A simple random sample of size n is drawn. The sample mean, x, is found tobe 18.9, and the sample standard deviation, s, is found to be 4.1.Click the icon to view the table of areas under the t-distribution.(a) Construct a 95% confidence interval about if the sample size, n, is 35.Lower bound:; Upper bound:(Use ascending order. Round to two decimal places as needed.)

Answered: A simple random sample of size n is…

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 random sample of 82 women showed that the mean number of children reported was 1.87 with a standard deviation of 1.7 . (Interestingly, a sample of 82 men showed a mean of 1.3 children.) Complete parts (a) through (c) below. LOADING... Click the icon to view the t-table. Question content area bottom Part 1 a. Find a 95% confidence interval for the population mean number of children for women. Because the sample size is so large, you can use 1.96 for the critical value of t (which is the same as the critical value of z) if you do the calculations manually. Choose the correct answer below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.)
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A sample of 19 Math SAT scores for women was collected. The mean score for the sample was 496 and the sample standard deviation was 115. Find the 95% confidence interval for the population mean µ. Assume the population has a normal distribution. Confidence Interval: ( Enter numbers correct to one unit.
Suppose you take a random sample of n = 80 Douglas College students and ask each student their age. You find that the mean age of students in this sample is X = 22.0375 years and the sample standard deviation is s = 3.2014 years. Fill in the blanks (rounding to four decimal places): The 95% confidence interval for the mean age μ of all Douglas College students is from ______ years to ______ years.
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their school
The distribution of study times for first year students follows a Normal distribution with standard deviation σσ = 54 minutes. Suppose a sample of 487 students found that the mean study time for these students was x¯x¯= 173 minutes per week. Use this to find a 88.28% confidence interval to estimate the mean study time for all students. We are 88.28% confident that the mean study time for first year students is between minutes_____ and ____ minutes. What is the margin of error for your confidence interval?
The distribution of study times for first-year students follow a Normal distribution with a standard deviation σ = 48 minutes. Suppose a sample of 344 students found that the mean study time for these students was x¯= 170 minutes per week. Use this to find a 94.38% confidence interval to estimate the mean study time for all students. We are 94.38% confident that the mean study time for first-year students is between the following ( answer) minutes and ( answer) minutes. The answer needs to be the mean study time for first-year students is between what amount of minutes and the following minutes.
A poll was conducted that asked 1010 people how many books they had read in the past year. Results indicated that x= 10.5 books and s= 16.6 books. Construct a 99% confidence interval for the mean number of books people read. Click the icon to view the table of areas under the t-distribution. Construct a 99% confidence interval for the mean number of books people read. (Use ascending order. Round to two decimal places as needed.)
In order to estimate the average amount a customer spends on a meal in a major restaurant, data was collected from a sample of 30 customers. Suppose the population standard deviation is $3 . If the sample mean is $22, what is the 95% confidence interval for the population mean? Select one: a. [20.93 , 23.07] b. [20.59 , 23.41] c. [21.99 , 22.01] d. [20.95 , 23.05]
Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96
A poll was conducted that asked 1015 people how many books they had read in the past year. Results indicated that x= 14.3 books and s= 16.6 books. Construct a 90% confidence interval for the mean number of books people read. E Click the icon to view the table of areas under the t-distribution, Construct a 90% confidence interval for the mean number of books people read. ) (Use ascending order. Round to two decimal places as needed.)

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