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Home Question Bank Math Statistics Archive 2024 November 23

Statistics Questions from Nov 23,2024

Browse the Statistics Q&A Archive for Nov 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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You wish to test the following claim at a significance level of . You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size with mean and a standard deviation of . What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) greater than This p-value leads to a decision to... reject the null accept the null fail to reject the null According to a survey, of residents of a country 25 years old or older had earned at least a bachelor's degree. You are performing a study and would like at least 10 : people in the study to have earned at least a bachelor's degree. (a) How many residents of the country 25 years old or older do you expect to randomly select? (b) How many residents of the country 25 years old or older do you have to randomly select to have a probability 0.994 that the sample contains at least 10 who have earned at least a bachelor's degree? (a) The number of randomly selected residents is You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.48 . You use a significance level of . You obtain a sample of size in which there are 88 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... less than (or equal to) greater than This p-value leads to a decision to... reject the null accept the null fail to reject the null Describe how the value of affects the shape of the binomial probability histogram. Choose the correct answer below. A. As increases, the binomial distribution becomes more bell shaped. 0 of 1 B. As decreases, the binomial distribution becomes more bell shaped. D. As n decreases, the binomial distribution becomes skewed left. E. The value of does not affect the shape of the binomial probability histogram Test the claim that the proportion of people who own cats is significantly different than at the 0.02 significance level. The null and alternative hypothesis would be: The test is: left-tailed two-tailed right-tailed Based on a sample of 700 people, owned cats (to 2 The p-value is: decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis The national average SAT score is roughly 1500 . We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. duke The national average SAT score is roughly 1500 . We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. If your claim is in the null hypothesis and you fail to reject the null hypothesis, then your conclusion would be: There is not sufficient evidence to warrant rejection of the original claim There is sufficient evidence to warrant rejection of the original claim There is not sufficient sample evidence to support the original claim The sample data support the original claim Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses. : the food is safe : the food is not safe The following is an example of what type of error? The sample suggests that the food is safe, but it actually is not safe. type I type II A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. A local government office in a rural area conducts a study to determine if elementary schoolers in their district have a longer average one-way commute time. If they determine that the average commute time of students in their district is significantly higher than the commonly cited standard they will invest in increasing the number of school busses to help shorten commute time. What would a Type 2 error mean in this context? The local government decides that the average commute time is 30 minutes. The local government decides that the data provide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact 30 minutes. The local government decides that the data do not provide convincing evidence of an average commute time higher than 30 minutes, when not provide convincing evidence of an average commute time different than 30 minutes, when the true average commute time is in fact 30 minutes. the minutes.
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