- Save & Exit Certify Lesson: 10.2 Hypothesis Testing for Popula.... Question 4 of 8, Step 3 of 3 A manufacturer must test that his bolts are 1.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 0.94 cm. He knows that the population standard deviation is 0.22 cm. Assuming a level of significance of 0.10, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 3 of 3: Draw a conclusion and interpret the decision. Answer 9/25 Correct CHRISTINA EAKES Tables We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm and the machines need to be recalibrated. © 2023 Hawkes Learning We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm and the machines need to be recalibrated. Keypad Keyboard Shortcuts MacBook Pro 2 We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm and the machines need to be recalibrated. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm and the machines need to be recalibrated. Submit Answer

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A manufacturer must test that his bolts are 1.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short.
After sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 0.94 cm. He knows that the population standard deviation is
0.22 cm. Assuming a level of significance of 0.10, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines?
Step 3 of 3: Draw a conclusion and interpret the decision.
Lesson: 10.2 Hypothesis Testing for Popula...
© 2023 Hawkes Learning
Z
We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from
O
1.00 cm and the machines need to be recalibrated.
We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from
1.00 cm and the machines need to be recalibrated.
W
S
We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm
and the machines need to be recalibrated.
X
We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm
and the machines need to be recalibrated.
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Transcribed Image Text:tab caps lock Inbox ← → C control Lesson 10.2 Hypothesis Testing X + learn.hawkeslearning.com/Portal/Lesson/lesson_certify#! ! - Save & Exit Certify option T Question 4 of 8, Step 3 of 3 A X Answer A manufacturer must test that his bolts are 1.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 0.94 cm. He knows that the population standard deviation is 0.22 cm. Assuming a level of significance of 0.10, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 3 of 3: Draw a conclusion and interpret the decision. Lesson: 10.2 Hypothesis Testing for Popula... © 2023 Hawkes Learning Z We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from O 1.00 cm and the machines need to be recalibrated. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm and the machines need to be recalibrated. W S We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm and the machines need to be recalibrated. X We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the mean length of the bolts is different from 1.00 cm and the machines need to be recalibrated. H command 3 E D C $ R F olo 50 % V 9/25 Correct T G <60 MacBook Pro B Y H & 7 C N * 00 8 J 1 M - O CHRISTINA EAKES K O 1 Tables H O Keypad Keyboard Shortcuts P command ✩ IO 2 A. Submit Answer I + 11 { option 11 ? I } V Update : ] delete .. retu
Expert Solution
Step 1

Given that

Sample size =49

Sample mean=0.94

Population standard deviation =0.22

Level of significance=0.10

Population mean=1 c.m 

We have to test hypothesis for the claim that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines :

 

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