and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
icon
Related questions
icon
Concept explainers
Topic Video
Question
A food distribution company claims that a restaurant
chain receives, on average, 26 pounds of fresh
vegetables on a daily basis. The standard deviation
of these shipments is known to be 4.4 pounds. The
district manager of the restaurant chain decides to
randomly sample 35 shipments from the company
and finds a mean weight of 24.7 pounds. Test at a 3%
level of significance to determine whether or not the
food distribution company sends less than 26 pounds
of fresh vegetables.
a. Check the TWO requirements that are
satisfied.
The Central Limit Theorem applies.
The a distribution is normal since
n > 30.
The a distribution is normal since the x
distribution is normal.
The p distribution is normal since
np > 5 and nq > 5.
Transcribed Image Text:A food distribution company claims that a restaurant chain receives, on average, 26 pounds of fresh vegetables on a daily basis. The standard deviation of these shipments is known to be 4.4 pounds. The district manager of the restaurant chain decides to randomly sample 35 shipments from the company and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables. a. Check the TWO requirements that are satisfied. The Central Limit Theorem applies. The a distribution is normal since n > 30. The a distribution is normal since the x distribution is normal. The p distribution is normal since np > 5 and nq > 5.
b. Identify the null and alternative hypotheses.
Ho: Select an answer v
?
HA: Select an answer
?
c. What type of hypothesis test should you
conduct?
| left-tailed
right-tailed
two-tailed
d. Identify the appropriate significance level.
Make sure to enter your answer as a decimal.
e. Find the test statistic. Give your answer to 2
decimal places.
f. Find the p-value. Give your answer to 4
decimal places.
g. Select your decision.
O reject the null hypothesis Ho, since p-
value < a
fail to reject the null hypothesis Ho,
since p-value > a
reject the null hypothesis Ho, since p-
value > a
fail to reject the null hypothesis Ho,
since p-value < a
h. Select the statement below that best
represents the interpretation of the findings.
There is sufficient evidence to support
the claim that the food distribution
company sends less than 26 pounds of
fresh vegetables daily.
| There is not sufficient evidence to
support the claim that the food
distribution company sends less than 26
pounds of fresh vegetables daily.
The sample data does not support but
also does not discredit that the food
distribution company sends 26 pounds of
fresh vegetables daily.
Transcribed Image Text:b. Identify the null and alternative hypotheses. Ho: Select an answer v ? HA: Select an answer ? c. What type of hypothesis test should you conduct? | left-tailed right-tailed two-tailed d. Identify the appropriate significance level. Make sure to enter your answer as a decimal. e. Find the test statistic. Give your answer to 2 decimal places. f. Find the p-value. Give your answer to 4 decimal places. g. Select your decision. O reject the null hypothesis Ho, since p- value < a fail to reject the null hypothesis Ho, since p-value > a reject the null hypothesis Ho, since p- value > a fail to reject the null hypothesis Ho, since p-value < a h. Select the statement below that best represents the interpretation of the findings. There is sufficient evidence to support the claim that the food distribution company sends less than 26 pounds of fresh vegetables daily. | There is not sufficient evidence to support the claim that the food distribution company sends less than 26 pounds of fresh vegetables daily. The sample data does not support but also does not discredit that the food distribution company sends 26 pounds of fresh vegetables daily.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill