You can retry this question belowThe mean number of English courses taken in a two-year time period by male and female collegestudents is believed to be about the same. An experiment is conducted and data are collected from26 males and 20 females. The males took an average of 3.7 English courses with a standarddeviation of 0.3. The females took an average of 3.6 English courses with a standard deviation of 0.6.Conduct a hypothesis test at the 1% level of significance to determine whether the means arestatistically the same.Step 1: State the null and alternative hypotheses.Ho:[1 – [2 =v VoHa: ₁₂0(So we will be performing a two-tailedThe differences of sample means are t-distributedand distribution standard deviation 10.3Question Help: Post to forumPart 2 of 4Step 2: Assuming the null hypothesis is true, determine the features of the distribution of thedifferences of sample means.Submit Part$4test.)%5Search or type URL✔with distribution mean 06MacBook ProPart 1 of 47✓8

Given that, An experiment is conducted and data are collected from 26 males and 20 females. The…

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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 amount of time it takes students to travel to school can vary greatly depending on how far a student lives from the school and what mode of transportation they take to school. A student claims that the average travel time to school for his large district is 20 minutes. To further investigate this claim, he selects a random sample of 50 students from the school and finds that their mean travel time is 22.4 minutes with a standard deviation of 5.9 minutes. He would like to conduct a significance test to determine if there is convincing evidence that the true mean travel time for all students who attend this school is greater than 20 minutes. What are the appropriate hypotheses? A) H0: μ = 20 versus Ha: μ < 20, where μ = the true mean travel time for all students who attend this school B) H0: μ = 20 versus Ha: μ > 20, where μ = the true mean travel time for all students who attend this school C) H0: μ = 20 versus Ha: μ < 20, where μ = the mean travel time for the 50…
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 9 nursing students from Group 1 resulted in a mean score of 65 with a standard deviation of 6.2. A random sample of 7 nursing students from Group 2 resulted in a mean score of 74.2 with a standard deviation of 8.9. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let uj represent the mean score for Group 1 and uz represent the mean score for Group 2. Use a significance level of a = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 4: State the null and alternative…
You are interested in comparing Ezekiel Elliott’s performance last season to this season. In particular you look at the average number of rushing yards per game. He played in 15 games last year and averaged 108.73 yards per game with a sample standard deviation of 30.95 yards. This year, he has played in 7 games so far and averaged 98.57 yards per game with a sample standard deviation of 48.40 yards. (a) Determine at the 5% significance level if his performance this year when it comes to average number of rushing yards per game is significantly different than last year. (b) Find a 95% confidence interval for the difference in the average number of rushing yards per game from last year to this year.
A sample of seven laptop computers had a variance of 25.88 years when the lifespan of the computer was studied. Find the 90% confidence interval for the true variance of the lifespan of laptop computers. Show all work leading up to your answer below
An economist was curious if the mean yearly amount of seafood consumed in Sweden is significantly different than the mean yearly consumption in the United States. They randomly selected 125 citizens in Sweden and determined their sample mean is 12 kg with a standard deviation of 5.2 kg. The 140 randomly selected U.S. citizens had a sample mean of 9.7 kg with a standard deviation of 5.8 kg. Is this sufficient evidence to say that the mean consumption is different? Which are the correct hypothesis statements for this situation? Hoμs Hus HAμs=Pus H。 ¦ µ¸ = Pus HAμs Hus Hoµs=Pus HAHs>Hus Hop=0.10 ΗΑ : μ > 0. 10
The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 24 males and 26 females. The males took an average of 4.2 English courses with a standard deviation of 1.1. The females took an average of 3.9 English courses with a standard deviation of 0.7. Conduct a hypothesis test at the 4% level of significance to determine whether the means are statistically the same. Step 1: State the null and alternative hypotheses. Ho: H1 = V H.: H1 – µ2 # v test.) (So we will be performing a two-tailed
Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. The researchers randomly sampled 93 males and 107 females in their country. The mean and standard deviation of the spleen lengths for the males were 10.8 cm and 0.9 cm, respectively, and those for the females were 10.2 cm and 0.7 cm, respectively. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean spleen lengths of males and females in the country? Click here to view page 1 of the table of critical values of t. Click here to view page 2 of the table of critical values of t. O E. Ho: H1 H₂ Hai Hg = H2 Compute the test statistic. =(Round to two decimal places as needed.) Determine the critical value(s). t= OF. Ho: H1 H₂ Ha: H1 H₂ 0 (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion of the…
A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 18 floors of WaxWin and 10 of WaxCo. WaxWin had a mean lifetime of 22.1 with a standard deviation of 5.6 and WaxCo had a mean lifetime of 28.5 with a standard deviation of 7.1. 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: H1 µ2(claim) O Ho: µ1 2 H2 HA: H1 < µ2(claim) O Ho: µ1 = µ2 HA: H1 7 M2(claim) Since the level of significance is 0.05 the critical value is -1.751 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 less than the mean of WaxCo. O There is not enough evidence to reject the claim that the mean of…
For a random sample of 47 high school seniors in the United States in 2019, the average of typical sleep time on a school night is 6.8 hours with a standard deviation of 1.2 hours. (Source: Data are downloaded from U.S. Census at School a) We want to test if the mean sleep time on a school night for all high school seniors in the United States is less than 7 hours. State the hypotheses of a one-sided significance test. b) ) Calculate the test statistic. I Show how to make a c) conclusion for this test, using the significance level 0.05. d) ) If your conclusion in part c) were in error, what type of error would it be? e) ) Construct a 95% confidence interval for the population mean sleep time on a school night for all high school seniors in the United States.
On the Stanford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 92 and a standard deviation of 6.92. What is the standard error of the 90% confidence interval of the average IQ of the kindergarten pupils?
1) 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. a) Test the hypothesis, at the 5% level of significance, that there is a difference in the mean weight loss of using the 2 different diets. b) What is the p-value?
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 3939 type K batteries and a sample of 5757 type Q batteries. The mean voltage is measured as 8.558.55 for the type K batteries with a standard deviation of 0.6830.683, and the mean voltage is 8.828.82 for type Q batteries with a standard deviation of 0.7910.791. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let μ1μ1 be the true mean voltage for type K batteries and μ2μ2 be the true mean voltage for type Q batteries. Use a 0.020.02 level of significance. Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to two decimal places

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