Question

SECTION - BThe mean life of a sample of 10 electric bulbs wasfound to be 1456 hours with a standard deviationof 423 hours. A second sample of 17 bulbs chosenfrom a different batch showed a mean life of 1280hours with a standard deviation of 398 hours. Isthere a significant difference between the meansof the two batches ?​

Answer 1

Answer:

SECTION - BThe mean life of a sample of 10 electric bulbs wasfound to be 1456 hours with a standard deviationof 423 hours. A second sample of 17 bulbs chosenfrom a different batch showed a mean life of 1280hours with a standard deviation of 398 hours. Isthere a significant difference between the meansof the two batches ?

Answer 2

Answer:

Yes, there is a significant difference of $\bold{176\,\, hours}$  between the means of two batches.

Step-by-step explanation:

For the first sample:

We are given that-

$n=10$

$\mu=1456$

$s=423$

where $n$ is the number of observations, $\mu$ is the population mean and $s$ is the standard deviation of the first sample.

For the second sample:

We are given that-

$n=17$

$\mu=1280$

$s=398$

where $n$ is the number of observations, $\mu$ is the population mean and $s$ is the standard deviation of the second sample.

Now the difference in means of both samples are:

Mean = $1456-1280=176$

Hence, there is a significant difference of $\bold{176\,\, hours}$  between the means of two batches.

Learn More:

https://brainly.in/question/42535495

https://brainly.in/question/17197510