(1300U40-1)

4

A company produces kettlebells whose weights are normally distributed with mean 16 kg

and standard deviation 0.08 kg.

a) Find the probability that the weight of a randomly selected kettlebell is greater than

16.05 kg. [2]

The company trials a new production method. It needs to check that the mean is still

16 kg. It assumes that the standard deviation is unchanged. The company takes a random

sample of 25 kettlebells and it decides to reject the new production method if the sample

mean does not round to 16 kg to the nearest 100 g.

b) Find the probability that the new production method will be rejected if, in fact, the

mean is still 16 kg.

The company decides instead to use a 5% significance test. A random sample of 25

kettlebells is selected and the mean is found to be 16.02 kg.

c) Carry out the test to determine whether or not the new production method will be

rejected

Please help, I'm trying so hard to understand this question and I only really understand part a. Is there anyone that can help explain it to me, I got an exam and I really want to ace it

4

A company produces kettlebells whose weights are normally distributed with mean 16 kg

and standard deviation 0.08 kg.

a) Find the probability that the weight of a randomly selected kettlebell is greater than

16.05 kg. [2]

The company trials a new production method. It needs to check that the mean is still

16 kg. It assumes that the standard deviation is unchanged. The company takes a random

sample of 25 kettlebells and it decides to reject the new production method if the sample

mean does not round to 16 kg to the nearest 100 g.

b) Find the probability that the new production method will be rejected if, in fact, the

mean is still 16 kg.

The company decides instead to use a 5% significance test. A random sample of 25

kettlebells is selected and the mean is found to be 16.02 kg.

c) Carry out the test to determine whether or not the new production method will be

rejected

Please help, I'm trying so hard to understand this question and I only really understand part a. Is there anyone that can help explain it to me, I got an exam and I really want to ace it

Original post by iamour

(1300U40-1)

4

A company produces kettlebells whose weights are normally distributed with mean 16 kg

and standard deviation 0.08 kg.

a) Find the probability that the weight of a randomly selected kettlebell is greater than

16.05 kg. [2]

The company trials a new production method. It needs to check that the mean is still

16 kg. It assumes that the standard deviation is unchanged. The company takes a random

sample of 25 kettlebells and it decides to reject the new production method if the sample

mean does not round to 16 kg to the nearest 100 g.

b) Find the probability that the new production method will be rejected if, in fact, the

mean is still 16 kg.

The company decides instead to use a 5% significance test. A random sample of 25

kettlebells is selected and the mean is found to be 16.02 kg.

c) Carry out the test to determine whether or not the new production method will be

rejected

Please help, I'm trying so hard to understand this question and I only really understand part a. Is there anyone that can help explain it to me, I got an exam and I really want to ace it

4

A company produces kettlebells whose weights are normally distributed with mean 16 kg

and standard deviation 0.08 kg.

a) Find the probability that the weight of a randomly selected kettlebell is greater than

16.05 kg. [2]

The company trials a new production method. It needs to check that the mean is still

16 kg. It assumes that the standard deviation is unchanged. The company takes a random

sample of 25 kettlebells and it decides to reject the new production method if the sample

mean does not round to 16 kg to the nearest 100 g.

b) Find the probability that the new production method will be rejected if, in fact, the

mean is still 16 kg.

The company decides instead to use a 5% significance test. A random sample of 25

kettlebells is selected and the mean is found to be 16.02 kg.

c) Carry out the test to determine whether or not the new production method will be

rejected

Please help, I'm trying so hard to understand this question and I only really understand part a. Is there anyone that can help explain it to me, I got an exam and I really want to ace it

Part b) onwards is pretty much the usual hypothesis test for the sample mean. You should have covered it, but some tlmathsvdioes at

https://sites.google.com/view/tlmaths/home/a-level-maths/full-a-level/o-hypothesis-testing/o3-sample-means-hypothesis-testing

Part b) is slightly different as you want to get something related to

P(15.95<X<16.05)

but thats similar to part a)

(edited 11 months ago)

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