What is the answer in scientific notation
1 answer:
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Answer:
The p value can be founded with this formula:
Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor
Step-by-step explanation:
Information given
represent the mean for Gibbs products
represent the mean for the competitor
represent the population standard deviation for Gibbs
represent the sample standard deviation for the competitor
sample size for the group Gibbs
sample size for the group competitor
Significance level provided
z would represent the statistic
Hypothesis to verify
We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The p value can be founded with this formula:
Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor
4.
The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:
Simplify the exponent:
Cross multiply:
Divide 9 to both sides:
So the surface area of the second solid is 54 square meters.
The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:
Simplify the exponent:
Cross multiply:
Divide 64 to both sides:
5.
A globe is a sphere, use the formula for the volume of a sphere:
The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:
Simplify the exponent:
Multiply:
The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:
Simplify the exponent:
Cross multiply:
Divide 9 to both sides:
So the surface area of the second solid is 54 square meters.
The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:
Simplify the exponent:
Cross multiply:
Divide 64 to both sides:
5.
A globe is a sphere, use the formula for the volume of a sphere:
The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:
Simplify the exponent:
Multiply: