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Oxana [17]
2 years ago
5

For a lower tail hypothesis test with a sample size of 10 and a .10 level of significance, the critical value of the test statis

tic t is
Mathematics
1 answer:
Fynjy0 [20]2 years ago
5 0

Using a t-distribution calculator, it is found that the critical value of the test statistic t is t^{\ast} = -1.383.

<h3>How to find the critical value of a t-test?</h3>
  • The critical value is found using a calculator.

The inputs are:

  • The tail.
  • The amount of degrees of freedom, which is one less than the sample size.
  • The significance level.

In this problem, we have a<u> lower(left-tailed) test, with 10 - 1 = 9 df and a level of significance of 0.1</u>, hence the critical value is t^{\ast} = -1.383.

You can learn more about the t-distribution at brainly.com/question/26062194

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The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

6 0
2 years ago
Hal says the volume of the sphere shown below 36 cm3. Find the correct volume, using 3.14 for pi. Round to the nearest hundredth
adelina 88 [10]

Answer:

Volume of sphere is 35.98cm^3

Step-by-step explanation:

It is given that Hal says that volume of sphere is 36cm^3

Volume of sphere is given by V=\frac{4}{3}\pi r^3

\frac{4}{3}\pi r^3=36

\pi r^3=27

r^3=8.594

r=2.048cm

Now using 3.14 in place of \pi

Now volume of sphere is

V=\frac{4}{3}\times 3.14\times 2.048^3

V=35.98cm^3

Therefore volume of sphere when we use 3.14 in place of \pi is 35.98cm^3

And the Hal likely error is he uses \pi directly for calculation of volume.

7 0
3 years ago
What is the measure of an angle that turns through 3/4 of a complete circle
ANEK [815]
270 degrees this because when you count each angle it is 90 degrees then 180 degrees then 270 
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3 years ago
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Mr. Toshio lent out 11 rulers at the beginning of class, collected 4 rulers in the middle of class, and gave out 7 at the end of
Drupady [299]
Mr. Toshio had 32 rulers. 32-11 = 21 rulers. 21+4 = 25 rulers. and 25-7 = 18 rulers
8 0
3 years ago
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What is the probability that a 13-card bridge hand contains all cards from the same suit?
slega [8]
The total number of 13-card hands that can be dealt is 52C13. Four of these are of the same suit. Therefore the required probability is given by:
\frac{4}{52C13}= 6.3\times 10^{-12}
4 0
3 years ago
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