Deborah needs to make 16 costumes for the school play. Each costume requires 2 and 1/4 yards of material. How many yards of mate
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Answer:
95% confidence interval for the mean time spent studying for the final exam for students taking introductory psychology at this university is [6.85 hours, 7.43 hours].
Step-by-step explanation:
We are given that a sample of 471 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.14 hours and the standard deviation of study times was 3.20 hours.
Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;
P.Q. = ~ N(0,1)
where, = sample mean time spent studying for the exam = 7.14 hours
= population standard deviation = 3.20 minutes
n = sample of undergraduate students = 471
= population mean time
<em>Here for constructing 95% confidence interval we have used One-sample z test statistics.</em>
<u>So, 95% confidence interval for the population mean, </u><u> is ;</u>
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 < < 1.96) = 0.95
P( <
<
) = 0.95
P( <
<
) = 0.95
<u>95% confidence interval for</u> = [
,
]
= [ ,
]
= [6.85 hours , 7.43 hours]
Therefore, 95% confidence interval for the mean time spent studying for the final exam for students taking introductory psychology at this university is [6.85 hours, 7.43 hours].
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Number of colors that the arrow can land on = 8
We need to find the degrees of freedom for a goodness of fit test of the fairness of this spinner.
As we know that degree of freedom is 1 less than the size of sample.
So, Mathematically, it is expressed as below:
So, Degree of freedom would be
Hence, Option 'c' is correct.