success, with characteristics like repeated Bernoulli trials. It includes examples such as calculating probabilities related to pancreatic cancer, women's literacy rates, a baseball player's batting average, and spotting Dalmatians based on specific criteria.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/10%3A_Hypothesis_Testing_with_Two_Samples/10.05%3A_Two_Population_Means_with_Known_Standard_DeviationsThis page covers hypothesis testing for independent means with known population standard deviations, using examples of floor wax efficacy and U.S. senator ages. It establishes null hypotheses to compa...This page covers hypothesis testing for independent means with known population standard deviations, using examples of floor wax efficacy and U.S. senator ages. It establishes null hypotheses to compare means and finds insufficient evidence to support alternative hypotheses, concluding that wax 1 does not outperform wax 2 and that Democratic senators are not older than their Republican counterparts at a 5% significance level.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/10%3A_Hypothesis_Testing_with_Two_Samples/10.01%3A_Comparing_Two_Independent_Population_MeansThis page discusses testing hypotheses for mean differences between independent populations, focusing on the Aspin-Welch t-test for unequal variances. It highlights the Central Limit Theorem's rol...This page discusses testing hypotheses for mean differences between independent populations, focusing on the Aspin-Welch t-test for unequal variances. It highlights the Central Limit Theorem's role in sample means distribution, illustrating standard error and test statistics calculation through a case study on coconut processing shifts.
- https://stats.libretexts.org/Bookshelves/Probability_Theory/Introductory_Probability_(Grinstead_and_Snell)/01%3A_Discrete_Probability_Distributions/1.01%3A__Simulation_of_Discrete_ProbabilitiesIn this chapter, we shall first consider chance experiments with a finite number of possible outcomes ω1, ω2, …, ωn.
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/04%3A_Discrete_Random_Variables/4.02%3A_Hypergeometric_DistributionSince the probability question asks for the probability of picking gumdrops, the group of interest (first group A in the formula) is gumdrops. What is the answer to the question "What is the probabili...Since the probability question asks for the probability of picking gumdrops, the group of interest (first group A in the formula) is gumdrops. What is the answer to the question "What is the probability of drawing 5 gumdrops in 10 picks from the dish?" What is the group of interest, the size of the group of interest, and the size of the sample?
- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/07%3A_Hypothesis_Testing/7.11%3A_Two_Population_Means_with_Known_Standard_DeviationsEven though this situation is not likely (knowing the population standard deviations is very unlikely), the following example illustrates hypothesis testing for independent means with known population...Even though this situation is not likely (knowing the population standard deviations is very unlikely), the following example illustrates hypothesis testing for independent means with known population standard deviations. At the 5% level of significance, from the sample data, there is not sufficient evidence to conclude that the mean age of Democratic senators is greater than the mean age of the Republican senators.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/11%3A_The_Chi-Square_Distribution/11.09%3A_Formula_ReviewThis page provides an overview of the chi-square distribution, detailing its definition, expected mean, and standard deviation. It explains the testing of a single variance, along with its formula and...This page provides an overview of the chi-square distribution, detailing its definition, expected mean, and standard deviation. It explains the testing of a single variance, along with its formula and the procedure that includes calculating degrees of freedom. It also covers the goodness-of-fit test, the test of independence, and the test for homogeneity, each with their formulas and degrees of freedom.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/10%3A_Hypothesis_Testing_with_Two_Samples/10.08%3A_Chapter_ReviewThis page discusses methods for comparing two independent population means and proportions, addressing both known and unknown population standard deviations. It introduces Cohen's d as an effect s...This page discusses methods for comparing two independent population means and proportions, addressing both known and unknown population standard deviations. It introduces Cohen's d as an effect size measure and highlights the importance of equal variance assumptions. The text specifies distribution characteristics for various statistical tests, such as the Student's t-distribution and normal distribution based on data conditions.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/06%3A_The_Normal_Distribution/6.07%3A_Formula_ReviewThis page offers a concise overview of the normal distribution, defining X as a variable with mean μ and standard deviation σ. It discusses the standard normal distribution, where \...This page offers a concise overview of the normal distribution, defining X as a variable with mean μ and standard deviation σ. It discusses the standard normal distribution, where Z has a mean of 0 and a standard deviation of 1, and explains how to convert between observed values and z-scores using specified formulas. Furthermore, it highlights the use of normal distribution to approximate binomial distributions.
