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 (μ) 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:ên p σ΄ UN Td μD = vpО µÑ¯ Êµ¯Ñ¿© µDHa: pOād up μιên #PO μN X dThis test is two-tailed.What is the test statistic?HDênPart 2 of 4

Given information: For Night: The sample size is nN=25. The sample mean is x¯N=2.86. The sample…

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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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.
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…
In a random sample of 8 cell phones, the mean full retail price was $549.30 and the standard deviation was $182.00. Further research suggests that the population mean is $425.14. Does the t-value for the original sample fall between - to 95 and to 95? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t = fall between - to 95 and to 95 because to 95 (Round to two decima d.) does not does
A researcher claimed that for people that smoke cigarettes, the average number of cigarettes smoked per day is greater than 9. To test her claim, she selected a random sample of 36 smokers and found the mean number of cigarettes smoked per day was 10. The standard deviation of the population is 2.5 cigarettes. At a = 0.05, conduct all steps of a hypothesis test to test the researcher's claim.
In a random sample of 7 cell phones, the mean full retail price was $537.40 and the standard deviation was $188.00. Further research suggests that the population mean is $429.39. Does the t-value for the original sample fall between - to 95 and to g5? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t = fall between - to 95 and to 95 because to 95 (Round to two decimal places as needed.)
A psychologist is studying smokers self images, which she measures by the self image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 140. The psychologist gathers a random sample of 17 SI scores of smokers and finds that their mean is 164 and their standard deviation is 38. Assume that the population of SI scores of smokers is normally distributed with mean μ. Based on the sample, can the psychologist conclude that μ is different from 140? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. A random sample of 19 bottles of regular cola has a mean of 502.4 mL of soda with a standard deviation of 3.9 mL. A random sample of 11 bottles of diet cola has a mean of 499.6 mL of soda with a standard deviation of 4.7 mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a 0.10 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to fill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision.
A study was conducted to determine if there is a difference in average reading speed between students in grade 4 and grade 5. The null hypothesis is that the means are equal, and the alternative hypothesis is that the means are not equal. A sample of 25 grade 4 students had an average reading speed of 300 words per minute with a standard deviation of 40. A sample of 30 grade 5 students had an average reading speed of 325 words per minute with a standard deviation of 35. What is the t-score and p-value for this hypothesis test?
A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 150. The psychologist gathers a random sample of 16 SI scores of smokers and finds that their mean is 130 and their standard deviation is 31. Assume that the population of SI scores of smokers is normally distributed with mean μ. Based on the sample, can the psychologist conclude that μ is different from 150? Use the 0.05 level of significance. Perform a two-tailed test. Then fill in the table attached. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

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