The botanist would like to estimate the average weight of mustard seeds grown in a certain type ofsoil; weight of the seeds is known to follow a normal distribution. The botanist collects a randomsample of 10 mustard seeds and finds that the sample average and sample standard deviation are453 mg and 93 mg respectively. Select from the following the correct 90% confidence interval forthe true average weight of mustard seeds grown in Soil Type A using the above sample data.a. (399.1, 506.9)O b. (404.6, 501.4)O c. (467.4, 478.6)O d. The necessary assumptions have not been satisfied and the calculation cannot be performed.O e. (412.3, 493.7)O f. (413.3, 492.7)

It is given that Sample size n = 10 Sample mean M = 453 Sample SD s = 93 The critical value of t at…

Answered: The botanist would like to estimate the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher collected sample data for 14 women ages 18 to 24. The sample had a mean serum cholesterol level (measured in mg/100 mt) of 193, with a standard deviation of 7.5. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 90% confidence interval for the man serum cholesterol level of all women in this age group. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decamal places. Round your answers to one deomal place.
The burning rates of two different solid-fuel propellants used in aircrew escape systems are being studied. It is known that both propellants have approximately the same standard deviation of burning rate; that is, a₁ = ₂ =3 cm/s. From a random sample of size n₁ = 20 and n₂ = 20, we obtain₁ = 18.02 cm/s and ₂ = 24.31 cm/s. Construct a 95% confidence interval on the difference in means μ₁ - 1₂. Round your answers to 3 decimal places (e.g. 98.765). What is the upper bound of the two-sided confidence interval?
Age Differences In a large hospital, a nursing director selected a random sample of 43 registered nurses and found that the mean of their ages was 31.5. The population standard deviation for the ages is 4.5. She selected a random sample of 32 nursing assistants and found the mean of their ages was 29.7. The population standard deviation of the ages for the assistants is 5.3. Find the 95% confidence interval of the differences in the ages. Use μ1 for the mean age of the nursing assistants. Round the answers to at least one decimal place. Use a TI-83 Plus/TI-84 Plus calculator. ? < μ1- μ2 < ?
#21)
Your company sources motors from two suppliers: supplier A and supplier B. Your application requiresvery high maximum torque. You wish to know if there is a significant difference in maximum torque forthe motors from supplier A vs. supplier B. You sample 10 motors from each supplier and measure themaximum torque. The sample means and sample standard deviations are shown the following table. Is there evidence to conclude that one supplier is better than the other at a 95% confidence level?
In a random sample of twelvetwelve people, the mean driving distance to work was 24.624.6 miles and the standard deviation was 4.54.5 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 9999% confidence interval for the population mean muμ. Interpret the results.
In a random sample of 19 people, the mean commute time to work was 33.6 minutes and the standard deviation was 703 minutes. Assume the population is normally distributed and use a t- distribution construct a 80% confidence interval for the population mean u. What is the margin error of u? Interpret the results.
The sample mean and standard deviation for weights of 100 boxes are 12.05g and 0.1g respectively. Find a 90% confidence interval for the mean weight of the boxes.
The nutrition label for Oriental Spice Sauce states that one package of sauce has 1160 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 90 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1119.61 milligrams of sodium per package with a sample standard deviation of 272.37 milligrams. Step 1 of 2 : Calculate a 95% confidence interval for the mean sodium content in Oriental Spice Sauce. Round your answers to two decimal places.
One method for measuring air pollution is to measure the concentration of carbon monoxide, or CO, in the air. Suppose Nina, an environmental scientist, wishes to estimate the CO concentration in Zagreb, Croatia. She randomly selects 45 locations throughout the city measures the CO concentration at each location. Based on her 45 samples, she computes the margin of error for a 95% t-confidence interval for the mean concentration of CO in Zagreb, in µg/m³, to be 4.28. What would happen to the margin of error if Nina decreases the confidence level to 90%? Nina increases the confidence level to 99%? Nina decreases the sample size to 33 locations? Nina increases the sample size to 65 locations? Answer Bank Increase Stay the same Decrease
A quality control specialist for a restaurant chain takes a random sample of size 15 to check the amount of soda served in the 16 oz. serving size. The sample mean is 13.10 with a sample standard deviation of 1.57. Assume the underlying population is normally distributed. We wish to construct a 95% confidence interval for the true population mean for the amount of soda served.What is the error bound?

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