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Allisa [31]
1 year ago
9

We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 28.

3 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 28.2 words per minute and a standard deviation of 4 words per minute.
For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.
Mathematics
1 answer:
stellarik [79]1 year ago
5 0

The test statistics based on the information given will be 0.238.

<h3>How to compute the test statistic?</h3>

Population mean = 28.3

Sample mean = 28.2

Standard deviation = 4

Sample size = 90

In this case, the z test will be used since the standard deviation is known. This will be:

= (28.2 - 28.3)/4/✓90

= -0.1/(4/9.48)

= -0.1/0.42

= -0.238

Learn more about hypothesis on:

brainly.com/question/11555274

#SPJ1

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I need answer please​
Assoli18 [71]

It is centered at (h,k) --> (0,0) and has a radius 9

The equation of the circle is

           (x-h)^{2} +(y-k)^{2} =r^{2} \\(x-0)^{2} +(y-0)^{2} =r^{2}\\x^{2} +y^{2} = 9^{2}

Hope that helps!

4 0
2 years ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
AveGali [126]

Answer:

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 15 \ months

   The sample size is  n =  25

   The sample mean is  \= x  = 17 \ months

   The standard deviation is  s = 5.5 \ months

Let assume the level of significance of this test is  \alpha  = 0.05

    The null hypothesis is  H_o :  \mu = 15

     The alternative hypothesis is  H_a : \mu  > 17

Generally the degree of freedom is mathematically represented as  

         df = n -1

=>       df = 25 -1

=>       df = 24

Generally the test statistics is mathematically represented as

        t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }

=>   t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }

=>   t =  1.8182

Generally from the student t distribution table the probability of obtaining   t =  1.8182 to the right of the curve at a degree of freedom of df = 24  is  

    p-value  = P(t > 0.18182 ) = 0.4286

From the value obtained we see that  p-value > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is  supported by the trial results.

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What is the solution set represented by this number line graph​
Maru [420]

Answer:

x ≥ 2

Step-by-step explanation:

The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.

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2 years ago
A bag contains 3 red balls and 6 blue balls. 2 balls are selected at random. Find the probability of selecting 2 red balls.
Gala2k [10]

Answer: You have 1/3 possibility of grabbing 2 red balls.

Step-by-step explanation:

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