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. 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 Họ, 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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.
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.
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: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. 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. 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.
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