Question

In: Statistics and Probability

Suppose you start up a company that has developed a drug that is supposed to increase...

Suppose you start up a company that has developed a drug that is supposed to increase IQ. You know that the standard deviation of IQ in the general population is 15. You test your drug on 36 patients and obtain a mean IQ of 102.96. Using an alpha value of 0.05, is this IQ significantly different than the population mean of 100? (Two Tailed)

  1. State Null and Alternate Hypotheses.
  2. Apply test.
  3. Write your conclusion using critical value approach and p value approach.
  4. Construct a 95% confidence interval to estimate the population mean.  Write and justify your conclusion.

Solutions

Expert Solution


Related Solutions

Suppose you start up a company that has the developed a drug that is supposed to...
Suppose you start up a company that has the developed a drug that is supposed to increase IQ.   You know that the standard deviation of IQ in the general population is 45. You test your drugs on 36 patients and obtain I mean IQ of 103. Using a alpha value of 0.05, is this IQ significantly different from the population mean of 100?
A major oil company has developed a new gasoline additive that is supposed to increase mileage....
A 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? Let d=(gas mileage with additive)−(gas mileage without additive)d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05α=0.05 for the...
A major oil company has developed a new gasoline additive that is supposed to increase mileage.
  A 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? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05 for the test. Assume that the gas...
A major oil company has developed a new gasoline additive that is supposed to increase mileage.
A 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? Let d=(gas mileage with additive)−(gas mileage without additive)). Use a significance level of α=0.1 for the test. Assume that the gas mileages...
A major oil company has developed a new gasoline additive that is supposed to increase mileage....
A 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? Let d=(gas mileage with additive)−(gas mileage without additive)d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.01 for the...
A major oil company has developed a new gasoline additive that is supposed to increase mileage....
A 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? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05 for the test. Assume that the gas mileages...
A major oil company has developed a new gasoline additive that is supposed to increase mileage....
A 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? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05 for the test. Assume that the gas mileages...
A major oil company has developed a new gasoline additive that is supposed to increase mileage....
A 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? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05 for the test. Assume that the gas mileages...
A major oil company has developed a new gasoline additive that is supposed to increase mileage....
A 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? Let d=(gas mileage with additive)−(gas mileage without additive) Use a significance level of α=0.05 for the test. Assume that the gas mileages...
A major oil company has developed a new gasoline additive that is supposed to increase mileage....
A 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? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05 for the test. Assume that the gas mileages...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT