68 less than 5 times a number is equal to the number. What is the number?

PLS HELP ME WITH 5, 6, and 7 (SHOW WORK!!) + LOTS OF POINTS!

melisa1 [442]

Number 5 is c, number 6 is 'a'

7 0

3 years ago

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

a

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

b

$F_{critical} = 1.8608$

c

$F = 2.9085$

d

The decision rule is

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is

$F_{critical} = 1.8608$

Generally the test statistics is mathematically represented as

$F = \frac{s_1^2 }{s_2^2}$

=> $F = \frac{8324 }{2862}$

=> $F = 2.9085$

Generally from the value obtained we see that $F > F_{critical }$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to support the researchers claim

4 0

3 years ago

The calculation of the mean of a population and the expected value of the probability mass function of a Random Variable (RV) ar

Zanzabum

Answer: Hello the options related to your question is missing attached below are the missing options.

A.) The probabilities of the RVs may be equal

B.) The sum of the probabilities of the RVs exceed 1

C.) This is an impossible occurrence

D.) The probabilities of the RVs must be equal

E.) None of the above

answer:

The probabilities of the RVs may be equal ( A )

Step-by-step explanation:

Given that the value of the population mean and the value of probability mass function of a set of random variables are similar

For the Random Variables : 100,200,300,400

The Probability mass function of RV = ( 100 + 200 + 300 + 400 ) / 4

Hence The probabilities of the RVs may be equal

3 0

3 years ago

which is a statistical question? A. how old is harvey? B. what did oliver eat for dinner last night ? C. how many hours a day do

andreyandreev [35.5K]

Answer:

i think it is c because its a complete question and sentence if im wrong tell me ( ;

brainlyest would be nice btw ( ;

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Give the area of a rectangle that has a length of 8 and a width of 9.

frez [133]

Answer:

72

Step-by-step explanation:

L × W = A
8 × 9 = A
8 × 9 = 72

I hope this helps!

6 0

3 years ago