1) Problem #PRAJSD7 "PRAJSD7 - 252864 - Assign monday 2.5" |
A)
This problem uses the seeds dataset. Scientists often research relationships between seed types and the number of germinated seeds. For this problem, researchers wish to show that seed type 1 creates more germinated seeds than seed type 0. The data below shows data from a randomized experiment. The data displays the number of germinated seeds by seed type for the experiment. 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: 0 - Seed Type 0; 1 - Seed Type 1 A) H0: μ1 = 0 Ha: μ1 > μ0 B) H0: x-bar1 = x-bar0 Ha: x-bar1 > x-bar0 C) H0: μ1 = μ0 Ha: μ1 > μ0 D) H0: μ1 = μ0 Ha: μ1 < μ0 E) H0: p1 ≠ p0 Ha: p1 > p0 F) H0: x-bar1 = 0 Ha: x-bar1 > x-bar0 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)
While taking the AP Statistics exam, it is suggested that one: |
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E)
For the remainder of the problems for this assistment, YOU MUST use technology to calculate t, df, and the p-value for this problem. Specifically, one must use the two sample t-test feature of the TI-83 to obtain the remaining answers. This assistment does not support answers derived from using the t-table. Using technology, calculate the test statistic, t, for this problem. Round answer to the nearest hundredths. |
F)
Using technology, dermine the degrees of freedom for this problem? Round answer to the nearest hundredth. |
G)
Using either the TI-83 or R/Rweb, calculate the p-value. Round answer to the nearest hundredth. *** You must use technology for this problem to get the correct answer. The t-table will not provide an accurate enough answer. |
H)
State your conclusion for this problem: |
2) Problem #PRAJT5P "PRAJT5P - 254522 - Harry Potter deci..." |
A)
Harry Potter decides to use his fame to start a coffee business called Magical Coffee. His first brand of coffee was called Magic Potion #9. But sales were slow, so he decided to brew up a new type of coffee. He decided to call his new brand of coffee Siriously Black. However, he wasn't sure if his new coffee was actually better than his old coffee. So, he decided to run a blind taste test by choosing 12 coffee drinkers to try the two types of coffee and rate both coffees on a scale of 1-10. To randomize the experiment, half the drinkers were asked to drink Magic Potion #9 first, followed by Siriously Black. The other half were asked to drink Siriously Black first, followed by Magic Potion #9. Based on the data below, can Harry claim that his new Siriously Black coffee is better than his old Magic Potion #9 coffee? To prove their claim, which of the following formulas should be used to calculate the test statistic? A. B. C. D. E. © STATS4STEM.ORG |
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B)
Which of the following represent the correct null and alternative hypothesis? A) H0: μdiff = 0 Ha: μdiff > 0 B) H0: μSB = μMP Ha: μSB < μMP C) H0: μdiff < 0 Ha: μdiff > 0 D) H0: μSB < 0 Ha: μSB ≠ μMP E) H0: μSB = μMP Ha: μSB > μMP F) H0: μdiff = 0 Ha: μdiff ≠ 0 |
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C)
For this problem, calculate the following statistic: Round answer to the nearest hundredth. |
D)
Calculate the test statistic, t. Round answer to the nearest hundredth. |
E)
What is the degrees of freedom for this problem? |
F)
Using the TI-83 or Rweb, calculate the p-value for this hypothesis test. Round answer to the nearest hundredth. *** You must use technology for this problem to get the correct answer. The t-table will not provide an accurate enough answer. |
G)
Which of the following is the best conclusion to this problem? |
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3) Problem #PRAJEHS "PRAJEHS - 237863 - Hypothesis Test - 1 Sample Mean - EJS" |
A)
When conducting a hypothesis test, what is the first thing that we should assume? © STATS4STEM.ORG |
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B)
A metal fabrication company was hired to manufacture metal strips that are 16 inches long. It is suspected that the length of the metal strips do not equal 16 inches. It is known that the the distribution for the manufactured length of individual strips is normal with a standard deviation σ = 1 inch. A quality inspector randomly samples 100 pieces and measures and records the lengths. The sample mean is calculated to be 16.18 inches.
For this problem, what would be considered the null and alternative hypothesis?A) H0: μ = 16.18 HA: μ > 16.18 B) H0: x-bar = 16.18 HA: x-bar ≠ 16.18 C) H0: μ = 16 HA: μ > 16 D) H0: x-bar = 16 HA: x-bar > 16 E) H0: μ = 16 HA: μ ≠ 16 F) Ho: μ = 16.18 HA: μ ≠ 16.18 |
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C)
For this hypothesis test, the sample mean is 16.18 and the null and alternative hypothesis are: If we assume that the null is true, what is the mean of the sampling distribution for x-bar? |
D)
If we assume that the null is true, what is the standard deviation of the sampling distribution for x-bar? Round answer to the nearest hundredth. |
F)
If we assume the level of significance is 0.05, we can: |
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4) Problem #PRAFHH3 "PRAFHH3 - Once sample t confidence intervals - EJS" |
A)
A simple random sample (SRS) of the scores of 18 statistics students has a mean of 79. The standard deviation calculated from the sample is 6. We are going to calculate the 90% confidence interval of the mean scores of all statistics students. a) First, what is the number that represents the point estimate for this problem? © STATS4STEM.ORG |
B)
What 2 conditions must be met before constructing a confidence interval for μ? Furthermore, explain how you know all conditions are met. |
C)
Now, what is t* for a sample size of 18 and for a 90% confidence interval. Give answer exactly as listed on the t-table (don't round). Click here if you need a t-table. |
D)
Now, calculate the margin of error for this problem. Round answer to the nearest hundredth. |
E)
Now, lets go ahead and calculate the 90% confidence interval. The inteval can be broken into a lower limit and an upper limit. (Lower Limit, Upper Limit) What is the Lower Limit? Round answer to the nearest hundredth. |
F)
What is the Upper Limit of a 90% confidence interval? Round answer to the nearest hundredth. |
G)
A correct interpretation for the confidence interval would be: |
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5) Problem #PRAJBMU "PRAJBMU - 239616 - Does this distrib..." |
Does this distribution appear normal? If not, is it skewed to the left or to the right? © STATS4STEM.ORG |
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6) Problem #PRAJJ5G "PRAJJ5G - STATS4STEM.ORG" |
As the sample size increase, the t-distribution: © STATS4STEM.ORG |
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