Statistics Unit 5 Milestone rated A with Questions and Answers Solutions

Statistics Unit 5 Milestone rated A with Questions and Answers Solutions
1.
Joe is measuring the widths of doors he bought to install in an apartment complex. He measured 72 doors and
found a mean width of 36.1 inches with a standard deviation of 0.3 inches. To test if the doors differ significantly
from the standard industry width of 36 inches, he computes a z-statistic.
What is the value of Joe's z-test statistic?
2.83
-1.81
-2.83
1.81
RATIONALE
2/22
Statistics Unit 5 Milestone rated A with questions and answers 2026
solutions
If we first note the denominator of
Then, getting the z-score we can note it is
This tells us that 36.1 is 2.83 standard deviations above the value of 36.
Note that when you round some values you may get slightly different results, but the results should be relatively
close to this final calculated value.
2
Emile has calculated a one-tailed z-statistic of -1.97 and wants to see if it is significant at the 5% significance
level.
What is the critical value for the 5% significance level? Answer choices are rounded to the hundredths
place.
-2.33
0
-1.04
-1.64
RATIONALE
Recall that when a test statistic is smaller than in a left-tailed
test we would reject Ho. The closest value to 5%, or 0.05, in the table would be between 0.0505 and 0.495.
0.0505 corresponds with a z-score of -1.64
0.0495 corresponds with a z-score of -1.65.
We need to calculate the average of the two z-scores to get a z-score of -1.645.
3
3/22
What do the symbols , , and represent?
Variables of interest
Defined variables
Population parameters
Sample statistics
RATIONALE
Recall that is the sample proportion, is the sample mean, and is the sample standard deviation. Since all of
these come from samples they are statistics.
4
A coin is tossed 50 times, and the number of times heads comes up is counted.
Which of the following statements about the distributions of counts and proportions is FALSE?
The distribution of the count of getting heads can be approximated with a normal distribution.
The distribution of the count of getting tails can be approximated with a normal distribution.
The count of getting heads is a binomial distribution.
The count of getting heads from a sample proportion of size 20 can be approximated with a normal
distribution.

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