A parachute company sells safety devices that are designed to fire, releasing the reserve parachute, at an average height of350.5 mwith a standard deviation of 12.3 m. The company recently upgraded the devices, which the lead engineer suspects has caused the standard deviation, o,decrease. Measure the heights at which devices are fired to obtain a random sample oftwoftheonpdated devices. The heights at which the devices fire have a sample standard deviation of8.9 m. Assume that the heights to which the upgraded devices shoot follow a normal distribution. Can the engineer conclude that the population standard deviation,o,is less than 12.3 m?To answer, complete the parts below to perform a hypothesis test. Use the significance level of 0.05. (a) Formulate the null hypothesish and the alternative hypothesish ,that you would use to perform the test. ho: 0 O S <口 OSO 0>0 020 0=0 00 X (b) Perform a chi-square test and find the p-value. This information will help you with your chi-square test: (no 1) yes • The value of the test statistic is given byx²= • The p-value is the area under the curve to the left of the value of the test statistic.

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Chi-square distribution
Step 1: Enter the number of degrees
of freedom.
Step 2: Select one queue or two
queues.
A tail
two tails
Step 3: Enter the test statistic.
(Round to 3 decimal places.
Step 4: Shade the area represented by
the p value.
Step 5: Enter the p- value.
(Round to 3 decimal places.
0.3 +
0.2-
0.1
5
10
fifteen
twenty
25
30
35
Transcribed Image Text:Chi-square distribution Step 1: Enter the number of degrees of freedom. Step 2: Select one queue or two queues. A tail two tails Step 3: Enter the test statistic. (Round to 3 decimal places. Step 4: Shade the area represented by the p value. Step 5: Enter the p- value. (Round to 3 decimal places. 0.3 + 0.2- 0.1 5 10 fifteen twenty 25 30 35
A parachute company sells safety devices that are designed to fire, releasing the reserve parachute, at an average height of350.5 mwith a standard deviation of
12.3 m. The company recently upgraded the devices, which the lead engineer suspects has caused the standard deviation,o,decrease. Measure the heights at
which devices are fired to obtain a random sample oftwoftheonpdated devices. The heights at which the devices fire have a sample standard deviation of8.9 m.
Assume that the heights to which the upgraded devices shoot follow a normal distribution.
Can the engineer conclude that the population standard deviation,o,is less than 12.3 m?To answer, complete the parts below to perform a hypothesis test. Use
the significance level of0.05.
(a) Formulate the null hypothesish and the alternative hypothesish that you would use to perform the test.
ho: 0
h₁:0
1:
O
O<O
●
ロミロ
X
S
OSO O>0
0=0 ☐#0
(b) Perform a chi-square test and find the p- value.
This information will help you with your chi-square test:
3
• The value of the test statistic is given byx
2_ (no 1) yes
0²
=
The p-value is the area under the curve to the left of the value of the test statistic.
Transcribed Image Text:A parachute company sells safety devices that are designed to fire, releasing the reserve parachute, at an average height of350.5 mwith a standard deviation of 12.3 m. The company recently upgraded the devices, which the lead engineer suspects has caused the standard deviation,o,decrease. Measure the heights at which devices are fired to obtain a random sample oftwoftheonpdated devices. The heights at which the devices fire have a sample standard deviation of8.9 m. Assume that the heights to which the upgraded devices shoot follow a normal distribution. Can the engineer conclude that the population standard deviation,o,is less than 12.3 m?To answer, complete the parts below to perform a hypothesis test. Use the significance level of0.05. (a) Formulate the null hypothesish and the alternative hypothesish that you would use to perform the test. ho: 0 h₁:0 1: O O<O ● ロミロ X S OSO O>0 0=0 ☐#0 (b) Perform a chi-square test and find the p- value. This information will help you with your chi-square test: 3 • The value of the test statistic is given byx 2_ (no 1) yes 0² = The p-value is the area under the curve to the left of the value of the test statistic.
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PART B - CURRENT ANSWER WRONG

Chi-square distribution
Step 1: Enter the number of degrees
of freedom.
19
Step 2: Select one queue or two
queues.
O A tail
two tails
Step 3: Enter the test statistic.
(Round to 3 decimal places.
9.948
Step 4: Shade the area represented by
the p value.
Step 5: Enter the p-value .
(Round to 3 decimal places.
0.046
0.3 +
0.2 +
0.1 +
Area = 0.046
x²
= 9,948
fifteen
twenty
25
30
35
Transcribed Image Text:Chi-square distribution Step 1: Enter the number of degrees of freedom. 19 Step 2: Select one queue or two queues. O A tail two tails Step 3: Enter the test statistic. (Round to 3 decimal places. 9.948 Step 4: Shade the area represented by the p value. Step 5: Enter the p-value . (Round to 3 decimal places. 0.046 0.3 + 0.2 + 0.1 + Area = 0.046 x² = 9,948 fifteen twenty 25 30 35
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