A random sample of 25 night students was taken with a sample mean GPA of 2.86 and a standard deviationof 0.06. A random sample of 30 day students was taken with a sample mean GPA of 2.88 and a standarddeviation of 0.07. Test the claim that the mean GPA of night students (N) is different from the mean GPAof day students (μD) at a = 0.05.Assume that the data come from normal populations with unequal variances. Round your answers to threedecimal places, and round any interim calculations to four decimal places.Fill in the hypotheses below (click the circle to the left of the correct answer):Ho: OnUNO®OUD = vpμνοῇΟād UDHa: Op d HD UNÎn #vHD În p μ N T d OσThis test is two-tailed.σ²What is the test statistic?Hint: Make sure you are using the correct value for the standard error.-1.141Using your answer from the previous question, find the p-value.What is the positive critical value for this test?Part 2 of 4Part 3 of 4

We have given with usual notation as follows: For night students: n1=25 x¯1=2.86 s1=0.06 For day…

Answered: A random sample of 25 night students…

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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Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3400 grams and a standard deviation of 535 grams. If a 35-week gestation period baby weighs 3200 grams and a 40-week gestation period baby weighs 3700 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 40 weighs relatively more since its z-score, baby born in week 35. B. The baby born in week 35 weighs relatively more since its z-score, baby born in week 40. C. The baby born in week 40 weighs relatively more since its z-score, baby born in week 35. D. The baby born in week 35 weighs relatively more since its z-score,…
You have obtained the number of years of education from one random sample of 38 police officers from City A and the number of years of education from a second random sample of 30 police officers from City B. The average years of education for the sample from City A is 15 years with a standard deviation of 2 years. The average years of education for the sample from City B is 14 years with a standard deviation of 2.5 years. Is there a statistically significant difference between the education levels of police officers in City A and City B?What is the appropriate test for this case? 2 sample z-testChi-square test 2-sample t-test2 sample paired t-test Carry out the test. The test statistic = (round answer to two decimal places.)and the p-value is (round answer to 2 decimal places)There sufficient evidence at the 5% level to conclude that the education levels of police officers in City A and City B is significantly different.
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 425 grams. If a 35-week gestation period baby weighs 2850 grams and a 41-week gestation period baby weighs 3350 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period?
A recent study of 100 social workers in a southern state found that their mean salary was $23,000 with a standard deviation of $2100. A similar study of 95 social workers in a western state found that their mean salary was $34,200 with a standard deviation of$3200. Find the test statistic and critical value when the claim that the mean salaries of social workers in the western state is greater than that of social workers in the southern state. Use α = 0.05. Sample1: Social workers in a southern state, Sample2: Social workers in awestern state. a) Find the test statistic b) Find critical value
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have mean weight of 3400 grams and a standard deviation of 445 grams. If a 33-week gestation period baby weighs 2625 grams and a 41-week gestation period baby weighs 3225 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) OA. The baby born in week 33 weighs relatively less since its z-score, OB. The baby born in week 33 weighs relatively less since its z-score, OC. The baby born in week 41 weighs relatively less since its z-score, OD. The baby born in week 41 weighs relatively less since its z-score, is smaller than the z-score of is larger than the z-score of is…
O C. The baby born in week 41 weighs relatively less since its z-score, is larger than the z-score of for the baby born in week 32. O D. The baby born in week 32 weighs relatively less since its z-score, is smaller than the z-score of for the baby born in week 41.
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 440 grams. If a 35-week gestation period baby weighs 2775 grams and a 40-week gestation period baby weighs 3075 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 40 weighs relatively more since its z-score, is smaller than the z-score of for the baby born in week 35. B. The baby born in week 40 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 35. O C. The baby born in week 35 weighs relatively more since its z-score, is larger…
Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. Compute the Z-score for a boy with height of 150 cm and find the correct interpretations. a. Boy's height is 0.71 standard deviation lower the national average b. Boy's height is 1.71 standard deviation above the national average c. Boy's height is 1.71 standard deviation lower than the national average d. Boy's height is 2.71 standard deviation above the national average
It has been reported that the variance of the speeds of drivers on the Turnpike near Somerset, PA is 64 for all vehicles. A driver who was pulled over near Somerset on the pike feels that value is incorrect and conducts a 4. survey of speeds. He finds that the standard deviation of 50 vehicles is 10.5 mph. At a 0.05, is the driver correct? %3D
An insurance company wants to know if the average speed at which men drive cars is greater than that of women drivers. The company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 2.2 miles per hour. Another sample of 18 cars driven by women on the same highway gave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. Assume that the speeds at which all men and all women drive cars on this highway are both normally distributed with the same population standard deviation. Suppose you must test the hypothesis at 1% level of significance whether the mean speed of cars driven by all men drivers on this highway is greater than that of cars driven by all women drivers. The test statistic will be: a) 4.123 b) 5.501 c) -5.501 d) -4.123
In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6°F with a standard deviation of 0.72 °F. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 F. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the Zcrit?

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