1) Problem #PRAJNDM "PRAJNDM - STATS4STEM.ORG" |
A)
Twenty-one elastic bands were randomly divided into two groups. One of the sets was placed in hot water (60-65 degrees C) for four minutes, while the other was left at ambient temperature. After a wait of about ten minutes, the amounts of stretch, under a 1.35 kg weight, were recorded. A researcher wishes to prove that heated bands stretch more than bands stretched while at ambient temperature.What is the best formula to calculate the test statistic for this problem? A. B. C. D. E. © STATS4STEM.ORG |
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B)
Which of the following represent the correct null and alternative hypothesis? Notation: H - Heated; A - Ambient A) H0: μH = 0 Ha: μH < μA B) H0: μH = μA Ha: μH < μA C) H0: μH = 0 Ha: μH ≠ μA D) H0: μH = μA Ha: μH > μA E) H0: μH ≠ μA Ha: μH > μA F) H0: μH = 0 Ha: μH > μA G) None of the above |
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C)
What assumptions and condition must be checked before proceeding with your test of significance? |
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D)
Calculate the test statistic, t, for this problem. Round answer to the nearest hundredths. |
E)
What is the degrees of freedom for this problem? If using technology, round answer to the nearest hundredth. |
F)
Using either the TI-83 or R/Rweb, calculate the p-value. Round answer to the nearest hundredth. |
G)
Please state your conclusion for this hypothesis test in the context of the problem. |
H)
For this problem, calculate the margin of error for a 99% confidence interval. Round answer to the nearest hundredth. |
2) Problem #PRAJH5F "PRAJH5F - 245866 - The follow..." |
A)
The data below is a boxplot for the price of diamonds that have an IF clarity rating. This boxplot is: © STATS4STEM.ORG |
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B)
Review the boxplot and histogram above. 50% of the diamonds in this dataset have a price below: |
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3) Problem #PRAJBNT "PRAJBNT - 239646 - What is the z-sco..." |
What is the z-score for the third quartile of a standard normal distribution? Round answer to the nearest hundredth. Link to z-table © STATS4STEM.ORG |
4) Problem #PRAJH5B "PRAJH5B - 245862 - This problem pert..." |
A)
This problem pertains to data pertaining to car characteristics. For this problem, we will model MPG.city against Min.Price. Variable Descriptions: Using the information found above, what is the slope of the least-squares regression line? © STATS4STEM.ORG |
B)
Using the information found above, what is the y-intercept of the least-squares regression line? |
C)
The equation of the regression line is: |
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D)
Interpret the slope of your regression equation in the context of this problem. |
E)
The first row of the dataset is found below. Using your answers to parts A and B, predict the MPG.city when Min.Price is 14.2. Round answer to the nearest hundredth. |
F)
The first row of the dataset is found below. What is the residual when Min.Price is 14.2? |
G)
For this problem, the degrees of freedom = 46. How many rows are in our dataset? Hint: For linear regression, df = n-2 |
H)
What is S for this problem? Round answer to the nearest hundredth. |
I)
Below, you will find the scatterplot with fitted regression line and residual plot. Is a linear model appropriate for modeling these data? |
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5) Problem #PRAJBQF "PRAJBQF - 239697 - Word Bank: bi..." |
A)
Word Bank:
Refer to the words above to answer the following questions. A word can only be used once. Please answer all fill-ins using lower case letters. A(n)_________________________ observes individuals and measures variables of interest but does not attempt to influence responses. © STATS4STEM.ORG |
B)
A(n)_________________________ deliberately imposes some treatment on individuals in order to observe their responses. |
C)
A(n)_________________________ is an entire group of individuals that we want information about. |
D)
A(n)_________________________ is a part of the population that we actually examine in order to gather information. |
E)
A study that systematically favors a certain outcome is_____________________. |
F)
A(n)_________________________ attempts to contact every individual in the entire population. |
6) Problem #PRAJBWN "PRAJBWN - 238090 - #5" |
A)
The probability you will complete a certain level in video game X is shown below:
a) Is this a discrete or continuous distribution? © STATS4STEM.ORG |
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B)
b) P (X ≤ 3) |
C)
c) P(X ≥ 5) |
7) Problem #PRAE8Z9 "PRAE8Z9 - 147745 - Which statement i..." |
Which statement is correct? © STATS4STEM.ORG |
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