- A population where each element of the population is assigned to one and only one of several classes or categories is a multinomial population
- A random sample of 31 charge sales showed a sample standard deviation of $50. A 90% confidence interval estimate of the population standard deviation is 41.39 to 63.68
- A sample of 20 cans of tomato juice showed a standard deviation of 0.4 ounces. A 95% confidence interval estimate of the variance for the population is 0.0925 to 0.3413
- A sample of 20 cans of tomato juice showed a standard deviation of 0.4 ounces. A 95% confidence interval estimate of the variance for the population is 0.0925 to 0.3413
- A sample of 28 elements is selected to estimate a 95% confidence interval for the variance of the population. The chi-square values to be used for this interval estimation are 14.573 and 43.195
- A sample of 51 elements is selected to estimate a 95% confidence interval for the variance of the population. The chi-square values to be used for this interval estimation are 32.357 and 71.420
- A sample of 60 items from population 1 has a sample variance of 8 while a sample of 40 items from population 2 has a sample variance of 10. If we want to test whether the variances of the two populations are equal, the test statistic will have a value of 1.25
- As the sample size increases, the margin of error decreases
- As the test statistic becomes larger for a right tailed test, the p-value gets smaller
- Exhibit 11-10
n=81
s^2=625
H0: sigma^2 = 500
Ha: sigma^2 does not equal 500
Refer to Exhibit 11-10. The p-value is between 0.1 and 0.2 - Exhibit 11-10
n=81
s^2=625
H0: sigma^2 = 500
Ha: sigma^2 does not equal 500
At 95% confidence, the null hypothesis Should not be rejected - Exhibit 11-3
The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to determine whether the variance of the population is significantly more than 0.003
The test statistic is 30 - Exhibit 11-3
The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to determine whether the variance of the population is significantly more than 0.003
At 95% confidence, the critical value fro the table is 37.6525 - Exhibit 11-4
n=30
s^2=625
H0= sigma^2 = 500
Ha= sigma^2 does not equal 500
The null hypothesis is to be tested at the 5% level of significance. The critical values from the table are 16.0471 and 45.7222 - Exhibit 11-4
n=30
s^2=625
H0= sigma^2 = 500
Ha= sigma^2 does not equal 500
The null hypothesis Should not be rejected - Exhibit 11-6
Sample A | Sample B
s^2= 32 | 38
n= 24 | 16
We want to test the hypothesis that the population variances are equal
The test statistic for this problem equals 1.19 - Exhibit 11-6
Sample A | Sample B
s^2= 32 | 38
n= 24 | 16
We want to test the hypothesis that the population variances are equal
The null hypothesis is to be tested at the 10% level of significance. The critical value from the table is 2.13 - Exhibit 11-8
n=23
s^2= 60
H0:sigma^2 greater than or equal to 66
Ha: sigma^2 less than 66
The test statistic has a value of 20.00 - Exhibit 11-8
n=23
s^2= 60
H0:sigma^2 greater than or equal to 66
Ha: sigma^2 less than 66
The null hypothesis Should not be rejected - Exhibit 11-9
n=14
s=20
H0: sigma^2 less than or equal to 500
Ha: sigma^2 greater than or equal to 500
The test statistic for this problem equals 10.4 - Four hundred people were asked whether gun laws should be more stringent. One hundred said “yes,” and 300 said “no.” The point estimate of the proportion in the population who will respond “yes” is 0.25
- From production line A, a sample of 500 items is selected at random, and it is determined that 20 items are defective. In a sample of 300 items from production process B (which produces identical items to line A), there are 18 defective items. Determine a 95% confidence interval estimate for the difference between the proportion of defectives in the two lines (-0.05, 0.01)
- In Excel, which of the following functions is used to conduct a hypothesis test for comparing two population variances? F-Test
- In regression analysis, the unbiased estimate of the variance is mean square error
- In regression analysis, which of the following is not a required assumption about the error term? The expected value of the error term is one.
- The 95% confidence interval estimate for a population variance when a sample variance of 30 is obtained from a sample of 12 items is 15.05 to 86.48
- The chi-square value for a one-tailed (upper tail) hypothesis test at 96% confidence and a sample size of 25 is 36.4151
- The critical value of F at 95% confidence when there is a sample size of 21 for the sample with the smaller variance, and there is a sample size of 9 for the sample with the larger sample variance is 2.45
- The manager of the service department of a local car dealership has noted that the service times of a sample of 15 new automobiles has a standard deviation of 4 minutes. A 95% confidence interval estimate for the variance of service times for all their new automobiles is 8.58 to 39.79
- The manager of the service department of a local car dealership has noted that the service times of a sample of 30 new automobiles has a standard deviation of 6 minutes. A 95% confidence interval estimate for the standard deviation of the service times for all their new automobiles is 4.78 to 8.07
- The number of degrees of freedom for the appropriate chi-square distribution in a test of independence is number of rows minus 1 times number of columns minus 1
- The required condition for using an ANOVA procedure on data from several populations is that the sampled populations have equal variances
- The sampling distribution of the ratio of independent sample variances extracted from two normal populations with equal variances is the F distribution
- The sampling distribution of the ratio of two independent sample variances taken from normal populations with equal variances is an F distribution
- The sampling distribution used when making inferences about a single population’s variance is a chi-square distribution
- The symbol used for the variance of the population is sigma^2
- The weight of pennies is a Quantitative variable
- We are interested in testing to see if the variance of a population is less than 7. The correct null hypothesis is sigma^2 greater than or equal to 49
- When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, n1 and n2 can be of different sizes
- Which choice is an assumption of the 2 sample t-test? You have 2 independent samples
- Which of the following does not need to be known in order to compute the p-value? the level of significance
- You are the quality manager of a small tortilla production plant and you have two machines that are producing tortillas. You would like to know if the average diameter of the tortillas produced by each machine are the same. You collect a random sample of 22 tortillas from machine A and find that they have a mean diameter of 8.1 inches with a standard deviation of 1.2 inches. A random sample of 36 tortillas from machine B yields a mean of 8.0 inches with a standard deviation of 1.6 inches. Is there a difference between the two machines? (use alpha=.05) There is insufficient evidence to conclude that there is a difference in the true mean diameter of tortillas produced by the machines.
- You have a random sample of 45 people in Ogden 12 of them favor gun control. You want to know if less than half the population favors gun control. What type of test would you perform? 1 Prop Z-test
- You have collected data on a quantitative variable from 2 random samples from two populations with unknown standard deviations. What type of test should you use? 2 Sample t-test
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