It was found that a certain type of battery supercharger takes an average of 15.4minutes to charge the battery of a standard electric vehicle. Recently, the firmware for this type of supercharger was updated but the update has received negative reviews from users. A researcher suspects that the average time it takes for upgraded superchargers to charge a standard EV battery is longer than 15.4minutes. To test his claim, choosefifferandomly upgraded superchargers and measures the time each takes to charge a standard EV battery. Find that superchargers take a sample mean of16.1 minutes to charge a standard EV battery, with a sample standard deviation of 1.8minutes. Assume that the population of the amounts of time that upgraded superchargers take to charge a standard EV battery approximately follows a normal distribution. Complete the parts below to perform a hypothesis test to determine if there is sufficient evidence, at the significance level of0.05, to support the claim that, the average time it takes for upgraded superchargers to charge a standard EV battery is more than 15.4minutes. (a) Formulate the null hypothesish and the alternative hypothesish that you will use in the test. ho: ☐ H 0<0 X X 020 0=0 (b) Carry out a test and find thep-value. This information is used to perform the test.you OSO 0>0 S

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Author:Amos Gilat
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It was found that a certain type of battery supercharger takes an average of15.4minutes to charge the battery of a standard electric vehicle. Recently, the
firmware for this type of supercharger was updated but the update has received negative reviews from users. A researcher suspects that the average time it
takes for upgraded superchargers to charge a standard EV battery is longer than 15.4minutes. To test his claim, choosefiftferandomly upgraded superchargers
and measures the time each takes to charge a standard EV battery. Find that superchargers take a sample mean of 16.1 minutes to charge a standard EV battery,
with a sample standard deviation of 1.8minutes. Assume that the population of the amounts of time that upgraded superchargers take to charge a standard EV
battery approximately follows a normal distribution.
Complete the parts below to perform a hypothesis test to determine if there is sufficient evidence, at the significance level of0.05, to support the claim thatμ,the
average time it takes for upgraded superchargers to charge a standard EV battery is more than 15.4minutes.
(a) Formulate the null hypothesish and the alternative hypothesish that you will use in the test.
ho: D
h₁: 0
μ
O<O OSO
ロミロ
X
(b) Carry out a testjand find thep-value.
This information is used to perform the test.y.ou
XI
0=0 ☐#0
x-μ
• The value of the test statistic is given byvat
O<O
S
Transcribed Image Text:It was found that a certain type of battery supercharger takes an average of15.4minutes to charge the battery of a standard electric vehicle. Recently, the firmware for this type of supercharger was updated but the update has received negative reviews from users. A researcher suspects that the average time it takes for upgraded superchargers to charge a standard EV battery is longer than 15.4minutes. To test his claim, choosefiftferandomly upgraded superchargers and measures the time each takes to charge a standard EV battery. Find that superchargers take a sample mean of 16.1 minutes to charge a standard EV battery, with a sample standard deviation of 1.8minutes. Assume that the population of the amounts of time that upgraded superchargers take to charge a standard EV battery approximately follows a normal distribution. Complete the parts below to perform a hypothesis test to determine if there is sufficient evidence, at the significance level of0.05, to support the claim thatμ,the average time it takes for upgraded superchargers to charge a standard EV battery is more than 15.4minutes. (a) Formulate the null hypothesish and the alternative hypothesish that you will use in the test. ho: D h₁: 0 μ O<O OSO ロミロ X (b) Carry out a testjand find thep-value. This information is used to perform the test.y.ou XI 0=0 ☐#0 x-μ • The value of the test statistic is given byvat O<O S
• The value of the test statistic is given byyou
Student's t distribution
no
• The p- value is the area under the curve to the right of the value of the test statistic.
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.
χ-μ
Step 4: Shade the area represented by
the p value.
Step 5: Enter the p- value.
(Round to 3 decimal places.
yes
0.4+
0.3
0.2-
0.1+
Transcribed Image Text:• The value of the test statistic is given byyou Student's t distribution no • The p- value is the area under the curve to the right of the value of the test statistic. 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. χ-μ Step 4: Shade the area represented by the p value. Step 5: Enter the p- value. (Round to 3 decimal places. yes 0.4+ 0.3 0.2- 0.1+
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