A study conducted to measure the academic performance and attention span of teenagers reported that the mean time to distraction for 80 teenage boys working on an independent task was 6.2 min in the study with a sample standard deviation of 2.1 minutes. Is there convincing evidence that the average attention span for teenage boys is more than 5 minutes

we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes

Step-by-step explanation:

H0 : μ ≤ 5

H1 : μ > 5

Sample mean, xbar = 6.2

Sample Standard deviation, s = 2.1

Sample size, n = 80

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(6.2 - 5) ÷ (2.1 / sqrt(80))

1.2 ÷ 0.2347871

Test statistic = 5.1110133

Testing with α = 0.05

Using Pvalue from a test score calculator :

Pvalue = < 0.00001

0.00001 < 0.05

Since,

Pvalue < α ; We reject H0

Hence, we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

can i see the following ?

step-by-step explanation: