1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sav [38]
3 years ago
8

US average math SAT scores follow a normal distribution with a mean of 505 and a standard deviation of 112. A sample of 64 enter

ing Univ. of TN students revealed an average score of 477. Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.
Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0

Answer:

The claim that the scores of UT students are less than the US average is wrong

Step-by-step explanation:

Given : Sample size = 64

           Standard deviation = 112

           Mean = 505

           Average score = 477

To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.

Solution:

Sample size = 64

n > 30

So we will use z test

H_0:\mu \geq 477\\H_a:\mu < 477

Formula : z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

z=\frac{505-477}{\frac{112}{\sqrt{64}}}

z=2

Refer the z table for p value

p value = 0.9772

α=0.05

p value > α

So, we accept the null hypothesis

Hence The claim that the scores of UT students are less than the US average is wrong

You might be interested in
Construct a​ 95% confidence interval for the population standard deviation sigma of a random sample of 15 crates which have a me
Ad libitum [116K]

Answer:

There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

Step-by-step explanation:

Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96. z_{\frac{\alpha}{2} }=1.96

The margin of error (E) is given by:

E=z_{\frac{\alpha}{2} }\frac{\sigma}{\sqrt{n} } =1.96*\frac{12.4}{\sqrt{15} }= 6.28

The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)

The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds

4 0
2 years ago
Simplify the ratio 19:114
masha68 [24]
19:114 =  \frac{19}{114} ÷ \frac{19}{19} =  \frac{1}{6} = 1:6 \ \textless \ -answer
8 0
3 years ago
50 POINTS!!!!!!!!<br> ANSWER PLEASE
maxonik [38]

Answer:

3

15

Step-by-step explanation:

15 is the number that forms the ratio 3/7 of 35

follow the column up until the row 3

3 0
3 years ago
Read 2 more answers
Would 45% of 160 be greater than or less than 80?
Nadusha1986 [10]
45% is less than 80. The actual answer is 72. Hope that helps :)
4 0
3 years ago
Write equivalent fractions for 1 2/3 and 1 7/8 using 24 as the common denominator 2 24 7 1 0​
NARA [144]

<u>Answer:</u>

<u />

2×8=16

7×3=21

2/3 + 7/8 = 16/24 + 21/24

7 0
2 years ago
Other questions:
  • The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the
    5·1 answer
  • Write using algebra.
    10·2 answers
  • Come up with a scenario that explains why hours (hours for what?) goes down with time. It can be short, just a couple sentences
    8·1 answer
  • Help! I cant solve this
    11·2 answers
  • Moles are rodents very similar to mice. They typically live underground, spending most of their lives below the earth's surface.
    11·1 answer
  • Based on the table of values below, find the slope between points where x = 2 and
    14·2 answers
  • What is the name of an angle that is formed by one side of a triangle and the extension of an adjacent side?
    13·2 answers
  • Help please, Please Help.
    6·2 answers
  • A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of $0.47. A bra
    5·1 answer
  • Ms. Nailor's daughter received $25
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!