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Sati [7]
3 years ago
5

When testing a hypothesis about a single mean, if the sample size is 51 and the population standard deviation is known, the corr

ect test statistic to use is ___________.
Mathematics
1 answer:
choli [55]3 years ago
6 0

Answer:

z-statistic

Step-by-step explanation:

We have to identify the correct test statistic to use with the given conditions.

  • If the sample size is larger than 30, then the sample is considered to be large.
  • We are given a sample size of 51, which is a a large sample.
  • Also, the population standard deviation is known.
  • Thus, we use the z-statistic when testing a hypothesis about a single mean.
  • Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

where \bar{x} is the sample mean, \mu is the population mean, \sigma is the population standard deviation and n is the sample size.

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X2 – 4x – 5 = 0 answer in quadratic form
juin [17]

(x - 5)(x + 1) = 0 \\ x - 5 = 0 \\ x = 5 \\ x + 1 = 0 \\ x =  - 1
4 0
3 years ago
A fair coin is tossed three times and is tails each time. What is the probability that the next toss will be
Sergio [31]

The probability that the next toss will be heads is 1/8.

<h3>What is probability?</h3>

The likelihood of an event occurring is described by probability. We frequently have to make forecasts about the future in real life. We may or may not be aware of the outcome of an event. When this happens, we declare that there is a chance the event will take place.

Using the probability formula, one can determine the likelihood of an event by dividing the favorable number of possibilities by the total number of options. Since the favorable number of outcomes can never be greater than the entire number of outcomes, the probability of an event happening can range from 0 to 1.

Probability of getting two tails and next heads in three tosses is,

=1/2*1/2*1/2

=1/8

Learn more about probability here:

brainly.com/question/24756209

#SPJ1

4 0
2 years ago
2. A university admitted 100 students who transferred from other institutions. Of these students, 34 transferred from two-year c
antoniya [11.8K]

Answer:

So probability will be 0.34

Step-by-step explanation:

We have given that a university admitted 100 students

In which 34 students are from two year community program

25 students are from private four year institution

And rest that is 100-34-25 = 41 students from public four year institutions

Number of ways for selecting two students from two year community program that is, from 34 students

=^{34}C_2

And the number of ways in selecting the 2 students from total student =^{100}C_2

So probability will be P=\frac{^{34}C_2}{^{100}C_2}=\frac{17}{50}=0.34

8 0
4 years ago
I need help with this!
7nadin3 [17]

Answers:

  1. False
  2. True
  3. True
  4. False
  5. True
  6. False

===============================================

Explanations:

  1. If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false.
  2. This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.
  3. This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.
  4. This is false. Any repeating decimal can be converted to a fraction through a bit of work. It turns out that 17.979797... = 1780/99 which makes the value to be rational.
  5. Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.
  6. This statement is false because we found true statements earlier.

4 0
3 years ago
4) A (3,6) B (7,2) what is the bisector
xxMikexx [17]
The bisector should be (5,4)
4 0
3 years ago
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