Question

A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 11 nursing students from Group 1 resulted in a mean score of 51.1 with a standard deviation of 4.3 . A random sample of 18 nursing students from Group 2 resulted in a mean score of 63.1 with a standard deviation of 7 . Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let μ 1 represent the mean score for Group 1 and μ 2 represent the mean score for Group 2. Use a significance level of α = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 4 : State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

Step 3 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

Step 4 of 4: Determine the decision rule for rejecting the null hypothesis H0H0. Round your answer to three decimal places. State the test's conclusion.

Answer #1

1)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ1 = μ2

Alternative Hypothesis, Ha: μ1 < μ2

Pooled Variance

sp = sqrt((((n1 - 1)*s1^2 + (n2 - 1)*s2^2)/(n1 + n2 - 2))*(1/n1 +
1/n2))

sp = sqrt((((11 - 1)*4.3^2 + (18 - 1)*7^2)/(11 + 18 - 2))*(1/11 +
1/18))

sp = 2.3498

Test statistic,

t = (x1bar - x2bar)/sp

t = (51.1 - 63.1)/2.3498

t = -5.107

Decision rule:

This is left tailed test, for α = 0.1 and df = n1 + n2 - 2 =
27

Critical value of t is -1.314.

Hence reject H0 if t < -1.314

Reject the null hypothesis

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 13 nursing students from Group 1 resulted in a mean score
of 66.6 with a standard deviation of 7 ....

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 16 nursing students from Group 1 resulted in a mean score
of 59.2 with a standard deviation of 33. A...

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 13 nursing students from Group 1 resulted in a mean score
of 51.3 with a standard deviation of 7. A...

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 14 nursing students from Group 1 resulted in a mean score
of 44.9 with a standard deviation of 8.5. A...

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 16 nursing students from Group 1 resulted in a mean score
of 52.7 with a standard deviation of 8.5. A...

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 99 nursing students from Group 1 resulted in a mean score
of 65 with a standard deviation of 6.2 A...

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 16 nursing students from Group 1 resulted in a mean score
of 52.7 with a standard deviation of 8.5. A...

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 1010 nursing students from Group 1 resulted in a mean
score of 55.755.7 with a standard deviation of 7.97.9. A...

A study was designed to compare the attitudes of two groups of
nursing students towards computers. Group 1 had previously taken a
statistical methods course that involved significant computer
interaction. Group 2 had taken a statistic methods course that did
not use computers. The students' attitudes were measured by
administering the Computer Anxiety Rating Scale (CARS). A random
sample of 6 nursing students from Group 1 resulted in a mean score
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A study was designed to compare the attitudes of two groups of
nursing students towards computers. group 1 had previously taken a
statistical methods course that involved signicant computer
interaction. group 2 had taken a statistic methods course that did
not use computers. the students attitudes were measured by
administering the computer anxiety rating scale (CARS). a random
sample of 15 nursing students from group 1 resulted in a mean score
of 65.6 with a standard deviation of 7.6. a...

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