Homework Answers
Option 1
As the null hypothesis is the hypothesis with equality that is with no difference then the alternate hypothesis would be that both the means are not equal and hence this option is correct.
It is not asked to check whether one mean is greater than the other so option 2 and 3 are ruled out and option 4 is the null hypothesis as it i concerned with no difference.
Do comment if you have any doubt.
Thank you !!
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The weekly wage for a sample of n1 = 30 workers in a large manufacturing firm...
Here are the choices for all the blanks Sample 1 n1= 115 0.55 130 or not...
Here are the choices for all the blanks
Sample 1
n1= 115 0.55 130 or not provided/unknown
u1= 0.55 8.62 8.09 or not provided/unknown
M1= 8.09 0.55 8.62 not provided/unknown
θ1= 0.55 8.62 not provided/unknown 0.66
s1= not provided/unknown 8.62 0.55 0.66
Sample 2
n2= 115 8.09 130 or not provided/unknown
u2= not provided/unknown 0.66 8.09 or 130
M2= 130 8.09 8.62 not provided/unknown
θ2= 8.09 130 0.66 or not provided/unknown
s2= 8.09 not provided/unknown 0.55 0.66
Attempts: Keep the...
Consider this experiment: A random sample of size n1 = 16
Consider this experiment: A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population with an unknown mean and a standard deviation of 12. Assume the two samples are independent. Let x̄1 and x̄2 be the sample means. In each run of the experiment, you compare the two sample means by taking...
A random sample of n1=16 is selected from a normal population with a mean of 74...
A random sample of n1=16 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2=8 is taken from another normal population with mean 69 and standard deviation 14. Let X1 and X2 be the two sample means. Find: (a) the probability that X1-X2 exceeds 4. (b) the probability that 4.0 = X1-X2 = 5.1.
A random sample of 49 measurements from one population had a sample mean of 18, with...
A random sample of 49 measurements from one population had a sample mean of 18, with sample standard deviation 5. An independent random sample of 64 measurements from a second population had a sample mean of 21, with sample standard deviation 6. Test the claim that the population means are different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The standard normal. We assume that both population distributions are approximately normal with unknown...
Assume that you have a sample size of n1 = 16 with a mean of 42 and a standard deviation (S) equal to 9. Assume that you have another independent sample with n2 = 25, a mean of 36 and a standard devia...
Assume that you have a sample size of n1 = 16 with a mean of 42 and a standard deviation (S) equal to 9. Assume that you have another independent sample with n2 = 25, a mean of 36 and a standard deviation (S) of 4. Assume you are directed to use a significance level of α = 0.01. [DM.4] Construct the appropriate hypothesis test. Identify H0 and H1. What are the appropriate critical values? (4 Decimal Places) From what...
For the independent-measures t test, which of the following describes the estimated standard error of M1 - M2 (whose sy...
For the independent-measures t test, which of the following describes the estimated standard error of M1 - M2 (whose symbol is )? O The variance across all the data values when both samples are pooled together O A weighted average of the two sample variances (weighted by the sample sizes) O The difference between the standard deviations of the two samples O An estimate of the standard distance between the difference in sample means (M, - M2) and the difference...
A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage,...
A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.08, and there is reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.45,...
Courses Classify the following: Employees in a large accounting firm claim that the salary of the...
Courses Classify the following: Employees in a large accounting firm claim that the salary of the firm's accountants is less than that of its competitor's, which is $45,000. In a random sample of 30 of the firm's accountants the mean salary was found to be $43,500 with a standard deviation of $5,200. Does this sample provide evidence to support employees claim? Which of the following hypothesis testing methods is appropriate? rse Hom mework O A. Hypothesis Test about using Z...
Sample 1 Sample 2 n1 = 15 n2 = 13 x1 =54 x2 = s1 =39...
Sample 1 Sample 2 n1 = 15 n2 = 13 x1 =54 x2 = s1 =39 77 s2=46 Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right a. Assuming equal vanances, conduct the test Ho (μι-μ2) 0 against H. (m-H2)" 0 using α 0 05 b. Find and interpret the 95% confidence interval for (P:- a. Find the test statistic The test statistic is Round to two decimal places as...
A random sample of 25 wolf litters in Ontario, Canada, gave an average of X1 = 5.6 wolf pups per litter, with estimated...
A random sample of 25 wolf litters in Ontario, Canada, gave an average of X1 = 5.6 wolf pups per litter, with estimated sample standard deviation S1 = 0.9. Another random sample of 14 wolf litters in Finland gave an average of x2 = 2.2 wolf pups per litter, with sample standard deviation s2 = 0.8. (a) Categorize the problem below according to parameter being estimated, proportion p, mean u, difference of means uu - U2, or difference of proportions...
Here are the choices for all the blanks
Sample 1
n1= 115 0.55 130 or not provided/unknown
u1= 0.55 8.62 8.09 or not provided/unknown
M1= 8.09 0.55 8.62 not provided/unknown
θ1= 0.55 8.62 not provided/unknown 0.66
s1= not provided/unknown 8.62 0.55 0.66
Sample 2
n2= 115 8.09 130 or not provided/unknown
u2= not provided/unknown 0.66 8.09 or 130
M2= 130 8.09 8.62 not provided/unknown
θ2= 8.09 130 0.66 or not provided/unknown
s2= 8.09 not provided/unknown 0.55 0.66
Attempts: Keep the...
A random sample of 49 measurements from one population had a sample mean of 18, with sample standard deviation 5. An independent random sample of 64 measurements from a second population had a sample mean of 21, with sample standard deviation 6. Test the claim that the population means are different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The standard normal. We assume that both population distributions are approximately normal with unknown...
For the independent-measures t test, which of the following describes the estimated standard error of M1 - M2 (whose symbol is )? O The variance across all the data values when both samples are pooled together O A weighted average of the two sample variances (weighted by the sample sizes) O The difference between the standard deviations of the two samples O An estimate of the standard distance between the difference in sample means (M, - M2) and the difference...
A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.08, and there is reason to believe that this year's value is greater than last year's. The union decides to do a statistical test to see if the value has indeed increased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.45,...
Courses Classify the following: Employees in a large accounting firm claim that the salary of the firm's accountants is less than that of its competitor's, which is $45,000. In a random sample of 30 of the firm's accountants the mean salary was found to be $43,500 with a standard deviation of $5,200. Does this sample provide evidence to support employees claim? Which of the following hypothesis testing methods is appropriate? rse Hom mework O A. Hypothesis Test about using Z...
Sample 1 Sample 2 n1 = 15 n2 = 13 x1 =54 x2 = s1 =39 77 s2=46 Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right a. Assuming equal vanances, conduct the test Ho (μι-μ2) 0 against H. (m-H2)" 0 using α 0 05 b. Find and interpret the 95% confidence interval for (P:- a. Find the test statistic The test statistic is Round to two decimal places as...
A random sample of 25 wolf litters in Ontario, Canada, gave an average of X1 = 5.6 wolf pups per litter, with estimated sample standard deviation S1 = 0.9. Another random sample of 14 wolf litters in Finland gave an average of x2 = 2.2 wolf pups per litter, with sample standard deviation s2 = 0.8. (a) Categorize the problem below according to parameter being estimated, proportion p, mean u, difference of means uu - U2, or difference of proportions...
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