Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? 2.42 Can it be concluded that the population mean is greater than 50? Yes b. With = 51, what is the value of the test statistic (to 2 decimals)? .97 Can it be concluded that the population mean is greater than 50? No c. With = 51.8, what is the value of the test statistic (to 2 decimals)? 1.65 Can it be concluded that the population mean is greater than 50? Yes

Step-by-step explanation:

From the question we are told that:

Null Hypothesis

Alternative Hypothesis

Sample size

standard deviation

Significance level

a)

Sample mean

Generally the equation for Test statistics is mathematically given by

Therefore from table

We conclude The value of test statistics is greater than critical value.

Therefore we Reject the Null hypothesis

b)

Sample mean

Generally the equation for Test statistics is mathematically given by

Therefore from table

We conclude,The value of test statistics is less than critical value.

Therefore we Fail to Reject the Null hypothesis

c)

Sample mean

Generally the equation for Test statistics is mathematically given by

Therefore from table

We conclude The value of test statistics is greater than critical value.

Therefore we Fail to Reject the Null hypothesis

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

step-by-step explanation: