A poultry farm sells eggs classified as large, which requires the mean weight of the individual eggs to be 2 oz. The department of weights and measures weighs a random sample of 500 eggs to determine if the mean weight is less than 2 oz at a significance level of 0.05. The results of the sample are given below. Egg weight Mean 2.0029342 Variance 0.0037364 Observations 500 Hypothesized Mean df 499 t Stat 1.0733641 P(T<=t) one-tail t Critical one-tail 0.1418133 1.647913 P(T<=t) two-tail t Critical two-tail 0.2836266 -2 -1 1 3 1.9647294 t-statistic = Ex: 1.9543 p-value = Ex: 0.1845 than the significance level 0.05, the null hypothesis Pick Since the p-value is Pick greater less Sufficient evidence * exist that the mean weight of the eggs is less than 2 oz.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question

Please answer all parts

t - statistic =

p - value =

Last parts, the options are:

- P Value : greater than OR Less than

- Null hypothesis: Fails to be rejected or Is rejected

- Mea: Sufficient evidence does OR does not exist

A poultry farm sells eggs classified as large, which requires the mean weight of the individual eggs to be 2 oz. The
department of weights and measures weighs a random sample of 500 eggs to determine if the mean weight is
less than 2 oz at a significance level of 0.05. The results of the sample are given below.
Egg weight
Mean
2.0029342
Variance
0.0037364
Observations
500
Hypothesized Mean
2
df
499
t Stat
1.0733641
P(T<=t) one-tail
t Critical one-tail
0.1418133
1.647913
P(T<=t) two-tail
t Critical two-tail
0.2836266
-3
-2
-1
1
2
3
1.9647294
t-statistic = Ex: 1.9543
p-value = Ex: 0.1845
Since the p-value is Pick
greater
|less
than the significance level 0.05, the null hypothesis Pick
Sufficient evidence
exist that the mean weight of the eggs is less than 2 oz.
Transcribed Image Text:A poultry farm sells eggs classified as large, which requires the mean weight of the individual eggs to be 2 oz. The department of weights and measures weighs a random sample of 500 eggs to determine if the mean weight is less than 2 oz at a significance level of 0.05. The results of the sample are given below. Egg weight Mean 2.0029342 Variance 0.0037364 Observations 500 Hypothesized Mean 2 df 499 t Stat 1.0733641 P(T<=t) one-tail t Critical one-tail 0.1418133 1.647913 P(T<=t) two-tail t Critical two-tail 0.2836266 -3 -2 -1 1 2 3 1.9647294 t-statistic = Ex: 1.9543 p-value = Ex: 0.1845 Since the p-value is Pick greater |less than the significance level 0.05, the null hypothesis Pick Sufficient evidence exist that the mean weight of the eggs is less than 2 oz.
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