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Bezzdna [24]
2 years ago
11

A survey of 25 grocery stores revealed that the mean price of a gallon of milk was $2.98, with a standard error of $0.10. If 90%

and 95% confidence intervals were developed to estimate the true cost of a gallon of milk, what similarities would they have?
A. Both use the same t statistic
B. Both have the same confidence level
C. Both use the same z statisticD. Both use the same point estimate of the population mean
Mathematics
1 answer:
Hoochie [10]2 years ago
7 0

Answer:

Option D) Both use the same point estimate of the population mean      

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $2.98

Standard error = $0.10

Sample size, n = 25

Confidence interval:  

\bar{x} \pm t_{critical}(\text{Standard Error})

90% and 95% confidence intervals

  • The confidence level is not same.
  • Since the confidence level are not same they cannot have the same z statistic or t statistic.

Thus, the correct answer is:

Option D) Both use the same point estimate of the population mean

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oksian1 [2.3K]

Given :-

  • a² - 2a - b² = 0
  • 2b + 2ab = 0

To find :-

  • Value of a and b .

Solution :-

<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>

  • 2b + 2ab = 0
  • 2b ( 1 + a ) = 0
  • 2b = 0 or (1+a) = 0
  • b = 0 , a = -1

<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>

  • a² - 2a - b² = 0

<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>

  • a² - 2a - 0² = 0
  • a² - a = 0
  • a( a -1) =0
  • a = 0 , 1

<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>

  • (-1)² - 2*(-1) - b² = 0
  • 1 + 2 - b² = 0
  • b² = 3
  • b = ±√3

<u>Answer </u><u>:</u><u>-</u><u> </u>

  • a = 0,1 ; b = 0
  • a = -1 , b = ±√3
8 0
2 years ago
2x &lt; - x + 20 + 7 I don't get how to answer this question
dimulka [17.4K]

ANSWER

X < 9

Solve

2x < - x + 20 + 7

2x < - x + 27 change the signs

2x + x < 27 add the like terms

3x < 27 divide by 3

x < 9

6 0
3 years ago
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Ivenika [448]

Answer:

40 degrees

Step-by-step explanation:

The sum of the angles is 180.

A 100 degree angle cannot be a base angle because then

the sum of the base angles would be 200 degrees.

The 100 must be the vertex angle.

Equation:

x + x + 100 = 180

2x = 80

x = 40 degrees.

Each of the base angles is 40 degrees.

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2 years ago
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A. What three numbers could possibly be on his uniform.
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C. Frank has a 30 on his uniform. The number is a multiple of 10 and one factor of the number is 3.
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Curve it to get the answe than radical it to get the second number
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