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zimovet [89]
3 years ago
13

In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older

individuals. In order to determine whether there has been an increase in the average age of all the employees, a sample of 61 employees was selected. The average age in the sample was 45 years with a sample standard deviation of 16 years. Let  = .05. Using the critical value and the p-value approaches, test to determine whether or not the mean age of all employees is significantly more than 40 years.
Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

Step-by-step explanation:

In the past, mean of age of employees

i.e. \mu = 40

Recently sample was taken

n = sample size = 60

Mean of sample = 45

Std dev of sample s = 16

H_0: \bar x = 40\\H_a: \bar x >40

(Right tailed test)

Since only population std deviation is known we can use t test only

Std error = \frac{s}{\sqrt{n} } \\=\frac{16}{\sqrt{61} } \\=2.049

Mean difference = 45-40 =5

Test statistic t=\frac{5}{2.049} \\=2.441

df = 60

p value =0.008739

Since p < 0.05 we reject null hypothesis

The mean age has increased.

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3 years ago
4. Find the value of x &amp; y from the following equation 4x+5y=90, x+y=20 a. 10, 15 b. 10, 5 c. 10, 8 d. 10, 10​
ira [324]

An equation is formed of two equal expressions. In the two of the given equations, the value of x and y are 10 and 10, respectively. The correct option is D.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two of the equation, which can be named as,

4x+5y=90   ...... equation 1

x+y=20   ............ equation 2

Solve the second equation for x,

x + y = 20

x = 20 - y ................ equation 3

In the first equation substitute the value of x from the third equation,

4x + 5y = 90

4(20 - y) + 5y = 90

Solving the equation for y,

80 - 4y + 5y = 90

y = 90 - 80

y = 10

Substitute the value of y in the second equation, to get the value of x,

x + y = 20

x + 10 = 20

x = 20 - 10

x = 10

Hence, In the two of the given equations, the value of x and y are 10 and 10, respectively.

Learn more about Equation here:

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3 0
1 year ago
Read 2 more answers
Please help don’t understand
yarga [219]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
Suppose there is a 20% chance of rain on Monday and a 40% chance of rain on Tuesday. Assuming the weather on successive days is
nadya68 [22]

Answer:

a. 52%

b. 40%

Step-by-step explanation:

Let A represents the event of raining on Monday and B represents the event of raining in Tuesday,

Then according to the question,

P(A) = 20% = 0.2,

P(B) = 40% = 0.4,

Here, A and B are independent events,

So, P(A∩B) = P(A) × P(B),

⇒ P(A∩B) = 0.2 × 0.4 = 0.08

We know that,

P(A∪B) = P(A) + P(B) - P(A∩B)

a. The probability it rains on Monday or Tuesday, P(A∪B) = 0.2 + 0.4 - 0.08

= 0.52

= 52%

b. The conditional probability it rains on Tuesday given that it rained on Monday,

P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)} = \frac{0.08}{0.2}=0.4 = 40\%

4 0
3 years ago
PLEASE HELP ME OUT! <br><br> 25 cm = ______ mm<br><br> 15 g = ______ mg
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Answer:

i think for the first one i think it would be 250mm

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Step-by-step explanation:

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