Question
In a hypothesis test to compare two sample groups, the sample size for each sample group is 28. The population standard deviation for each sample
In a hypothesis test to compare two sample groups, the sample size for each sample group is 28. The population standard deviation for each sample group is known. The appropriate technique to use is ______________
Question 1 options:
| |||
| |||
| |||
| |||
|
Question 2
A researcher wishes to test a hypothesis that compares family incomes between two cities. He sampled 15 households from each city. He was not given the population standard deviation of family income for each city. The population standard deviations are unknown. The degree of freedom is _______
| |||
| |||
| |||
| |||
|
Question 3
A researcher wishes to test a hypothesis that the average family incomes in City A is more than the average family income in City B. He sampled 20 households from each city. The population standard deviation for each city is unknown. At 5% significance level, the critical value __________
| |||
| |||
| |||
| |||
|
Question 4
A researcher wishes to test a hypothesis that the average family income in City A is less than the average family income in City B. He sampled 15 households from each city. The population standard deviation for each city is known. At 10% significance level, the critical value __________
| |||
| |||
| |||
| |||
|
Question 5
A professor wants to know if students in his day class did better on a test than students in his night class. She obtained the following summary statistics.
Day | Night | |
Sample Mean | 70 | 66 |
Sample Standard Deviation | 10 | 8 |
Sample Size | 36 | 36 |
The test value is _________________
Question 5 options:
| |||
| |||
| |||
| |||
|
Question 6
A researcher is testing a research hypothesis that IQs of students from private schools is significantly higher than that of their counterparts from the public school. At 10% significant level, the p-value for the hypothesis test was 25%. The conclusion is that ________________
| |||
| |||
| |||
| |||
|
Question 7
The following Excel output shows the result of a hypothesis test (at alpha 5%) which explores whether there is a significant difference in crime rate between two cities - Tomville and Dinaville.
t-Test: Two-Sample Assuming Unequal Variances | ||
Tomsville | Dinaville | |
Mean | 17.1 | 19.4 |
Variance | 9.7 | 5.4 |
Observations | 10 | 10 |
Hypothesized Mean Difference | 0 | |
df | 17 | |
t Stat | -1.90 | |
P(T<=t) one-tail | 0.04 | |
t Critical one-tail | 1.74 | |
P(T<=t) two-tail | 0.07 | |
t Critical two-tail | 2.11 |
Which of the following statements is a correct interpretation of the p-value?
Question 7 options:
| |||
| |||
| |||
| |||
|
Question 8
The following Excel output shows the result of a hypothesis test which explores whether male drivers pay more in insurance premium than female drivers (at alpha 5%).
t-Test: Two-Sample Assuming Unequal Variances | ||
Male | Female | |
Mean | $344.10 | $245.60 |
Variance | 8681.43 | 6102.93 |
Observations | 10 | 10 |
Hypothesized Mean Difference | 0 | |
df | 18 | |
t Stat | 2.56 | |
P(T<=t) one-tail | 0.01 | |
t Critical one-tail | 1.74 | |
P(T<=t) two-tail | 0.02 | |
t Critical two-tail | 2.11 |
Which of the following is the correct interpretation of p-value?
Question 8 options:
| |||
| |||
| |||
| |||
|
Question 9
A city planner believes that the public transit users spend less time commuting to work than non-public transit users. He surveyed 26 public transit users and 26 non-public transit users. The public transit users have an average commuting time of 20 minutes with a standard deviation of 5 minutes. The non-public transit users have an average commuting time of 30 minutes with a standard deviation of 10 minutes. Alpha is 10%.
The alternative hypothesis is _________________
Question 9 options:
| |||
| |||
| |||
| |||
|
Question 10
A city planner believes that the transit users spend less time commuting to work than non-transit users. He surveyed 26 public transit users and 26 non-public transit users. The public transit users have an average commuting time of 20 minutes with a standard deviation of 5 minutes. The non-public transit users have an average commuting time of 30 minutes with a standard deviation of 10 minutes. Alpha is 10%.
The critical value is _________________
Question 10 options:
| |||
| |||
| |||
| |||
|
Question 11
A city planner believes that the public transit users spend less time commuting to work than non-public transit users. He surveyed 26 public transit users and 26 non-public transit users. The public transit users have an average commuting time of 20 minutes with a standard deviation of 5 minutes. The non-public transit users have an average commuting time of 30 minutes with a standard deviation of 10 minutes. Alpha is 10%.
The test value is _________________
Question 11 options:
| |||
| |||
| |||
| |||
|
Question 12
A city planner believes that the public transit users spend less time commuting to work than non-public transit users. He surveyed 26 public transit users and 26 non-public transit users. The public transit users have an average commuting time of 20 minutes with a standard deviation of 5 minutes. The non-public transit users have an average commuting time of 30 minutes with a standard deviation of 10 minutes. Alpha is 10%.
The statistical decision is to _________________
Question 12 options:
| |||
| |||
| |||
| |||
|
Question 13
Which of the following test is used in ANOVA?
Question 13 options:
| |||
| |||
| |||
| |||
|
Question 14
In the ANOVA, treatments refer to __________________ Question 14 options:
| |||
| |||
| |||
| |||
|
Question 15
The two types of variability involved in the measurement outcome for ANOVA are _____________
Question 15 options:
| |||
| |||
| |||
| |||
|
Question 16
In an ANOVA test, the within-group variation (SSW) is 1264 and between-group variation (SSB) is 408. The study involved three groups, with 10 subjects in each group. The degree of freedom for between-group variation is _________________
Question 16 options:
| |||
| |||
| |||
| |||
|
Question 17
An ANOVA procedure is used for data obtained from five sample groups, and each group comprised of 25 observations. At alpha 5%, the F-critical value is _____________________
Question 17 options:
| |||
| |||
| |||
| |||
|
Question 18
In an analysis of variance problem if MSB = 178 and MSW = 205, then F-test value is __________
Question 18 options:
| |||
| |||
| |||
| |||
|
Question 19
In an analysis of variance problem if SSW = 74 and SSB = 128, then SST is __________
Question 19 options:
| |||
| |||
| |||
| |||
|
Question 20
At 5% significance level, a researcher conducted an ANOVA test comparing five groups of treatments with 10 observations per group. The following is a partial ANOVA table obtained from the research.
Source | SS | df | MS | F-test | P-value | F-critical |
Between Variation | 224 | (b) | (e) | (g) | 0.002 | (h) |
Within Variation | (a) | (c ) | (f) | |||
Total Variation | 408 | (d) |
The degree of freedoms for values in cell (b) and cell (c) are __________
Question 20 options:
| |||
| |||
| |||
| |||
|
Question 21
At 5% significance level, a researcher conducted an ANOVA test comparing five groups of treatments with 10 observations per group. The following is a partial ANOVA table obtained from the research.
Source | SS | df | MS | F-test | P-value | F-critical |
Between Variation | 224 | (b) | (e) | (g) | 0.002 | (h) |
Within Variation | (a) | (c ) | (f) | |||
Total Variation | 408 | (d) |
The values for MSB (cell e) and MSW (cell f), respectively, are __________
Question 21 options:
| |||
| |||
| |||
| |||
|
Question 22
At 5% significance level, a researcher conducted an ANOVA test comparing five groups of treatments with 10 observations per group. The following is a partial ANOVA table obtained from the research.
Source | SS | df | MS | F-test | P-value | F-critical |
Between Variation | 224 | (b) | (e) | (g) | 0.002 | (h) |
Within Variation | (a) | (c ) | (f) | |||
Total Variation | 408 | (d) |
The f-test value in cell (g) is __________
Question 22 options:
| |||
| |||
| |||
| |||
|
Question 23
At 5% significance level, a researcher conducted an ANOVA test comparing five groups of treatments with 10 observations per group. The following is a partial ANOVA table obtained from the research.
Source | SS | df | MS | F-test | P-value | F-critical |
Between Variation | 224 | (b) | (e) | (g) | 0.002 | (h) |
Within Variation | (a) | (c ) | (f) | |||
Total Variation | 408 | (d) |
The f-critical value is cell (h) is ________
Question 23 options:
| |||
| |||
| |||
| |||
|
Question 24
In an Anova test, an F-test value ________________ will likely suggest that the difference between groups is the same as difference within groups.
Question 24 options:
| |||
| |||
| |||
| |||
|
Question 25
In an Anova test, an F-test value ________________ will likely suggest that the difference between groups is more than difference within groups.
Question 25 options:
| |||
| |||
| |||
| |||
|
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started