Thank you for visiting A chemical process converts lead to gold It is known that the process is normally distributed Suppose that a sample of tex n 15 tex. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final Answer:
A chemical process converts lead to gold. It is know that the process is normally distributed. Suppose that a sample of n=15 observations were collected, and the sample mean is 99.8 and sample standard deviation is 2.0. No, we cannot conclude that μ=100 g given α=0.05.
Explanation:
Hypothesis testing is a statistical method used to determine if a sample provides enough evidence to make a claim about a population parameter. In this case, the null hypothesis (H0) is that μ (population mean) equals 100 g, while the alternative hypothesis (H1) is that μ does not equal 100 g.
To test this, we perform a one-sample t-test. With a sample size (n) of 15, a sample mean of 99.8, and a sample standard deviation of 2.0, we calculate the t-statistic:
t = (99.8 - 100) / (2.0 / √15) ≈ -0.447
Using a significance level (α) of 0.05, and with 14 degrees of freedom (n-1), the critical t-value for a two-tailed test is approximately ±2.145.
Since our calculated t-statistic (-0.447) falls within the range of -2.145 to 2.145, we fail to reject the null hypothesis. This means we do not have enough evidence to conclude that μ is different from 100 g at the 0.05 significance level. In other words, we cannot say with confidence that the chemical process does not convert lead to gold with a mean of 100 g based on this sample data.
Learn more about Hypothesis testing
brainly.com/question/33445215
#SPJ11
Thank you for reading the article A chemical process converts lead to gold It is known that the process is normally distributed Suppose that a sample of tex n 15 tex. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
