An industrial company claims that the mean pH level of the water in a nearby river is 6.8. You randomly select 29 water samples and measure the pH of each. The sample mean and standard deviation are 6.7 and 0.35, respectively. Is there enough evidence to reject the company’s claim at the α = 0.05 level of significance?

No, there is not enough evidence to reject the company’s claim at the α = 0.05 level of significance.

Step-by-step explanation:

We are given that an industrial company claims that the mean pH level of the water in a nearby river is 6.8.

You randomly select 29 water samples and measure the pH of each. The sample mean and standard deviation are 6.7 and 0.35, respectively.

Let = mean pH level of the water in a nearby river.

SO, Null Hypothesis, : = 6.8   {means that the mean pH level of the water in a nearby river is 6.8}

Alternate Hypothesis, : 6.8   {means that the mean pH level of the water in a nearby river is different from 6.8}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

                        T.S.  =  ~

where,  = sample mean pH level = 6.7

             s = sample standard deviation = 0.35

             n = sample of water = 29

So, test statistics  =     ~

                               =  -1.539

Now at 0.05 significance level, the t table gives critical values of -2.048 and 2.048 at 28 degree of freedom for two-tailed test. Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean pH level of the water in a nearby river is 6.8 which means the company’s claim was correct.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

i dont know

step-by-step explanation: