Use a t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed. Claim: μ ≥8 300, α = 0.10
Sample statistics: x = 8000, s = 440, n = 24
A. What are the null and alternative hypotheses?
B. What is the value of the standardized test statistic?
C. What is the p-value?
D. Decide whether to reject or fail to reject the null hypothesis.

A

The null hypothesis is  

The  alternative hypothesis is  

B

C

D

 reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is  

    The sample mean is

     The  standard deviation is

      The sample size is  

       The  level of significance is  

The null hypothesis is  

The  alternative hypothesis is  

 The  test statistic is mathematically evaluated as

=>                  

=>                    

The p-value is obtained from the z -table ( reference calculator dot net ) , the value is

Looking at the values of   we see that   Hence we reject the null hypothesis  

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)