Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Hg. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Do not reject H. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal. O Do not reject Họ: There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
Reject Ho. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Reject Ho. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Do not reject Hp. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Do not reject Ho: There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ea199ac-d9f9-432f-8dc8-6b9e2b6778a5%2F1737a2c9-10a8-4c10-b087-cd136b4057ec%2Fpdvla9_processed.png&w=3840&q=75)
![To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The
results follow.
Temperature
50°C
60°C
70°C
34
30
22
23
31
29
37
35
29
39
24
31
27
25
34
Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
Source
Sum
Degrees
of Freedom
Mean
p-value
of Variation
of Squares
Square
Treatments
Error
Total
Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.
State the null and alternative hypotheses.
O Ho: H50°c = H60°C = H70°c
Hai H50°c * H60°c * H70°c
O Ho: Not all the population means are equal.
Hai H50°c - H60°c = 470°C
O Ho: At least two of the population means are equal.
: At least two of the population means are different.
O Ho: H50°c = H60°c = H70°C
: Not all the population means are equal.
O Ho: H50°c * H60°c * H70°c
H: P50°c - H60°c = 70°c](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ea199ac-d9f9-432f-8dc8-6b9e2b6778a5%2F1737a2c9-10a8-4c10-b087-cd136b4057ec%2Fy567n9_processed.png&w=3840&q=75)
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