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Terms in this set (49)
The governor of a Midwestern state wants to know his approval rating following a recent scandal. Using a telephone poll of registered voters in his state, 565 constituents are surveyed. The researchers determine that 37% of the governor's constituents that were surveyed currently approve of the job he is doing in office. "37%" is an example of a _______________
Statistic
Determine whether the data described below is qualitative or quantitative.
"Ball park capacity for each of 30 Major League Baseball teams."
Quantitative
Determine whether the data described are discrete or continuous.
"The number of TI-84 graphing calculators in the classroom."
Discrete
Which of the following is an example of a graphical display for qualitative data?
Bar graph
The cost of six homes in a certain area is given:
$168,000 $175,000 $192,500 $187,000 $199,900 $1,245,000
Which measure of central tendency should be used in this situation? In other words, which central tendency would best represent the average in this case?
Median
Identify the survey technique used:
At Santa Barbara City College, 5 sections of Math 117 classes were randomly selected out of 25 sections and all students in those 5 sections were interviewed.
Cluster Random Sample
Identify the survey technique used:
Twenty students from each grade level (9th, 10th, 11th, and 12th grade) at a local high school are selected and surveyed.
Stratified Random Sample
Identify the survey technique used:
A pollster walks around a busy shopping mall and approaches people passing by to ask them how often they shop at the mall.
Convenience Sample
Identify the survey technique used:
Police at a sobriety checkpoint pull over every fifth car to determine whether the driver is sober.
Systematic Sample
If we remove the largest number in a data set that is skewed right, which of the following number is affected the least?
IQR
Brinn was extremely excited when she received her SAT score. "OMG! I scored in the 85th percentile!" she shouted. What does 85th percentile mean?
Her score is better than 85% of students who took the test
A least squares regression model was produced to predict students' final exam score (y) from midterm scores (x). The least squares regression line is y = 6 + 0.9x . If Kiana's midterm score was 80, what is her predicted final exam score?
78
A local community college announces the correlation coefficient between college entrance exam grades and scholastic achievement was found to be r = - 1.28 . On the basis of this you would tell the college that
The college should hire a new statistician as r is always between -1 and 1
If A and B are independent events, and P(A)= 1/3, P(B)= 1/4, what is P(A and B)=?
0.0833
If A and B are mutually exclusive events, and P(A)= 1/3, P(B)= 1/4, what is P(A or B)=?
0.5833
If A and B are independent events, and P(A)= 1/3, P(B)= 1/4, what is P(A|B)=?
0.3333
A test consists of 80 true/false questions. If a student randomly guesses on each question, what's his expected number of correct answers?
40
We have an unfair coin that can only land on heads or tails. If the probability the coin landing on heads is 0.6, what's the probability of the coin landing on tails?
0.4
Which of the following cannot be a numerical value representing probabilities?
- 0.9
In Fall, 2019, 70 students were registered in my Introduction to Statistics classes. Of the 70 students, 41 are men and 29 are women, and there are two women with first name Catherine: Catherine A. and Catherine D.
What's the probability that a randomly selected student will be a woman?
0.4143
In Fall, 2019, 70 students were registered in my Introduction to Statistics classes. Of the 70 students, 41 are men and 29 are women, and there are two women with first name Catherine: Catherine A. and Catherine D.
What's the probability that a randomly selected student will have the first name "Catherine"?
0.02857
In Fall, 2019, 70 students were registered in my Introduction to Statistics classes. Of the 70 students, 41 are men and 29 are women, and there are two women with first name Catherine: Catherine A. and Catherine D.
What's the probability that a randomly selected student will have the first name of "Catherine" given the student selected is a woman?
0.06897
How many possible outcomes (in heads/tails sequence) are there if we flip a coin 5 times?
32
Which of the following is not a binomial experiment/distribution?
A coin is flipped repeatedly until the first tail comes up. Let X be the number of times the coin is flipped.
Given the standard normal distribution curve shown in the figure below, find the area under the curve between z = 0 and z = 2.16
0.4846
Find the area under the standard normal curve to the right of z = 1.25.
0.1056
Find the probability P(Z < 0.27) using the standard normal distribution
0.6064
Find the z-score that is greater than the mean and for which 30% of the distribution's area lies to its right.
0.52
Phone bills for residents of a city have a mean of $64 and a standard deviation of $9. Suppose a random sample of size 25 is drawn from the population. What is the mean of the sampling distribution, μx¯?
$64
Phone bills for residents of a city have a mean of $64 and a standard deviation of $9. Suppose a random sample of size 25 is drawn from the population. What is the standard deviation of the sampling distribution, σx¯?
$1.8
A test consists of 80 multiple choice questions, each with five possible choices., only one of which is correct. If a student randomly guesses on each question, how many questions is he expected to guess correctly?
16
A survey of 120 registered voters showed that 70 were planning on voting stricter gun laws in the upcoming election. Find a point estimate for p, the population proportion of registered voters who will vote for stricter gun laws.
0.583
Given H0:P=.80 and H1:p≠.80, determine whether the hypothesis is left-tailed, right-tailed, or two-tailed
two-tailed
Given H1:μ>18 and p-value is 0.03, Do you reject H0 the 0.05 level of significance?
Reject Ho
Find the critical value for a right-tailed hypothesis test for mean with α=0.05 , n = 15, and σ=5.
1.645
Find the critical value of a sample with n = 12, s = 7 and α=0.01, if H1:μ<18.
-2.718
The p-value of a test of the null hypothesis is
Assuming the null hypothesis is true, the probability that the sample data could be as extreme or more extreme than your observation
Suppose you want to test the claim μ≠15 using z-test because population standard deviation is known. When should you reject H0 if α=0.05?
Reject Ho is test statistic is less than -1.96 or greater than 1.96
The hypothesis test for the statement "the mean age of all bus drivers in Chicago is not 47 years old" is performed. How would you interpret the decision that rejects the null hypothesis?
We have enough evidence to conclude the mean age is not 47 years old
A garbage collector believes he on average picks up more than 4 tons of garbage each day. When the hypothesis test is performed, what is the alternative hypothesis?
H1:μ>4
Find the critical value, tα/2, for a 99% confidence interval with a sample size n=10.
3.250
Find the critical value,Zα/2, that corresponds to a 94% confidence interval.
1.88
A college placement program claims that the mean starting salary for college graduates who have taken statistics is $46,000. A returning graduate thinks that the mean starting salary is less than $46,000. A sample of 35 such graduates gave a mean salary of $45,678 with a standard deviation of $822. Select the null and alternative hypotheses.
H0 u=46,000
H1 U<46,000
A 95% confidence interval for the mean reading achievement score for a population of the third grade students is 44.2<μ<54.7 . Suppose you want to compute a 99% confidence interval using the exact same information and sample statistics. Which of the following statements is correct:
The 99% confidence interval will be larger
A 95% confidence interval for mean μ of a population is computed from a random sample and found to be 9±3. We may conclude
that if we took many, many additional random samples and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ.
What is the z value so that 50% of the total area lies to the right of the standard normal curve?
0
Assuming everything else stays the same, as the sample size increases, the margin of error for a confidence interval will
decrease
For a sample of 25 IQ scores selected from a population of IQ scores that are normally distributed, the mean score is 105.8 and population standard deviation is 15. Determine whether a standard normal distribution z or a t-distribution should be used to construct a 95% confidence interval estimate for population mean of all IQ scores. Assume IQ scores are normally distributed.
z-distribution
To set rates, an insurance company is trying to estimate the number of sick days that full time workers at an auto repair shop take per year. A previous study indicated that the standard deviation was 2.8 days. How large a sample must be selected if the company wants to be 90% confident that the true mean differs from the sample mean by no more than 0.5 day?
85
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