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WorksheetsSTAT. MID TERM. TERMS CHAPTERS 6-9
Total questions: 21
Worksheet time: 11mins
he larger the sample size, the LARGER / SMALLER the standard deviation of 𝑝𝑝̂
SMALLER
LARGER
The LARGER / SMALLER the sample size, the better the normal approximation to the sampling distribution of p̂
LARGER
SMALLER
1) Let p̂ be the estimate of the proportion p based on a simple random sample of size n drawn from a
population. Does the variability of p̂ increase or decrease as n increases? ______
2) Is p̂ a parameter? ___________
Increases/ yes
decreases/ yes
Increases/ no
decreases/ no
All Samsung TV’s sold in California
PARAMETER
STATISTIC
POPULATION
SAMPLE
The average price of all Samsung TV’s sold in California
PARAMETER
STATISTIC
POPULATION
SAMPLE
The percentage of all Samsung TV’s sold in California that are defective
PARAMETER
STATISTIC
POPULATION
SAMPLE
The mean price of 200 randomly selected Samsung TV’s sold in California
PARAMETER
STATISTIC
POPULATION
SAMPLE
500 randomly selected Samsung TV’s in California (to be used for further studies about their performance)
PARAMETER
STATISTIC
POPULATION
SAMPLE
The percentage of cars that are red in a random sample of 2000 cars in Florida
PARAMETER
STATISTIC
POPULATION
SAMPLE
n general, increasing the sample size n makes the confidence interval WIDER/ NARROWER
Wider
Narrower
Which of the following statements is correct about a test of hypothesis?
A test that rejects the null hypothesis at 5% significance level, has a P-value which is larger than 0.06.
A test that rejects the null hypothesis at 5% significance level, also reject it at 10% significance level
A test that rejects the null hypothesis at 5% significance level, also reject it at 1% significance level.
A test that rejects the null hypothesis at 10% significance level must have a P-value smaller than 0.05
Suppose that the mean height of all adults in the U.S. is around 69 inches. You think it is actually less.
You take a random sample of 500 adults and find their average height to be x̄ = 68.1 inches. What are the null and
alternative hypotheses for this situation
Ho: x̄ = 69 versus Ha: x̄ < 69
Ho: μ = 68.1 versus Ha: μ > 69
Ho: x̄ = 69 versus Ha: x̄ < 69
Ho: μ = 69 versus Ha: μ < 69
A test that rejects the null hypothesis at 5% significance level will also reject it at 10% significance level.
ALWAYS FALSE
DEPENDS ON P-VALUE
ALWAYS TRUE
A test that does not rejects the null hypothesis at 10% significance level will not reject it at 5% level either
ALWAYS FALSE
ALWAYS TRUE
DEPENDS ON P-VALUE
A test that rejects the null hypothesis at 2% significance level will also reject it at 1% significance level
ALWAYS FALSE
ALWAYS TRUE
DEPENDS ON P-VALUE
which of the following statements is correct about a confidence interval for μ
A 99% confidence interval would have a smaller margin of error than a 95% confidence interval
A 99% confidence interval would have a larger margin of error than a 95% confidence interval
A 99% confidence interval could have either a larger or smaller margin of error than a 95% confidence interval. This varies from sample to sample.
A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be (3,9). We may conclude that _______________________________________.
there is a 95% probability that μ is between 3 and 9
there is a 95% probability that the true mean is 6, and there is a 95% chance that the true margin of error is 3
All the above
if we tool many, many additional random samples, and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ
Suppose we computed a 80% confidence interval for the average income of all American teens instead of a 90% confidence interval. This 80% confidence interval __________________________.
would have a smaller margin of error than the 90% confidence interval
would have a larger margin of error than the 90% confidence interval
could have either a smaller or larger margin of error than the 90% confidence interval
would have a same margin of error that of a 90% confidence interval
Type 1 error is made if we ____________ null hypothesis where it is ______
reject/ true
reject/ false
fail to reject/ true
fail to reject/ false
type 2 error is made if we _________ the null hypothesis when it is _____________
fail to reject/ true
fail to reject/ false
reject/ true
reject/ false
A poll found that 54% if the people in the sample said they wanted to lose weight. the pool's margin of error for 95% confidence was 4%. This means that ______________
if you take another poll using the same method, the results of the second poll will lie between 91% 7 99%
the poll used a method that gets an answer within 4% of the truth about the population 95% of the time
we can be sure that the precent of all adults who want to lose weight is between 50% and 58%
if we take another poll using the same method, the results of the second poll will lie between 50% and 58%
