The dotplot shows the heights of 25 students in Mrs. Navard’s statistics class.
1 answer:
Answer:
A)Percentile for Lynette, the student who is 65 in. tall is 36th
B) Asher is 22 inches tall.
Step-by-step explanation:
Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls
A) Find the Percentile for Lynette, the student who is 65 in. tall.
No. of students below 65 inch =9
So, Percentage of data below 65 inch =
So, Percentile for Lynette, the student who is 65 in. tall is 36th
B)Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher
22=x
So, No. of students below or st 88th percentile = 22
So, Asher is 22 inches tall.
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Step-by-step explanation:
The plumber's daily earnings have a mean of $145 per day with a standard deviation of
$16.50.
We want to find the probability that the plumber earns between $135 and
$175 on a given day, if the daily earnings follow a normal distribution.
That is we want to find P(135 <X<175).
Let us convert to z-scores using
This means that:
We simplify to get:
From the standard n normal distribution table,
P(z<1.82)=0.9656
P(z<-0.61)=0.2709
To find the area between the two z-scores, we subtract to obtain:
P(-0.61<z<1.82)=0.9656-0.2709=0.6947
This means that:
The correct choice is C.
Answer:
[0.9 months, 32.69 months]
Step-by-step explanation:
The mean is
The standard deviation is
Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>
Using a spreadsheet we find these values are
a = 0.906
b = 32.694
<h3>(See picture) </h3>and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is
[0.9 months, 32.69 months]
