Final answer:
The question regarding the mean distribution of insurance premiums for California residents is incomplete and cannot be answered without additional context. To accurately assess such a claim, one would conduct a statistical hypothesis test using a sample of California insurance premiums.
Step-by-step explanation:
The student's question about whether the distribution of insurance premiums for residents of California is approximately with a mean of $1650 appears to be incomplete or missing important context. Without additional information, such as the shape of the distribution or the source of the data, one cannot accurately determine the truth of the statement. However, if this statement is in question, one could potentially investigate it using statistical methods.
For example, in statistical hypothesis testing, a claim about a population mean can be tested using the appropriate statistical test, such as a t-test or z-test, depending on the sample size and known parameters. To test such a claim, you would need a sample of insurance premiums from California residents and then calculate the sample mean and standard deviation. Using this information, you could conduct the test at a certain significance level to determine if there is enough evidence to support or refute the claim about the mean insurance premium.