Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.) H0: µ1 ≤ µ2 HA: µ1 > µ2 The sample means for the two populations are shown as follows: sample mean 1 = 144,  sample mean 2 = 129 population standard deviation 1 = 11,  population standard deviation 2 = 16 sample size 1 = 40, sample size 2 = 50 Answer:  Decision Rule : Reject H0 if  Zcal > citical value Z =   Test statistic: (Z calculated) Zcal =    (use 4 decimal places) Conclusion:    H0.

Q: We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test…

A: The sample size is 50 and the relative frequencies are 0.65, 0.30, and 0.05.

Q: If we want to provide a 95% confidence interval for the mean of a population when the population…

A:

Q: Given two dependent random samples with the following results: Population 135 34 45 30 49 25 34…

A: Solution: Let x = Population 1  and y = Population 2 x y d=x-y (d-d) (d-d)2 35 44 -9 -7.6…

Q: The following information is obtained from two independent samples selected from two populations. n…

A: Given,n1=250n2=240x¯1=5.35x¯2=4.42σ1=1.65σ2=1.63

Q: Given two dependent random samples with the following results: Population 1 28 24 24 30 31 42 20…

A: Solution:- From given information Let x1 be the value from Population 1  x2 be the value from…

Q: Does breastfeeding lead to increases in IQ scores? To investigate this question, researchers…

A: Given that, n = 275,  Mean (mu) = 100.  And     population standard deviation ( sigma) = 15

Q: Use the given information to answer parts (a) through (d). Ho: H sH, a = 0.05 Sample statistics: x,…

A: Given : x1 = 2273x2 = 2318n1 = 14n2 = 13s1 = 190s2  = 46

Q: What is the null hypothesis when testing for significance using the Pearson correlation coefficient?…

A: The objective is to find the null hypothesis when testing for significance using the Pearson…

Q: Measurements of the fat content of two kinds of ice cream, brand A and brand B, yielded the…

A:

Q: Determine μx and σx from the given parameters of the population and sample size.   μ=72​, σ=28​,…

A: Sampling distribution of sample mean(x¯): Suppose simple random sample of size ‘n’ is drawn from any…

Q: Given r= 0.5 Ery = 90 variance of y = 36, Er= 100, then find N.

A:

Q: We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test…

A:

Q: Given two dependent random samples with the following results: Population 1 30 15 28 44 26 47 32…

A: Compute the difference between the observations. x1 x2 difference (d) 30 44 14 15 28 13 28…

Q: = 03 = 10. For each group, population standard deviations are known as o1 we observe 50 samples, and…

A:

Q: Let the mean of the chance sample drawn from a population whose variance is known as 16 and normally…

A: Given: x=12.8 and σ2=16.   The value of z at 95% confidence level is 1.96.

Q: produce a CROSSTAB for the variables SEX and FEFAM. Examine the relationship between these variables…

A: Given information: The SPSS output regarding the relationship between the variables SEX and FEFAM is…

Q: Consider the following data from a repeated-measures design. You want to use a repeated-measures t…

A: Since we only do up to three subparts of a problem, we'll be doing the first three sub parts. Please…

Q: Assume that you have a sample of n, 8, with the sample mean X, 41, and a sample standard deviation…

A: Suppose μ1, μ2 are the population means of Population 1 and Population 2, respectively.

Q: Assume that you have a sample of n₁ = 8, with the sample mean X₁ =41, and a sample standard…

A:

Q: Assume that you want to test the claim that the paired sample data come from a population for which…

A:

Q: We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test…

A: The requirements that must be satisfied to perform a goodness of fit test are as follows: All the…

Q: Given two dependent random samples with the following results: Population 1 44 31 18 32 20 17 32…

A: given that, two dependent random sample with following results Population 1 (X1) : 44  31  18  32…

Q: Given the following sample statistics X(bar) = 20, Y(bar) = 200, Sx = 100, Sy = 60, Rxy = 0.4, n =…

A: Given: x=20, y=200, sx=100, sy=60, rxy=0.4 and n=50. Then,b1=rxysysx=0.460100=0.24

Q: Choose below the appropriate decision Blank 11 a The four laboratories give the same result b The…

A: It is given that Test statistic = 10.25 Critical value = 5.29

Q: Assume that you have a sample of n, = 7, with the sample mean X, = 48, and a sample standard…

A:

Q: The following information is available for two samples selected from independent normally…

A: Given :   Population​ A:   n1=30   S^21=27 Population​ B:   n2=31   S^22=54

Q: since critical values of t vary by sample size, before using the t table we must first calculate a.…

A: b.degrees of freedom

Q: Activity 1.4. Determine the minimum sample size for eac 1. 95% confidence level, E = 4.8, 0-30 2.…

A: Given: At 95% confidence level, E=4.8, σ=30 At 96% confidence level, E=5, σ=45 At 99% confidence…

Q: Use the following information to answer the next four problems: Test whether p1>p2.The sample data…

A: Solution-: Given: n1=258,n2=311,x1=116,x2=135,α=0.10 We want to find, (a) Test statistic=? (b)…

Q: Determine μx- and σx- from the given parameters of the population and sample size. μ=81​, σ=24​,…

A: solution :  given that the population parameters μ=81​, σ=24​ and sample size  n= 36  so, find  μx-…

Q: Find the FSTAT  B. Find the P-value

A: For sample 1n1=21,s12=61.9For sample 2n2=13,s22=13.3

Q: The collected data for the reaction time of a student is as follows: 2.1 s 1.5 s 1.9 s 1.6 s 1.5 s…

A: Mean is defined as the ratio of sum of all the observations and the total no. of observations. It is…

Q: A colleague claims that he is 90% sure that advertising does not improve sales and in fact, it might…

A:

Q: Recall the data for the three populations. p1 = 0.576      n1 = 250 p2 = 0.48   n2 = 300 p3 = 0.45…

A: Given, p1 = 0.576    n1 = 250p2 = 0.48 n2 = 300p3 = 0.45 n3 = 200

Q: Given two independent random samples with the following results: n₁ = 15 X₁ = 149 S₁ = 32 1₂ = 15 X2…

A: From the provided information,Confidence level = 95%

Q: Test the claim about the population​ mean, μ​, at the given level of significance using the given…

A: H0: μ=30H1: μ≠30Two tailed testb)α=0.04   α2=0.02    1-α2=0.98z*=invNorm0.98,0,1=±2.054critical…

Q: When computing the Z value to compare between two samples of two populations, o2 is a parameter of…

A: The Formula for z value is : z=Xˉ1−Xˉ2- (μ1-μ2)σ12n1+σ22n2

Q: following statistics are calculated by sampling rence the itable and the g table.) 156, n1 = 5; 2 =…

A: a)  To perform this test, we first calculate the following test statistic: LSD=tα2,df×MSE×1ni+1nj…

Q: Assume that you have a sample of n1=8, with the sample mean x1=44, and a sample standard deviation…

A: The provided information are as follows:For sample-1: The sample size, n1=8; The sample mean,…

Q: The following information is available for two samples selected from independent normally…

A: Given information Population A: n=16 S2=45.3 Population B: n=13 S2=12.9

Q: We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test…

A:

Q: Find the Standard Deviation Sx and Sy then find the Sample Covariance Sxy & Correlation Coefficient…

A: Given data is i Xi Yi 1 1.6 22 2 1.9 24 3 2.2 29 4 2.3 21

Q: The parameters of my population distribution are: µ = 50 and σ = 15. The parameters of my sample…

A: To calculate: Calculate my sample's Z score on the comparison distribution.

Q: Given two dependent random samples with the following results: Population 1 19 26 26 30 48 33 31…

A: Given Information: The data set is, Population 1 Population 2   19 24 26 38 26 40 30 38…

Q: Test the claim about the population mean, p, at the given level of significance using the given…

A: