Hypothesis Testing for the Standard Deviation
Hypothesis testing for the standard deviation is a crucial statistical procedure employed to make inferences about population variability based on sample data. In various fields such as science, finance, and social sciences, understanding the reliability and significance of differences in standard deviations is essential for decision-making and hypothesis evaluation. By rigorously analyzing sample data against specified hypotheses, researchers can determine whether observed variations in standard deviation are due to chance or indicative of true population differences. This methodological approach plays a pivotal role in advancing knowledge and guiding practical applications across diverse domains reliant on robust statistical inference.
Questions
- If the mean time between in-flight aircraft engine shutdowns is 12500 operating hours, the 90th percentile of waiting times to the next shutdown will be?
- H0: μ = 100 H1: μ ≠ 100 σ = 10,𝑛 = 100,𝑥̅ = 100,𝛼 = 0.05 Calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution. How?
- Men ages(20-29) have meanheight 69.3 with s.dev of 2.5 in. An analyst wonders if sd of majorleague players less than 2.5 in. Heights of 20 random players are:72, 74, 71, 72,76,70,77,75,72,72,77,73,75,70,73,74,75,73,74,73. Can you help me find the P value?
- A machine is programmed to put 737g of salts in each container that passes underneath its nozzle.In order to test Hnull:#mu#=737 vs Ha:#mu#>737, a sample of 100 boxes of salt is selected.How large must the sample mean be before the Hnull can be rejected?
- What causes the null hypothesis to be rejected in an F-test?
- If a group of data has a mean of 9 and a standard deviation of 2.5, what is the interval that should contain at least 93.8% of the data?
- To one decimal place, what percentage of the area under the normal curve lies between #+-# 2 standard deviations of #mu#?
- If mean profits of an SME (small or medium enterprise) is #£46,000# and standard deviation is #£19,000#, what is the probability that a specific SME has profit between #£44,000# and #£48,000#?
- How to do this hypothesis testing question?
- How to do this hypothesis testing question?
- How to establish a 95% and 97.5% confidence interval for the average heights of the female and male students? How to do the same for the students population regardless of the Gender. How to compare?
- what is the minimum sample needed if he wants to be 99% confident that the true average time is within 15 minutes of the sample average? Assume the standard deviation of all times is 30 minutes.
- The scenario may be considered which of the following?
- Are population means score in statistics different between 2006 and 2016 students? ( Help ) (Stats)
- How can i find t (candle factory statistics question - a bit difficult, need it to prepare for an exam)?
- If a sample size is sufficiently large, should the mean and median significantly differ?
- Normal probability Distribution question from a small sample?
- Why is important to perform a hypothesis test about a standard deviation?
- What are the two conditions that must be met when performing a hypothesis test about the standard deviation?
- What test can be used to determine if two samples have similar variances?