can you help me with this, please, thanks!!! Section I: Matching. For cach the f

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can you help me with this, please, thanks!!!

Section I: Matching. For cach the following, choose the letter from the list of different statistical tests that indicates what kind of test needs to be performed. DO NOT calculate anything. This is just a matching question. You might use some letters more than once. You might not use certain letters at all a. one sample test, comparing sample mean to hypothesized value one sample test, means: paired differences (paired observations) c. two sample test, testing for differences in means between two groups d. one sample test, comparing sample proportion to hypothesized value e. two sample test, testing for differences in proportions between two groups . (1 pt.)A trucking company is considering installing a new type of air filter in the engines of its fleet of trucks. A test is performed with 10 randomly selected trucks over a specific route, measuring miles per gallon on each truck; one trip with the old filters and one trip with the new air filters. Does the test show that the new filters significantly improve fuel efficiency? A random survey is taken to analyze differences between men and women regarding money spent 2. (1 pt.) on clothing per year. Out of 500 men surveyed, 16.6% answered that they spend more than $1000 per year. Out of 500 women surveyed, only 11.8% responded that they spend more than $1000 per year. Does the sample show a significant difference in annual spending over $1000 between genders? A credit manager claims that the average balance for the store's charge account customers is 3. (1 pt.) S410. An independent auditor randomly selects 18 accounts and finds average balance- $511.33, sample std, dev $183.75. Does the sample show that customer balances on average are significantly higher than the manager claimed? Five celebrities volunteer to demonstrate that alcohol consumption significantly increases 4. (1 pt.) reaction time. Reaction times before and after drinking two alcoholic beverages are recorded for each individual with the following results drinking before drinking 32 seconds 39 .36 41 .37 subject 39 seconds 49 .53 46 Do the sample results confirm the original statement? 5. (1 pt.) A properly operating machine yields no more than 3% defective units. A sample of 400 mt ndomly chosen shows 4.5% defective units. Does the sample show that defects are significantly larger than a properly operating machine?

Explanation / Answer

1.
one sample test, means : paired differences (paired observations)
There are paired data (equal number of samples and dependent), one for old filter and another for new filter. And we are interested in difference of fuel efficiency of paired data.
The data are not independent as the fuel efficiency of each sample depends on the random selected truck.

2.
two sample test, testing for differences in proportions between two groups
We are interested in proportions and the two groups (men and women) are inpendent of each other.

3.
one sample test, comparing sample mean to hypothesized value
There is one sample and interested in whether average customer balances are greater than hypothesized value

4.
one sample test, means : paired differences (paired observations)
The sample data are not independent (they are dependent on subjects) and paired.

5.
one sample test, comparing sample proportion to hypothesized value
There is one sample and interested in whether average proportion of defective units are greater than hypothesized value.

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