What is 1,383,200 in scientific notation
1 answer:
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Answer:
Area of the counter top is .
Step-by-step explanation:
Given:
Length of the Counter top = 18 feet
Width of the counter top = 3 feet
We need to find the area of the counter top is square meter;
Solution:
Now we need to find the area of the counter top is square meter.
But given data is in feet so we will first convert feet into meters.
1 foot = 0.305 meter.
So 18 feet = Number of meters in 18 feet.
By Using Unitary method we get;
Number of meters in 18 feet =
Length of the Counter top = 5.49 m
Also 3 feet = Number of meters in 3 feet.
Again Using Unitary method we get;
Number of meters in 3 feet =
Width of the counter top = 0.915 m
Now we know that;
Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.
framing in equation form we get;
Area of the counter top =
Rounding up to 2 decimals we get;
Area of the counter top =
Hence Area of the counter top is .
Answer:
Comparing the p value with a significance level for example we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true means are not significantly different.
Step-by-step explanation:
Data given and notation
represent the mean for A
represent the mean for B
represent the sample standard deviation for A
represent the sample standard deviation for B
sample size for the group A
sample size for the group B
Significance level provided
t would represent the statistic (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to check if the means are equal or not, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't have the population standard deviation's but we assume that the population deviation is equal for both populations, so we can apply a t test to compare means, and the statistic is given by:
(1)
Where represent the standard deviation pooled given by:
t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
With the info given we can replace in formula (1) like this:
P value
We need to find first the degrees of freedom given by:
Since is a two tailed test the p value would be:
Comparing the p value with a significance level for example we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true means are not significantly different.