Introduction to Statistics Unit 5 Milestone 5 Exam
The government claims that the average age of Californians is 34 years. Joe hypothesizes that the average age of the population of California is not equal to 34 years. He records a sample mean equal to 37 and states the hypothesis as μ = 34 vs μ ≠ 34.
What type of test should Joe do?
Right-tailed test
Two-tailed test
Left-tailed test
Joe should not do any of the types of tests listed
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One condition for performing a hypothesis test is that the observations are independent. Mark is going to take a sample from a population of 400 students.
How many students will Mark have to sample without replacement to treat the observations as independent?
40
300
360
80
Rachel measures the lengths of a random sample of 100 screws. The mean length was 2.6 inches, with a standard deviation of 1.0 inches.
Using the alternative hypothesis (µ < µ0), Rachel found that a z-test statistic was equal to -1.25.
What is the p-value of the test statistic? Answer choices are rounded to the thousandths place.
0.106
0.317
0.159
0.211
Maximus is playing a game. When he rolls the dice he wins if he gets an even number and loses if he gets an odd number.
Which of the following statements is FALSE?
Rolling an even number is considered a success
The count of rolling an odd number can be approximated with a normal distribution
The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution
The count of rolling an even number can be approximated with a normal distribution
Mike tabulated the following values for heights in inches of seven of his friends: 65, 71, 74, 61, 66, 70, and 72. Mike wishes to construct a 95% confidence interval.
What value of t* should Mike use to construct the confidence interval? Answer choices are rounded to the hundredths place.
2.45
1.94
2.37
4.58
Mike tabulated the following values for heights in inches of seven of his friends: 65, 71, 74, 61, 66, 70, and 72. The sample standard deviation is 4.577.
Select the 95% confidence interval for Mike's set of data.
59.95 to 76.91
59.95 to 72.67
64.19 to 76.91
64.19 to 72.67
Select the observed and expected frequencies for Item 2 produced by Plant B.
- Observed: 9.2
- Expected: 17.3
- Observed: 12
- Expected: 10.8
- Observed: 9.2
- Expected: 10.8
- Observed: 12
- Expected: 17.3
For a left-tailed test, the critical value of z so that a hypothesis test would reject the null hypothesis at 1% significance level would be __________. Answer choices are rounded to the hundredths place.
-2.33
-1.28
-1.03
-3.09
Which of the following symbols represents a statistic?
In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association and independence should be performed.
What is the expected frequency of East Campus and passed?
Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He defined the label “smoking regularly” for males smoking 30 or more cigarettes in a day and for females smoking 20 or more. Out of 635 persons who took part in the survey, 71 are labeled as people who smoke regularly.
What is the 90% confidence interval for this population proportion? Answer choices are rounded to the hundredths place.
What value of z* should be used to construct an 88% confidence interval of a population mean? Answer choices are rounded to the thousandths place.
Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. The sample standard deviation is 7.309.
Adam reads that the average speed that cars drive on the highway is 65 mph.
The t-test statistic for a two-sided test would be __________. Answer choices are rounded to the hundredths place.
Which of the following is an example of a parameter?
Half of the receipts at the coffee shop include web address for giving feedback.
All of the members of the community watch group gave their availability to volunteer over the summer.
9047 out of 531,310 citizens voted in the special election for city council.
3.5% of the restaurant goers are given a survey to fill ou
Select the statement that correctly describes a Type I error.
A Type I error occurs when the null hypothesis is rejected when it is actually false.
A Type I error occurs when the null hypothesis is accepted when it is actually true.
A Type I error occurs when the null hypothesis is accepted when it is actually false.
A Type I error occurs when the null hypothesis is rejected when it is actually true.
Which of the following assumptions for a two-way ANOVA is FALSE?
The samples must be dependent.
The variances of the populations must be equal.
The sample populations must be normally or approximately normally distributed.
The groups must have the same sample size.
George measured the weight of a random sample of 49 cartons of apples. The mean weight was 45.5 pounds, with a standard deviation of 3.
To see if the cartons have a significantly different mean weight from 46 pounds, what would the value of the z-test statistic be? Answer choices are rounded to the hundredths place.
-0.13
0.13
-1.17
1.17
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Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. She finds that the proportion of people taking extended vacations nationally is 15%.
The z statistic for this data is __________.
0.56
-0.45
0.45
-0.56
Amanda is the owner of a small chain of dental offices. She sent out the yearly satisfaction survey to 600 randomly selected patients and received 544 surveys back. When looking through the results, she noticed that the downtown dental office staff had 84% of clients reporting satisfaction with services, while the uptown dental office staff had 76% of clients reporting satisfaction with services.
Which of the following sets shows Amanda's null hypothesis and alternative hypothesis?
Null Hypothesis: The proportion of clients satisfied at the uptown office is 76%.
Alternative Hypothesis: There is no difference in the satisfaction between the uptown and the downtown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is greater than the proportion of clients satisfied at the uptown office.
Alternative Hypothesis: Downtown clients are less satisfied with the dental office staff than uptown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is equal to the proportion of clients satisfied at the uptown office.
Alternative Hypothesis: There is a difference in the satisfaction between the uptown and the downtown clients.
Null Hypothesis: The proportion of clients satisfied at the downtown office is 84%.
Alternative Hypothesis: Uptown clients are more satisfied with the dental office staff than downtown clients.
A researcher has a table of data with four column variables and three row variables.
The value for the degrees of freedom in order to calculate the statistic is __________.
6
12
3
11
Adam tabulated the values for the average speed on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph.
If Adam wanted to construct a one-sample t-statistic, what would the value for the degrees of freedom be?
4
7
8
9
Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He defined the label “smoking regularly” for males smoking 30 or more cigarettes in a day and for females smoking 20 or more. Out of 635 persons who took part in the survey, 71 are labeled as people who smoke regularly.
What is the standard error for the sample proportion? Answer choices are rounded to the thousandths place.
2.778
0.013
2.818
0.112
Brad recorded the number of visitors at the local science museum during the week:
Day | Visitors |
Tuesday | 18 |
Wednesday | 24 |
Thursday | 28 |
Friday | 30 |
He expected to see 25 visitors each day. To answer whether the number of visitors follows a uniform distribution, a chi-square test for goodness of fit should be performed. (alpha = 0.10)
What is the chi-squared test statistic? Answers are rounded to the nearest hundredth.
1.12
3.36
1.40
2.54
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