On average people spend 1/4 of the time they sleep in a dream state. If Maxwell slept 10 hours last night, how much time did he
2 answers:
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Answer:
So on this case the 95% confidence interval would be given by (15.641;18.359)
And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
s=1.9 represent the sample standard deviation
n=10 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (15.641;18.359)
And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm
Answer:
The probability of getting someone in the 18-21 age bracket or someone who agreed to respond
Step-by-step explanation:
The counts are as follows
Age Group No of people contacted No of refusals Total
18-21 88 8 96
22-29 240 42 282
Total 328 50 378
The probability of getting some one in the age bracket of 18-21 or some one who refused to respond is