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aev [14]
3 years ago
15

A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assum

ing the scores are normally distributed, the 99% confidence interval for the population average examination score is _____. a. 70.02 to 81.98 b. 69.82 to 82.18 c. 69.29 to 82.71 d. 70.06 to 81.94
Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

The confidence interval is from 69.82 o 82.18

Step-by-step explanation:

Using this formula X ± Z (s/√n)

Where

X = 76 --------------------------Mean

S = Standard Deviation

If Variance = 144

S = √144

S = 12

n = 25 ----------------------------------Number of observation

Z = 2.576 ------------------------------The chosen Z-value from the confidence table below

Confidence Interval || Z

80%. || 1.282

85% || 1.440

90%. || 1.645

95%. || 1.960

99%. || 2.576

99.5%. || 2.807

99.9%. || 3.291

Substituting these values in the formula

Confidence Interval (CI) = 76 ± 2.576 (12/√25)

CI = 76 ± 2.576(12/5)

CI = 76 ± 2.576(2.4)

CI = 76 ± 6.1824

CI = 76 + 6.1824 ~ 76 - 6.1824

CI = 82.1824 ~ 69.8176

CI = 82.18 ~ 69.82

In other words the confidence interval is from 69.8176 to 82.1824

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Answer:

x=0.4

Step-by-step explanation:

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3 years ago
The Johnson family is taking a car trip. They are driving at an average speed of 60 miles per hour. The graph shows their distan
FromTheMoon [43]
Speed is given by the formula:
speed=distance/ time
this implies that when we rewrite the above formula for distance we shall have:
distance=speed*time
from our question:
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7 0
4 years ago
Read 2 more answers
1. Anike needs a new pair of athletic shoes for her soccer tryouts. The regular price for the shoes is $129.00. There is a sales
yKpoI14uk [10]

Answer:

$150-$129-($129*7%)=$11.97

$531.25

$9414.5

Step-by-step explanation:

The amount that Anike would have left is the budgeted amount minus the regular price as well as the applicable sales tax.

Amount left=$150-$129-($129*7%)=$11.97

The amount that Harper would have to pay is the purchase price of $500 plus the 6.25% of sales price as sales tax i.e $500+$500*6.25%=$531.25

The yearly tax fees is the appraised value multiplied by property tax rate i.e $250,000*3.7658%=$9414.5

The property tax rate is 3.7658% not 37.658%

6 0
4 years ago
If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible valu
katrin [286]

Answer:

the combination of numbers must then be:

9.7 + 8.6 which results to 18.3

9.6 + 8.7 yields 18.3 as well.

5 0
3 years ago
A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s.
Alex777 [14]

Answer:

Sequence = 120

Step-by-step explanation:

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

7 0
3 years ago
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