Question

Asked Jun 5, 2019

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Number 5 Please, Explain shortcut with TI84 if applicable

Step 1

Given claim that average age of scion driver = 26

Null hypothesis H_{0} : µ = 26

Alternative hypothesis H_{a} : µ ≠ 26

Given

Sample size = 18

Sample mean = 27.5

Standard deviation = 2.3

Since the population standard deviation is given we use the Z distribution to find the confidence interval.

For 95% confidence interval alpha = level of significance = 0.05

First in Ti-84

First select STAT and the select TESTS ad selectthe Z-interval (option 7)

Under INput select STATS as we know all statistics to calculate the cofidence interval.

Enter

population standard deviation σ = 2.3

sample mean xbar = 27.5

sample size n = 12

C.level = 0.95 (since we need 95% confidence interval) and then highlight calculate and press enter.

The 95% confidence interval for average age of scion driver is (26.44, 28.56)

Step 2

Toyota claim is that average age of scion driver is 26 years. But the 95% confidence interval is from (26.44 , 28.56) whi...

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