A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming the population standard deviation is known to be 1.6cm, use a 0.05 significance level to test the claim that the mean circumference is equal to 39.9 cm.

We conclude that the population mean circumference is different from 39.9 cm.

Step-by-step explanation:

We are given that a random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm and assuming the population standard deviation is known to be 1.6 cm.

Let Null Hypothesis, : = 39.9 cm {where = population mean circumference}

Alternate Hypothesis, : 39.9 cm

The test statistics we will use here is;

      T.S. = ~ N(0,1)

where, Xbar = sample mean circumference = 40.5 cm

                 = population standard deviation = 1.6 cm

                n  = sample of pumpkins = 100

So, test statistics  =

                              =  3.75

Now, at 0.05 significance level z table gives critical value of 1.96. Since our test statistics is more than the critical value of z which means test statistics will lie in the rejection region, so we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the population mean circumference is different from 39.9 cm .

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

idk

step-by-step explanation:

i don't know