Sam ple Diff. Std. Err. -0.754246 0.192151 0002, 0.0004, 0.9998 a the mean battery life for the two phones. Use a significance
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Two of the hottest smartphones on the market are the newly released iPhone6 and the Samsung Galaxy S6. CNet.com offers online reviews of all major cell phones, including battery life tests. In a review of the iPhone6, the talk-time battery
life of 35 iPhones was measured. Similarly, the talk-time battery life of 30 Galaxy S6s was measured.
Two outputs are given below. Which is appropriate for analyzing the data collected?
Output 1
lhi Mean of iPhone6
Hz : Mean of Galaxy S6
Sam ple Diff.
Output 2
HR = mean of the paired difference between iPhone6
and Galaxy S6
Difference
Std. Err.
Difference
Sam ple Diff.
Std. Err.
H1 - Hz
-0.71759861
0.189403
iPhone6 - Galaxy S6
-0.754246
0.192151
Possible p-values: 0.0001, 0.0002, 0.9999
Possible p-values: 0.0002, 0.0004, 0.9998
OOutput 1
Output 2
Using the StatCrunch output chosen above, determine if there is a difference in the mean battery life for the two phones. Use a significance level of 0.01 when conducting the test.
• Select the appropriate hypotheses. Make sure the notation used in the hypotheses agrees with the type of samples selected in the output.
H,: Ha = 0 H,Hd = 0 Ho:µ1
H.: Hd + 0 Ha: Hd < 0 _Ha÷µı 7 42 Ha: H1 < Hz Ha:Hd > 0 Hg:µ1 > µ2
= µ2 H.: µ1 = µ2 H.: Hd = 0 H.:µ1 = µ2
a =
reject H, if probability ? 0
• TS: t=
• probability =
(make sure you reference the probabilities in the output you selected in the first question)
• decision: Select an answer O
• At the 0.01 level, there Select an answer O significant evidence to conclude the mean battery life for an iPhone 6 is ( Select an answer a than the mean for a Galaxy S6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9fcd005-96cb-402f-be41-d90073e7d12b%2F9c73e333-a1e2-47a3-a8e3-442e73a2e99b%2F457gl1t_processed.png&w=3840&q=75)
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