g You believe that the mean life is actually less than the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample and obtain the following information: the sample mean is 98.5, the standard error of the mean is 0.777 and the number of observations is 20. What can you conclude:

The mean life is actually less than the 100 hours the company claims.

Step-by-step explanation:

In this case we need to test whether the mean life is actually less than the 100 hours the company claims.

The information provided is:

The hypothesis for the test can be defined as follows:

H₀: The mean life 100 hours, i.e. μ = 100.

Hₐ: The mean life is actually less than the 100 hours, i.e. μ < 100.

Assume the significance level as 5%.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

Compute the p-value of the test as follows:

*Use a t-table.

Thus, the p-value of the test is 0.034.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.034 < α = 0.05

The null hypothesis will be rejected at 5% level of significance.

Thus, concluding that the mean life is actually less than the 100 hours the company claims.

answer: asdfghjkl,mnbv

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional