When the degrees of freedom is large, the t distribution becomes?
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- In Normal Distribution, The curve is not symmetric about the Mean Select one: O True O FalseExplain why the t-distribution has less spread as the number of degrees of freedom increases.For a t-distribution with 13 degrees of freedom, what is the probability that a t-score will be greater than 1.771? O A. 0.025 O B. 0.075 O C. 0.062 O D.0.1 O E. 0.05
- Use the three distributions labeled i,ii,iii to answer the following questions (shown in picture upload)Plz complete solution. A local fast-food restaurant has a soda dispensing machine that employees use to automatically fill large soft drink cups. The dispenser is preset to dispense 18 ounces of fluid each time with a standard deviation of 0.75 ounces. The dispensing follows a normal distribution. Use this data to solve What is the probability that a cup will contain 16.5 ounces or more? What is the probability that a cup will contain 16.5 ounces or less? What is the probability that a cup will contain between 15.75 and 18.4 ounces? What is the probability that a cup will contain between 18.0 and 18.3 ounces? What is the probability that a cup will contain between 15.35 and 18.85 ounces? How many ounces would the lowest 4 percent of cups contain? 21. What is your best guess at the number of ounces a cup would contain?Please tell me which of the multiple choice are correct A t-value of 2.35, from a t-distribution with 14 degrees of freedom, has an upper-tail (“greater than”) probability between which two values on the t-table?Select one:a. 2.15 and 2.26b. 0.29 and 0.82c. 0.025 and 0.01
- A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.5; 2.8; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. 1.Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.) 2. Construct a 95% confidence interval for the population mean length of time. (i) State the confidence interval. (Round your answers to two decimal places.) ( , ) (iii) Calculate the error bound. (Round your answer to two decimal places.)Which of the following distributions would be most likely to have a tail, and why? A. The GPAs of NMSU students, because some students have a 4.0. B. Class scores on a quiz, with 10 points possible, because the most common scores are 7, 8, and 9. C. The time it takes to install a new piece of computer software, because usually it’s quick, but occasionally it takes hours or even days. D. The amount of money you spend each month on food, because food prices change a little from day to day, and sometimes things are on sale.Parts a, b, and d and explian how it was done. DON'T USE EXCEL, please do the work manually if you can
- B. Explain the following: 1. What is a t-distribution? 2. When is a z-test and the t-test used?What is the difference between the t and z distributions? Which is used more in biological research? Explain your anwser.A snack company makes packages of grapes and honeydew slices. The weight of an individual package of grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91 ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random variables. Let D = G – H. What is the probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices? 0.127 0.230 0.284 0.334