Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects the height of a child. The researchers randomly selected 9 vegetarianchildren that were six years old. The average height of the children is 42.5 inches with a standard deviation of 3.1 inches. The average height for all six-year-old childrenis 44.75 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at a = = 0.02 that six-year-old vegetarian children are not the sameheight as other six-year-old children. Assume the population is normally distributed.Step 1 of 2: Calculate a confidence interval for the average height of six-year-old vegetarian children. Round your answers to two decimal places.AnswerTablesKeypadKeyboard ShortcutsIfIfM

given data sample size (n) = 9sample mean ( x¯ ) = 42.5sample standard deviation (s) =3.1α = 0.02CL…

Answered: Researchers studying the effects of…

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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The principal at a large high school claims that students spend at least 10 hours per week doing homework, on average. To investigate this claim, an AP Statistics class selected a random sample of 250 students from their school and asked them how long they spent doing homework during the last week. The sample mean was 10.2 hours and the sample standard deviation was 4.2 hours. Construct and interpret a 95% confidence interval for the mean time that students at this school spent doing homework in the last week. Based on your interval, what can you conclude about the principal's claim? What is your t* value? Remember to use the conservative DF value.
A marketing study with a random sample of 400 results in 160 subjects reacting positively to the proposed product. Determine the 95% confidence interval for the population proportion.
A learn-to-type software program claims that it can improve your typing skills. To test the claim and possibly help yourself out, you and eight of your friends decide to try the program and see what happens. Use the table below to construct an 85%85% confidence interval for the true mean change in the typing speeds for people who have completed the typing program. Let Population 1 be the typing speed before taking the program and Population 2 be the typing speed after taking the program. Round the endpoints of the interval to one decimal place, if necessary. Typing Speeds (in Words per Minute) Before After 42 33 41 54 31 50 30 48 41 31 49 52 34 54 48 49 39 48
You measure 33 textbooks' weights, and find they have a mean weight of 62 ounces. Assume the population standard deviation is 4.6 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight
In a study of the use of hypnosis to relieve pain, sensory ratings were measured for 8 subjects and the mean sensory ratings was found to be 2.8 and standard deviation to be 0.3. The sensory ratings are normally distributed. The 80% confidence interval for the mean sensory ratings of the population is (9.35,11.65) b. (3.58, 4.64) (2.65, 2.95) d. (3.09, 3.91) (6.27, 8.73) a. C. e.
a group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. what is the 90% confidence interval for the mean score, u, of all students taking the test?
Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the study. Sex N Mean Standard deviation Males 59 2.91 1.46 Females 60 7.42 2.48 How different are male and female zebra finches in bill color? The margin of error for a 95% confidence interval for the difference in mean bill color μF – μM (in hue degree) is
A random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?
A learn-to-type software program claims that it can improve your typing skills. To test the claim and possibly help yourself out, you and six of your friends decide to try the program and see what happens. Use the table below to construct an 80% confidence interval for the true mean change in the typing speeds for people who have completed the typing program. Let Population 1 be the typing speed before taking the program and Population 2 be the typing speed after taking the program. Round the endpoints of the interval to one decimal place, if necessary. Typing Speeds (in Words per Minute) Before After 32 33 51 42 55 40 35 32 54 33 45 30 50 52
In September a biological research team caught, weighed, and released a random sample of 24 chipmunks in Rocky Mountain National Park. The mean of the sample weights was x-bar = 8.7 oz. with sample standard deviation s = 1.4 oz. Find a 90% confidence interval for the mean September weight of all chipmunks in Rocky Mountain National Park.
From a random sample of 48 days in a recent year, U.S. gasoline prices had a mean of $2.34 and a standard deviation of $0.32. Construct a 95% confidence interval for the population mean

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