A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°F. To test this claim, you randomly select a sample of 32 systems and find the mean activation temperature to be 133°F. Assume the population standard deviation is 3.3°F. At a = 0.10, do you have enough evidence to reject the manufacturer’s claim?

If we compare the p value and the significance level given for example we see that so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

Step-by-step explanation:

Data given and notation      

represent the sample mean

represent the standard deviation for the population      

sample size      

represent the value that we want to test    

represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)      

represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mena is at least 135, the system of hypothesis would be:      

Null hypothesis:      

Alternative hypothesis:      

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:      

(1)      

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

Calculate the P-value      

Since is a one-side lower test the p value would be:      

Conclusion      

If we compare the p value and the significance level given for example we see that so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540