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slega [8]
3 years ago
12

A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The

mean and standard deviation of their scores were 75.1 and 12.8, respectively. In a random sample of 50 students who only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6, respectively In order to test the equal variance assumption for two populations, Can we assume population variances are equal at the 10% significance level? (sigma subscript 1 superscript 2 space equals space sigma subscript 2 superscript 2 )
Mathematics
1 answer:
disa [49]3 years ago
5 0

Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

H0: σ₁²= σ₂² against Ha: σ₁² ≠ σ₂²

Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ±  5.09

=-2.09, 8.09  is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

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Does the point (-1,-4) lie on the line y = 5 - X?
Arisa [49]
No

X+y=5
It wouldn’t work
5 0
2 years ago
A cricket team won 60% of the total matches it played during the year. If it lost 24 matches in all and no matches were drawn, f
posledela

it lost 100 - 60 = 40% of its games ( = 0.40)

Total games played = 24 / 0.40 = 60 answer

7 0
3 years ago
to communication companies offer calling plans with company X it cost $0.35 to connect and then $0.05 for each minute with compa
Mama L [17]

Answer:

X Company charges (0.2+0.01n)\times 10^2 \ cents more than Company Y

Step-by-step explanation:

Given:

Cost of X company = \$ 0.35+(\$0.05\times 1 \ minute)

Cost of Y Company =\$ 0.15+(\$0.04\times 1 \ minute)

for n minutes

Cost of X company for n minutes = \$ 0.35+(\$0.05\times n \ minute)

Cost of Y Company for n minutes =\$ 0.15+(\$0.04\times n \ minute)

Difference for n minutes we get by Subtracting Cost of Y Company for n minutes by Cost of X company for n minutes

Difference for n minutes = (\$ 0.2+\$ 0.01n)=(0.2+0.01n)\times 10^2 \ cents

X Company charges (0.2+0.01n)\times 10^2 \ cents more than Company Y

6 0
2 years ago
What is 39 44/55 round to the nearest ten?
muminat
<span> 0.8  that for the 44/55 idk what u want me to do with the 39

here how 2 turn them into decimals 
</span>

The fraction bar means "divided by." So finding the decimal equivalent of a fraction such as 1/4 means 1 divided by 4.
1 ÷ 4 = 0.25

It is not necessary to reduce a fraction before you convert it to a decimal but doing so might make the long division easier if you are doing it by hand.

For example, 9/12 = 9 ÷ 12 = 0.75. If you solve this with a calculator then it is easy to get the answer. However, if you use long division to solve this problem by hand or in your head, reducing 9/12 = 3/4, may make the problem easier. You may even recognize that 3/4 = 0.75 because 3 quarters equals 75 cents.



cited from -http://www.calculatorsoup.com/calculators/math/fraction-to-decimal-calculator.php

4 0
3 years ago
Zara has forgotten her 4-digit PIN code.
djverab [1.8K]
800 different sets of digits


Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
4 0
2 years ago
Read 2 more answers
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