Final answer:
The null hypothesis states that the mean price of a typical Corolla sold by the dealer is equal to $10000. The alternative hypothesis states that the mean price is not equal to $10000. To test these hypotheses, perform a hypothesis test using the weight variable in the dataset and calculate the sample mean and standard deviation. Use a t-test or z-test to determine the p-value and compare it to the significance level to make a conclusion.
Step-by-step explanation:
The null and alternative hypotheses can be written as follows:
Null hypothesis (H0): The mean price of a typical Corolla sold by the dealer is equal to $10000.
Alternative hypothesis (Ha): The mean price of a typical Corolla sold by the dealer is not equal to $10000.
To test these hypotheses, you will need to perform a hypothesis test using the weight variable in the dataset. You can calculate the sample mean and sample standard deviation from the dataset, and then use a t-test or z-test to determine the p-value.
If the p-value is less than the chosen significance level (usually 0.05), you would reject the null hypothesis and conclude that there is evidence to support the claim that the mean price is not equal to $10000. If the p-value is greater than the significance level, you would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim.