Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed.Claim: H, 20; a= 0.05. Sample statistics: d= -2.2, s, =1.5, n= 14Identify the null hypothesis by writing its complement.COA. Ho: Ha #0H: Ho =0OB. Ho: Pa s0OC. Ho: Ha =0OD. Ho: Ha <0H: Hg 20VE. Ho: Hg 20OF. Ho Ha>0H: Hg <0The test statistic is t= - 5.49.(Round to two decimal places as needed.)The critical value(s) is(are) t, = - 1.77.(Round to two decimal places as needed. Use a comma to separate answers as needed.)Since the test statistic isV the rejection region,V the null hypothesis. ThereV statistically significant evidence to reject the claim.

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Answered: of sighihcance a. Assume the samples…

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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A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State H, and Ha. Choose the correct answer below. O A. Ho: P1 = P2 Hạ: P1 # P2 O B. Ho: P1 P2 Ha: P1 SP2 D. Ho: P1 sP2 F. Ho: P1 2 P2 Ha: P1 > P2 Ha: P1 1.96 ОС. z2 -1.64 D. z 1.64 E. z - 1.96 (c) Find the standardized test statistic.
The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). = 0 kg Ho: Ha H₁: Hd > 0 kg (Type integers or decimals. Do not round.) Identify the test statistic. t = 2.82 (Round to two decimal places as needed.) Identify the P-value. a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September…
Solve. Given independent random variables with means and standard deviations as shown, find the mean and standard deviation of the random variable X + Y. Round to two decimal places if necessary. Mean SD 41 8 Y 41 12 O A. µ= 82 and o = 14.422 O B. u = 82 and o = 9 O C. µ= 41 and o = 10 O D. µ=41 and o = 14,422 O E. µ= 82 and o = 20 Click to select your answer. MacBook Air FIO 20 F3 F7 esc 000 F4 FS
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. a= 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop Fry World Xy = $9.13 5 = $0.78 X2 = $8.50 S2= $0.68 n= 17 n =8 (a) Identify the claim and state Ho and H. Which is the correct claim below? O A. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." Oc. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." O D. "The mean amount…
Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H, 20; a = 0.05. Sample statistics: d= -2.2, s, = 1.5, n= 14 Identify the null hypothesis by writing its complement. O A Ho: Ha0 H: Ha =0 O B. Hg: Hg s0 OC. Ho: Ha =0 O D. Ho: Ha 0 H: Hg s0 The test statistic is t=. (Round to two decimal places as needed.)
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At a= 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop X, = $9.13 Fry World X2 = $8.50 5, = $0.78 52= $0.68 n= 17 n2 =8 (a) Identify the claim and state Ho and H. Which is the correct claim below? O A. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." B. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." Oc. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." O D. "The…
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
Violation of which assumption below for the two-factor ANVOA is not a cause for concern with large sample sizes? a. The populations from which the samples are selected must have equal variances. b. The populations from which the samples are selected must be normal. c. A violation of any assumption below would be a concern, even with large sample sizes. d. The observations within each sample must be independent.
A researcher studying air quality in a metropolitan city is interested in testing the claim that less than 20% of people smoke cigarettes to test this claim the researcher collects the following data on a sample of 700 adults and 110 of them smoke cigarettes the following is the data from the study. Sample size= 700 adults Alternative hypothesis= ha:p
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs. College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4 College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6 Construct a 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. (Note: x1=3.1125, x2=3.4385, s1=0.4357 s2=0.5485
The t test for the difference between the means of two independent populations assumes that the respective Seleccione una: O A. populations are approximately normal. В. sample sizes are equal. С. sample variances are equal. O D. all of the above
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure. a. The test statistic is (Round to two decimal places as needed.) b. The P-value is (Round to three decimal places as needed.)

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