If triangle ABC is isosceles and triangle DBE is equilateral what is the measure of angle C
1 answer:
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a. percent of pig pregnancies that are longer than 106 days
Since we have a normal distribution here and the average number of days is 106, we can say that 50% of the pig pregnancies are longer than 106 days.
b. percent of pig pregnancies that are shorter than 111 days
To get the percentage, we will have to convert x = 111 days into a z-score first. The formula is:
where x = raw data, μ = population mean, and σ = population SD.
Since these 3 pieces of information are already given in the question, let's plug them into the equation above.
Therefore, 111 days is located 1 standard deviation to the right of the mean.
To find the percentage of pig pregnancies shorter than 111 days, we need to find the area covered to the left of 1 SD.
To find the area covered to the left of 1SD, we need to use the standard normal distribution table.
Based on the table, the area covered to the left of 1SD is 0.8413. Multiplying the area by 100, we get 84.13. Therefore, 84.13% of the pig pregnancies are shorter than 111 days.
Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIl to reject the null hypothesis and we can conclude that the true mean is not significantly different between the two types of battery
Step-by-step explanation:
Information given
Battery 1 106 111 109 105
Battery 2 125 103 121 118
We can calculate the mean and the deviation with the following formulas"
represent the mean for the Battery 1
represent the mean for the Bettery 2
represent the sample standard deviation for the Battery 1
represent the sample standard deviation for the battery 2
sample size selected for the Battery 1
sample size selected for the Battery 2
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We want to check if the difference in longevity between the two batteries, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
The statistic is given by:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIl to reject the null hypothesis and we can conclude that the true mean is not significantly different between the two types of battery