Max is 6 years older than his brother. If Max is M years old, then his brother is ___

Think about a population mean that you may be interested in and propose a hypothesis test problem for this parameter. Gather app

Sunny_sXe [5.5K]

Answer:

There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Step-by-step explanation:

From the question we are told that

The population mean is less than 1.5

The sample size is n = 7

The sample data is 2, 0, 1, 5, 0, 2, and 3

Generally the sample mean is mathematically represented as

$\= x = \frac{ \sum x_i }{ n }$

=> $\= x = \frac{ 2 + 0 + 1 + 5 + 0 + 2 + 3 }{ 7 }$

=> $\= x = 1.857$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (2 - 1.857)^2 + (0 - 1.857)^2 +\cdots (3 - 1.857)^2}{7} }$

=> $\sigma = 1.773$

The null hypothesis is $H_o : \mu = 1.5$

The alternative hypothesis is $H_a : \mu < 1.5$

Generally the test statistics is mathematically represented as

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

=> $z = \frac{\= x - 1.857 }{ \frac{1.773 }{\sqrt{7} } }$

=> $z = 0.53$

Generally the p-value is mathematically represented as

$p-value = P(z < 0.53 )$

From the z-table

$P(z < 0.53 ) = 0.70194$

So

$p-value = 0.70194$

From the values obtained we see that $p-value > 0.05$

Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

7 0

3 years ago

A number added to 12 and then subtracted by 18 equals 26. What is the number

tiny-mole [99]

The answer would be 32. take your 26 and add 18 then subtract 12. then rework it forward if you don't understand.

4 0

3 years ago

Read 2 more answers

An ice cream stand offers single-scoop waffle-cones or bowls. Three flavors are available: strawberry, chocolate, and vanilla. H

Otrada [13]

ANSWER:

6

STEP-BY-STEP EXPLANATION:

We have two toppings, the first is the ice cream container where there are two options and the second is the ice cream flavor where there are a total of three options.

Therefore, the number of possible ways to order ice cream would be:

$\begin{gathered} p=2\cdot3 \\ \\ p=6 \end{gathered}$

There are a total of 6 ways to order an ice cream

4 0

1 year ago

Find the area of the triangle whose vertices are (0,4) , (0,0) and (2,0) by plotting them on graph

Luden [163]

Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

$A = \cfrac{\overline{AB}\times\overline{AC}}{2}$

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

$\overline{AB} = |2-0| = |2| = 2$