The quality manager at Bestiful Company is certifying a new process that must produce 95% (or better) good product before the process is considered proven. A sample of 40 containers from the process line are tested, and 93% are found to be good. Suppose the null hypothesis is formulated as: p = 95%, and the alternative hypothesis is formulated as: p < 95%. The significance level is set at α = 0.01. Calculate the p-value of the test. Please type your answer with 4 decimal places.

The calculated value Z= -0.5822

|z| = |-0.5822|< 2.576 at 0.01 level of significance

Hence null hypothesis is accepted

The quality manager at Restful Company is certifying a new process that must produce 95% (or better) good product

Step-by-step explanation:

Explanation:-

Step:-(i)

The Population proportion is P = 95% =0.95

A sample of 40 containers from the process line are tested, and 93% are found to be good

Sample size ( n) =40

The sample proportion 'p' = 0.93

Level of significance (α )= 0.01.

Null hypothesis:-p = 95%=0.95

Alternative hypothesis:- p≠0.95

The test statistic

                                            (i)

Step:(ii)

substitute all values in (i)

Z = -0.5822

The calculated value Z= -0.5822

|z| = |-0.5822|< 2.576 at 0.01 level of significance

Hence null hypothesis is accepted

Conclusion:-

The quality manager at Restful Company is certifying a new process that must produce 95% (or better) good product

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.