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Strayer University - MAT 300 Unit 5 Milestone 5 Exam. Questions And Answers.
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Strayer University - MAT 300 Unit 5 Milestone 5 Exam. Questions And Answers.
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Strayer University - MAT 300 Unit 5 Milestone 5 Exam. Questions And Answers.Mrs. Pellegrin has weighed 5 packages of cheese and recorded the weights as 10.2 oz, 10.5 oz, 9.3 oz, 9.8 oz, and 10.0 oz. She calculated the
standard deviation to be 0.45 oz.
Select the 95% confidence interval for Mrs. Pellegrin's set of data.
9.4 to 10.52
9.53 to 10.39
9.34 to 10.44
9.48 to 10.44
RATIONALE
In order to get the 95% CI , we first need to find the critical t-score. Using a t-table, we need to find (n-1) degrees of freedom, or (5-1) = 4 df and
the corresponding CI
Using the 95% CI in the bottom row and 4 df on the far left column, we get a t-critical score of 2.776.
We also need to calculate the mean:
So we use the formula to find the confidence interval:
The lower bound is:
9.96 -0.56 = 9.40
The upper bound is:
9.96+0.56 = 10.52
CONCEPT
Confidence Intervals Using the T-Distribution
2
A school is gathering some data on its sports teams because it was believed that the distribution of boys and girls were evenly distributed across all
the sports. This table lists the number of boys and girls participating in each sport.
Boys Girls
Tennis 18 30
Soccer 42 15
Swimming 12 18
Select the observed and expected frequencies for the boys participating in soccer.
Observed: 42
Expected: 24
Observed: 42
Expected: 22.5
Observed: 57
Expected: 22.5
Observed: 57
Expected: 24
RATIONALE
If we simply go to the chart then we can directly see the observed frequency for boys participating in soccer is 42.
To find the expected frequency, we need to find the number of
occurrences if the null hypothesis is true, which in this case, was that the three options a...
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