A parenting magazine reports that the average amount of wireless data used by teenagers each month is 10 Gb. For her science fair project, Ella sets out to prove themagazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 16 teenagers ather high school, and calculates a mean of 9.1 Gb per month with a standard deviation of 1.3 Gb per month. Assume that the population distribution is approximatelynormal. Test Ella's claim at the 0.05 level of significance.Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.Ho : a = 10Ha:μ10

The objective of this question is to test Ella's claim that the average amount of wireless data used…

Answered: A parenting magazine reports that 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 parenting magazine reports that the average amount of wireless data used by teenagers each month is 6Gb6⁢Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 44 teenagers at her high school, and calculates a mean of 5.3Gb5.3⁢Gb per month with a standard deviation of 0.6Gb0.6⁢Gb per month. Assume that the population distribution is approximately normal. Test Ella’s claim at the 0.100.10 level of significance.
John has two jobs. For daytime work at a jewelry store he is paid $15,000 per month, plus a commission. His monthly commission is normally distributed with mean $10,000 and standard deviation $2000. At night he works occasionally as a waiter, for which his monthly income is normally distributed with mean $1,000 and standard deviation $300. John's income levels from these two sources are independent of each other. John's commission from the jewelry store will be between what two values symmetrically distributed around the population mean 80% of the time? a.$8460.18 and $11540.88 b.$5211.90 and $15181.10 c.$7736.20 and $12363.80 d.$7436.90 and $12563.10 e.$7172.20 and $12198.80
A group of university students is exploring the connection between study hours and academic performance. They gather data on weekly study hours and corresponding GPAs. The study hours range from 5 to 40 per week, and GPAs vary between 2.0 and 4.0. The students aim to find a mathematical relationship that can predict GPA based on study hours. They calculate summary statistics such as the mean and standard deviation for study hours and GPA. The data showed that the average study hours might be 20, with a standard deviation of 10, and the average GPA might be 3.0, with a standard deviation of 0.5. They also calculate the correlation between study hours and GPA to measure the strength of the linear relationship to be 0.65. This analysis could provide valuable insights for students looking to optimize their study habits and improve their academic performance. However, it’s important to remember that correlation does not imply causation, and other factors may also influence a student’s GPA.…
A marketing firm asked a random sample of people from a population how much they spend annually on oral hygiene products. The marketing firm then asked many other random samples of people from the same population the same question. The mean amount of each sample was computed, and then the mean of all the sample means was found to be $162.35. The standard deviation of all the sample means, or the standard error of the mean, was found to be $23.78. At a 95% confidence level, which values fall within the margin of error for the amount a person from the population spends annually on oral hygiene products? Select all that apply. $128.30 $203.36 $112.73 $206.04 $107.88 $189.85 $210.92 $101.17
In one town, the number of pounds of leafy greens consumed per person per year has a mean of 10 pounds and a standard deviation of 2.6 pounds. Tyler consumed 24 pounds of leafy greens last year. How many standard deviations from the mean is that? a. 5.38 standard deviations below the mean b. 2.33 standard deviations above the mean c. 2.33 standard deviations below the mean d. 5.38 standard deviations above the mean 2. Sue is interested in how many hours U.S. Senators sleep each night. She sends a survey to which all senators respond. Sues’ resulting standard deviation would be denoted as: a. s because she has obtained a population b. s because she has obtained a sample c. s2 because she has obtained a population d. σ because she has obtained a population e. σ because she has obtained a sample f. s2 because she has obtained a sample 3. Determine which of the four levels of measurement is most appropriate for the…
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A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 33 floors of WaxWin and 37 of WaxCo. WaxWin had a mean lifetime of 28.5 and WaxCo had a mean lifetime of 29.7. The population standard deviation for WaxWin is assumed to be 5.6 and the population standard deviation for WaxCo is assumed to be 6.6.
A parenting magazine reports that the average amount of wireless data used by teenagers each month is 10 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the mean among teenagers in her area is less than reported. Ella collects information from a simple random sample of 4 teenagers at her high school, and calculates a mean of 8.4 Gb per month with a standard deviation of 2.2 Gb per month. Assume that the population distribution is approximately normal. Test Ella's claim at the 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Η :μ H₂H = 10 10
Suppose the mean GPA of BYU-Idaho students is 3.5 and the standard deviation is 0.7. It is well known that this distribution is left-skewed. Use this information to answer questions 9 and 10. 9. If you take a random sample of 81 BYU-Idaho students, what is the distribution of sample means of these GPA's? Give the shape, the mean, and the standard deviation. Normal, with mean 3.5 and standard deviation 0.078
You may need to use the appropriate appendix table or technology to answer this question. The United States ranks ninth in the world in per capita chocolate consumption; Forbes reports that the average American eats 9.5 pounds of chocolate annually. Suppose you are curious whether chocolate consumption is higher in Hershey, Pennsylvania, the location of the Hershey Company's corporate headquarters. A sample of 35 individuals from the Hershey area showed a sample mean annual consumption of 10.05 pounds and a standard deviation of s = 1.5 pounds. Using ? = 0.05, do the sample results support the conclusion that mean annual consumption of chocolate is higher in Hershey than it is throughout the United States? State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =
If the weekly grocery expenditure of households in a certain urban market is known to be normally distributed with a mean of $150 and a standard deviation of $30, what proportion of the households spend between $110 and $160 per week on groceries?
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 7676 and a standard deviation of 77. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D.

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