Assuming mileage are normally distributed, can you conclude that the use of the gasoline additive increases mileage at the 2.5% significance level?
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The manufacturer of a gasoline additive claims that the use of this additive increases’
gasoline mileage. A random sample of 6 cars was selected, and these cars were driven
for one week without the gasoline additive and then for one week with the additive.
The following table gives the mileage (in miles per gallon) for these cars with and
without the additive:
| car | 1 | 2 | 3 | 4 | 5 | 6 |
| mileage without additive | 24.6 | 28.3 | 18.9 | 23.7 | 15.4 | 29.5 |
| mileage with additive | 26.3 | 31.7 | 18.2 | 25.3 | 18.3 | 30.9 |
Assuming mileage are
gasoline additive increases mileage at the 2.5% significance level?
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- 31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha=0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Car Without additive 25.5 27.7 19.5 22.4 9.9 21.1 13.1 26.7 20.6 24.9 With additive 25.7 28.6 21.4 25.7 13.4 21.7 14.6 30 23 26.5
- 31% of all pygmy softshell tortoises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha = 0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that the meals do not contain the advertised amount of protein? Run the appropriate test at a 5% level ofA local dairy conducted taste tests of their nonfat and low fat cream cheese spreads at three supermarkets on one Saturday. They asked people to compare a cracker with their low fat spread on it and another cracker with the nationally known brand of the same type of spread. At one supermarket, everyone who came to the testing table, located just inside by the front door, and asked to participate was included. At a second market, only people who appeared to be older teenagers and adults were allowed to participate. The testing table was in the section of the store where paper goods are sold. At the third store, the testing table was in the dairy section and everyone who was asked to participate was included. However, they ran out of one of the products and had to stop the test three hours earlier than they planned. The table below shows how many people were tested at each location and their stated preferences Store A Store B Store C Number tasters = 258Number preferring local brand…
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