The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20
1 answer:
Answer:
a) Null and alternative hypothesis
b) Point estimate d = -$78
c) Test statistic t = -2.438
P-value = 0.0113
Reject H0. This indicates that the average automobile premium in Pennsylvania is lower than in the nation.
Step-by-step breakdown:
This is a statistical test for the average population mean.
The hypothesis posits that car insurance in Pennsylvania is notably less expensive compared to the national average.
Accordingly, the null and alternative hypotheses are:
The significance level is set at 0.05.
The sample size is n=25.
The sample mean equates to M=1425.
A point estimate of the difference between the Pennsylvania mean premium and the national average can be computed using the sample mean:
Given that the standard deviation of the population is unknown, we approximate it using the sample standard deviation, which is s=160.
The estimated standard error of the mean is determined with the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size stand at:
This constitutes a left-tailed test, with 24 degrees of freedom and t=-2.438, rendering the P-value as (per a t-table):
As the P-value (0.0113) falls below the significance level (0.05), the results prove significant.
Thus, the null hypothesis obtains dismissal.
At a 0.05 significance level, there's sufficient evidence to assert that car insurance in Pennsylvania costs notably less than the national average.
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Please refer to the attachment.
The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.
Explanation
This can be simplified as follows:
- 10 times a given quantity of _____ hundreds results in 60 hundreds
- 60 hundreds convert to _____ thousands
We will divide this into two segments:
... Equation-1
... Equation-2
This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.
Initially, let's focus on Equation-1.
We will move the variable M to one side of the equation in order to isolate it and solve for its value.
Both parts will be divided by 1,000, essentially being multiplied by .
Thus, we conclude with
Next, we process Equation-2 to derive M's value.
Rearranging this equation to place M on the left side appears as follows:
Again, both sides undergo division by 1,000, which translates to multiplication by .
This results in
- - - - - - -
Alternative approach for the second step:
60 hundreds equals to __ thousands
Additional resources
- A more detailed version of this topic
- 2 thousands 7 tens divided by 10 equals what?
- 100 is equivalent to 1/10 of which number?
Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange
