Mathematics: Dullco Manufacturing claims that its alkaline batteries last at least 40 hours on average in a certain type of portable CD player. But tests on a random sample of 18 batteries from a day s large production run showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours. To test DullCo s hypothesis, the p-value is

Please give more information...

Dullco Manufacturing claims that its alkaline

GusGus11

01.02.2022

The value is p- value = 0.041815

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 40 \ hours$

The sample size is n = 18

The sample mean is $\= x = 37.8 \ hours$

The standard deviation is $\sigma = 5.4\ hours$

The null hypothesis is $H_o : \mu = \ge 40$

The alternative hypothesis is $H_a : \mu < 40 \ hour s$

Generally the test statistic is mathematically evaluated as

$t= \frac{\= x - \mu}{ \frac{\sigma}{ \sqrt{n} } }$

$t= \frac{37.8 - 40}{ \frac{5.4}{ \sqrt{18 } }$

t= -1.73

From the z - table the p-value is obtained and the value is

p- value = P(Z < -1.73)

p- value = 0.041815

0,0(0 оценок)