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- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/05%3A_Continuous_Probability_Distributions_and_The_Normal_Distribution/5.03%3A_The_Standard_Normal_Distribution/5.3.01%3A_ExercisesWhat is the probability that a student needed between 60 and 70 minutes to complete the test? What is the probability that a student takes at most 55 minutes to complete the test? The patient recovery...What is the probability that a student needed between 60 and 70 minutes to complete the test? What is the probability that a student takes at most 55 minutes to complete the test? The patient recovery time from a particular surgical procedure is normally distributed with a mean of 7 days and a standard deviation of 2.1 days. Images are created with the graphing calculator, used with permission from Desmos Studio PBC.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/02%3A_Descriptive_Statistics/2.03%3A_Quantifying_Variability_Relative_to_the_Median50% of the data is below the median, and 50% of the data is above the median. To find the quartiles, we find the median of the lower half and upper half of the data set. The median, first quartile Q1,...50% of the data is below the median, and 50% of the data is above the median. To find the quartiles, we find the median of the lower half and upper half of the data set. The median, first quartile Q1, and third quartile Q3, together with the minimum and maximum values in the set, make up the five number summary. When a set contains an odd number of values, the middle value is not included in the lower or upper half of the given data set to compute the quartiles.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/03%3A_Probability/3.03%3A_The_Addition_and_Complement_RulesIf events \(A\) and \(B\) are mutually exclusive, the probability that event \(A\) or event \(B\) will occur is the sum of the individual probabilities. What is the probability that a randomly selecte...If events \(A\) and \(B\) are mutually exclusive, the probability that event \(A\) or event \(B\) will occur is the sum of the individual probabilities. What is the probability that a randomly selected adult in the US is divorced or separated? What is the probability that a randomly selected adult in the US is separated or female? This rule is useful when the computation of the probability of event \(A\) is complicated, but the probability of the complement of \(A\) is simpler.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/07%3A_Inference_Involving_a_Single_Population_Mean
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/zz%3A_Back_Matter/20%3A_GlossaryCommon notation for variables are upper-case Latin letters \(X, Y, Z,\)... Common notation for a specific value from the domain (set of all possible values of a variable) are lower-case Latin letters ...Common notation for variables are upper-case Latin letters \(X, Y, Z,\)... Common notation for a specific value from the domain (set of all possible values of a variable) are lower-case Latin letters \(x, y, z,\).... For example, if \(X\) is the number of children in a family, then \(x\) represents a specific integer 0, 1, 2, 3, .... Variables in statistics differ from variables in intermediate algebra in the two following ways. (1) The domain of the random variable (RV) is not necessarily a nu…
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/06%3A_Inference_Involving_a_Single_Population_Proportion/6.03%3A_Introduction_to_Hypothesis_Testing/6.3.01%3A_ExercisesThe alternative hypothesis is the mathematical representation of the claim: “You wonder if the proportion of US adults who are satisfied with the quality of the environment has decreased.” Write the a...The alternative hypothesis is the mathematical representation of the claim: “You wonder if the proportion of US adults who are satisfied with the quality of the environment has decreased.” Write the alternative hypothesis with one of the following options: \(p<\text{assumed value}\), \(p>\text{assumed value}\), or \(p\neq\text{assumed value}\) where the assumed value is given in the null hypothesis. (Fill in the blank with the appropriate inequality).
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/08%3A_Inference_Involving_Two_Population_Parameters/8.03%3A_Inference_for_a_Difference_in_Two_Population_MeansThe alternative will be one of the following \(H_a: \mu_1<\mu_2, H_a: \mu_1>\mu_2 \text {, or } H_a: \mu_1 \neq \mu_2\) based on the statement of the claim in the problem. The partners gave the memo f...The alternative will be one of the following \(H_a: \mu_1<\mu_2, H_a: \mu_1>\mu_2 \text {, or } H_a: \mu_1 \neq \mu_2\) based on the statement of the claim in the problem. The partners gave the memo from the white Thomas Meyer an average rating of 4.1 out of 5 with a standard deviation of 0.8, while they gave the memo from the black Thomas Meyer an average rating of 3.2 out of 5 and a standard deviation of 1.12.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/04%3A_Discrete_Probability_Distributions/4.02%3A_The_Geometric_DistributionWhat is the probability that we will roll a 5 (succeed) on the first attempt? What is the probability that we will roll a 5 (succeed) on the second attempt? What is the probability that we will roll a...What is the probability that we will roll a 5 (succeed) on the first attempt? What is the probability that we will roll a 5 (succeed) on the second attempt? What is the probability that we will roll a die and succeed (roll a 5) on the third attempt? What is the probability that we will roll a die and succeed (roll a 5) on the fourth attempt? The probability of hitting the bullseye is 17%. What is the probability that you hit the bullseye on the 7th attempt?
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/08%3A_Inference_Involving_Two_Population_ParametersEfbrazil, CC BY-SA 4.0 <https://creativecommons.org/licenses/by-sa/4.0>, via Wikimedia Commons
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Hannah_Seidler-Wright)/07%3A_Inference_Involving_a_Single_Population_Mean/7.03%3A_Estimating_a_Population_MeanThe conclusion should include the confidence level, the parameter that is being estimated, and the bounds of the interval with appropriate units. The following questions and animations will help you t...The conclusion should include the confidence level, the parameter that is being estimated, and the bounds of the interval with appropriate units. The following questions and animations will help you think about the relationship between sample size, the confidence level, the standard deviation and the margin of error.
- https://stats.libretexts.org/Workbench/ADAPT_Statistics_book/02%3A_Descriptive_Statistics/2.04%3A_Quantifying_Variability_Relative_to_the_Mean/2.4.01%3A_ExercisesDecide which measure of spread (standard deviation or IQR) would be best to use to compare the variation in the rainfall of CA and UT. Below is Bruno’s calculation of the sample standard deviation for...Decide which measure of spread (standard deviation or IQR) would be best to use to compare the variation in the rainfall of CA and UT. Below is Bruno’s calculation of the sample standard deviation for a sample of five pro basketball players by hand. Use desmos to compute the mean and sample standard deviation for the miles per gallon. Round the mean to one decimal place and the sample standard deviation to two decimal places.
