The college of science at a particular university has 286 alum in a given year. Each of them are sent asurvey after they graduate, and 26 of them are returned. The survey asks many things, chiefly among themhow prepared they feel enterring the real world upon graduation. The results (on a scale of 1-10) show anaverage of 7.6 with a standard deviation of 2.2. Is there significant evidence to conclude that the scores ofthese recent graduates is different from 7 at the 0.01 significance level? Note that there's evidence thatthis distribution is symmetric.What are the hypotheses?Ho: µ < 7 vs H1:µ > 7H0:μ# Ίνs Η: μ =7Ho :µ = 7 vs H1 : µ #7Ho:µ < 7 vs H1 :µ 2 7What is probability statement for the p-value?P(Z > test statistic)P(T > test statistic)2P(Z test statistic)2P(T test statistic)None of the aboveIf the p-value were to be 0.001, state and justify your decision.Accept Ho because the p-value > a.Fail to reject Họ because the p-value < a.Accept Ho because the p-value < a.Reject Ho because the p-value < a.Fail to reject H, because the p-value > a.Reject Ho because the p-value > a. 2P(Z + test statistic)2P(T + test statistic)None of the aboveIf the p-value were to be 0.001, state and justify your decision.Accept Ho because the p-value > a.Fail to reject Họ because the p-value < a.Accept Ho because the p-value < a.Reject Ho because the p-value < a.Fail to reject H, because the p-value > a.Reject Ho because the p-value > a.conclude that the average response score of7.The correct conclusion is that werecent graduates isWhat level of concern do you have for the validity of your results?Valid -while the sample size is less than 30, the symmetry in the distribution means this isn't aconcernQuestionablethere is likely to be some nonresponse biasQuestionablethere is likely to be some response bias and n < 30Questionablethe sample size is less than 30Questionablethere is likely to be some nonresponse bias and n < 30Questionablethere is likely to be some response bias

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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 average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? v (So we will be performing a Select an answer test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v = P( ? ♥ ?…
A personal trainer states that the distribution of running times (in seconds) for a 100-meter dash is normally distributed with a mean of 0.12 seconds and a standard deviation equal to 0.04 seconds. She wishes to improve running time by incorporating a set of breathing exercises into the daily workout. She randomly assigns some players to the new regimen in order to compare them to players who continue to follow the old workout. After six weeks, she records the average running time of the two groups of players. a. In the original distribution, what percentage of the players on the team run the 100-meter dash faster than 0.16 seconds? b. Define the independent and dependent variables. c. The personal trainer believes that the new breathing exercises have a significant improvement on running times. State the null and alternative hypotheses.
Part 1 of 4 Victoria, an accomplished marathon runner, claims that the standard deviation for her time to run a 26.2 mile marathon is less than 17.5 minutes. To test her claim, Victoria looks up 11 of her race times (in minutes): 227.2, 233.3, 259.7, 265.8, 252.1, 228.8, 222.6, 202.9, 214.5, 237.2, 267.7 Perform a hypothesis test using a 9% level of significance to test Victoria's claim. Step 1: State the null and alternative hypotheses. 17.5 Ha:0
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 77 and 2 respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 74. Compute the trainee's z-score. O A. z = -0.94 OB. z = -1.50 O C., z = 0.94 O9 z = 1.50
Find the proportion of N.d. observations with a zz-score between z_1 =z1= -2.45 and z_2 =z2= 2.71. Give your answer to four decimal places.
Dr. Jill Biden has been teaching a seventh grade English composition class for many years. She has the feeling that over the past several years, the writing ability of students has changed. A national test of proficiency in composition was administered 5 years ago. The resulting distribution of scores was normally shaped, had a mean of 85 and a standard deviation of 10.9. In order to test his feeling, she gives her present class of 43 students the same proficiency test. The resulting mean is 80 and the standard deviation is 8.7. a. What is the alternative hypothesis? b. What is the null hypothesis? c. What is your conclusion, using an alpha of 0.05 (2 tailed). d. What type of error might you be making because of your conclusion in part c?
For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (c) Suppose the relative frequency distribution for the data is bell-shaped, then what percentage of days between 325 and 425 vehicles used the intersection ?
The college of science at a particular university has 322 alum in a given year. Each of them are sent a survey after they graduate, and 23 of them are returned. The survey asks many things, chiefly among them how prepared they feel enterring the real world upon graduation. The results (on a scale of 1-10) show an average of 8.9 with a standard deviation of 2.3. Is there significant evidence to conclude that the scores of these recent graduates is better than 8 at the 0.01 significance level? Note that there's evidence that this distribution is symmetric. What are the hypotheses? Ho : μ 8 Ho : μ 8 Ho μ = 8 vs H₁ : µ ‡ 8 : Ho : μ‡8 vs H₁ : µ = 8 What is probability statement for the p-value? 2P(T test statistic) 2P(Z #test statistic) O P(Z >test statistic) OP(T test statistic) None of the above If the p-value were to be 0.008, state and justify your decision. Reject Ho because the p-value a. Fail to reject Ho because the p-value > a. Accept Ho because the p-value a. Fail to reject Ho…
In an interesting series of tests by Wilson et. al. in Science 2014, participants were asked to sit alone with their thoughts for 15 minutes. Participants were able to have either no stimulation during this period or negative stimulation in the form of self-administered electric shock. The 18 men in the sample elected to shock themselves an average of 1.47 times with standard deviation 1.46 (not including one outlier who chocked himself 190 times). The 24 women in the study shocked themselves an average of 1 time with standard deviation 2.32 times. It is interesting to note that these participants all said they would pay not to receive the shock in an earlier portion of the study! Is there significant evidence that men have a harder time sitting alone with their thoughts (i.e. administered more shocks) than women? State the hypotheses for the test. Calculate the test statistic. Find and interpret the p-value.
Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 73 and2, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 66. Compute the trainee's z-score. O A. z= 0.88 O B. z= -3.50 O C. z= 3.5 O D. z= - 0.88 O Time Remaining: 01:26.44 Next 1-44 of 44 arch 耳人 81 F N. DELL
2. Ms. Palac, a sociologist, made a study on the age in years of a woman at the time of her first marriage. She randomly selected a sample of 24 and 21 married women from Village A and Village B, respectively. The following data are the mean and standard deviation for each group: Village A: x = 18.63 and s = 5.54 Village B: x = 24.90 and s = 5.54 Test the hypothesis that the women in Village A get married younger than women in Village B. Use 0.10 significance level. Step 1: Null and Alternative Hypothesis Ho: Ha: Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region Degrees of Freedom (df): Critical Region: Step 4: Compute the z or t value Computations: Step 5: Decide whether to accept or reject Ho Step 6: Conclusion
In a large clinical trial, 396,565 children were randomly assigned to two groups. The treatment group consisted of 199,919 children given a vaccine for a certain disease, and 30 of those children developed the disease. The other 196,646 children were given a placebo, and 105 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, P1, 91, n2. P2, 92. p, and q. Enter your answer in the answer box and then click Check Answer. Check Anwer Clear All 7 parts remaining MacBook Air क 19 * ES F7 吕0 F4 esc FI F2 $ % & delele %23 5 7 4 T Y Q W E tab つ F G S レン * 00 つエく0

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