A parenting magazine reports that the average amount of wireless data used by teenagers each month is11 Gb. For her science fair project, Ella sets out to prove the magazine wrong. She claims that the meanamong teenagers in her area is less than reported. Ella collects information from a simple randomsample of 4 teenagers at her high school, and calculates a mean of 9.2 Gb per month with a standarddeviation of 1.4 Gb per month. Assume that the population distribution is approximately normal. TestElla's claim at the 0.10 level of significance.Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

The objective of this question is to compute the value of the test statistic for Ella's claim that…

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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Can you please help me with part a and b.
A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class 1, the mean exam score for 1717 students is 80.380.3 with a standard deviation of 1.61.6. In Class 2, the mean exam score for 1919 students is 82.182.1 with a standard deviation of 2.92.9. Test the professor’s claim at the 0.010.01 level of significance. Assume that both populations are approximately normal and that the population variances are equal. Let Class 1 be Population 1 and let Class 2 be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: μ1=μ2: μ1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯μ2H0: μ1=μ2Ha: μ100000000_μ2 Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places. 3) draw a conclusion and form a decision (word it like "we fail to reject the…
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.
A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby girls is approximately normally distributed. A study claimed that the mean of this population is 5.28 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 13 baby girls, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby girls in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Number of baby girls Sample mean Sample standard deviation Take Sample 13 5.656 1.939 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need…
The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds. Suppose that the standard deviation is 84 pounds. Suppose a Normal model is useful for describing weights of the yearling Angus steers. Which would be more unusual, a steer weighing 1000 pounds or one weighing 1250 pounds?
The variance of a population is 5. The size of the sample collected from a population is 225. What is the standard error of the mean?
A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby girls is approximately normally distributed. A study claimed that the mean of this population is 5.94 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 15 baby girls, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby girls in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: 10 Critical value: 0 Number of baby girls Compute 15 Enter the values of the sample size, the point estimate of the mean, the sample standard…
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 3 of 3: Draw a conclusion and interpret the decision. Answer Tables Keypad Keyboard Shortcuts We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the average amount of wireless data used by teenagers each month is less than 10 Gb. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the average amount of wireless…
A professor is concerned that the two sections of college algebra that he teaches are not performing at the same level. To test his claim, he looks at the mean exam score for a random sample of students from each of his classes. In Class 1, the mean exam score for 1515 students is 81.281.2 with a standard deviation of 3.43.4. In Class 2, the mean exam score for 1818 students is 83.883.8 with a standard deviation of 5.95.9. Test the professor’s claim at the 0.100.10 level of significance. Assume that both populations are approximately normal and that the population variances are equal. Let Class 1 be Population 1 and let Class 2 be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places.
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is greater than the mean of WaxCo. In a random sample of 40 floors of WaxWin and 43 of WaxCo. WaxWin had a mean lifetime of 26.3 and WaxCo had a mean lifetime of 28. The population standard deviation for WaxWin is assumed to be 7.1 and the population standard deviation for WaxCo is assumed to be 6.1. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2. The correct hypotheses are: O Ho: µ1 H2(claim) Ο H: μι μp HA: H1 < µ2(claim) O Ho: µ1 = 2 HA: μι μ (claim) Since the level of significance is 0.05 the critical value is 1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the mean of WaxWin is greater than the mean of WaxCo.…
A study compared the weight loss of people on a low-fat diet versus people on a low-carb diet. In a sample of 100 obese people on a low-fat diet the sample mean weight loss as 7.6 pounds with a standard deviation of 3.2 pounds. In another sample of 120 obese people on a low-carb diet the sample mean weight loss was 6.7 pounds with a standard deviation of 3.9 pounds. Write down all formulas and state the hypothesisa) Test the hypothesis, at the 5% level of significance, that there is a difference in the mean weightloss of using the 2 different diets. b) What is the p-value?

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