for normal hypothesis testing

1% level 1-tailed critical value of z = 2.326

2.531 > 2.236 so significant

i dont understand how they got 2.326

Printable View

- July 30th 2011, 05:07 AMthomasboatengcritical value
for normal hypothesis testing

1% level 1-tailed critical value of z = 2.326

2.531 > 2.236 so significant

i dont understand how they got 2.326 - July 30th 2011, 05:24 AMSpringFan25Re: critical value
we need more information than that to reprodruce the 2.326. Post the entire question and the working (if known) to get the answer.

- July 30th 2011, 07:15 AMthomasboatengRe: critical value
The farmer also grows onions. The weight in kilograms of the onions is Normally distributed

with mean 0.155 and variance 0.005. He is trying out a new variety, which he hopes will yield

a higher mean weight. In order to test this, he takes a random sample of 25 onions of the new

variety and ﬁnds that their total weight is 4.77 kg. You should assume that the weight in kilograms

of the new variety is Normally distributed with variance 0.005.

Carry out the test at the 1% level.

Mean weight = 4.77/25 = 0.1908

test statistic= (0.1908-0.155)/sqrt(0.005)*sqrt(25)=2.531

1% level 1-tailed critical value of z = 2.326

2.531 > 2.236 so significant.

There is sufficient evidence to reject H0 - July 30th 2011, 09:32 AMSironRe: critical value
Are you allowed to use a calculator(Ti-83?)? With 1-PropZtest you can compare the given p-value with the significance level (1%).

- July 30th 2011, 10:19 AMSpringFan25Re: critical valueQuote:

The farmer also grows onions. The weight in kilograms of the onions is Normally distributed

with mean 0.155 and variance 0.005. He is trying out a new variety, which he hopes will yield

a higher mean weight. In order to test this, he takes a random sample of 25 onions of the new

variety and ﬁnds that their total weight is 4.77 kg. You should assume that the weight in kilograms

of the new variety is Normally distributed with variance 0.005.

Carry out the test at the 1% level.

Mean weight = 4.77/25 = 0.1908

test statistic= (0.1908-0.155)/sqrt(0.005)*sqrt(25)=2.531

1% level 1-tailed critical value of z = 2.326

2.531 > 2.236 so significant.

There is sufficient evidence to reject H0

**1-tailed 1%**test so you should look at the 99% point.