# Hypothesis

A Baker says they can make a cake in 60 minutes from scratch, which I do not think he can.

After watching them 18 times I come up with the Mean time of 65.37 minutes with a standard deviation of 8.2 minutes

Using the Student's t Distribution because I have a small sample,

I'll let my null hypothesis be:

Ho: m = 60 and since I want to prove that his mean time is greater than the 60 minutes,

I'll set up my alternate hypothesis like this:

H1: Âµ > 60

If I find my sample "test statistic" and then test it against the critical value, I can determine, once and for all whether I can safely reject the bakers's claim.

I think that an alpha of 0.05 should be adequate.

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Input the key figures then indicate whether or not to reject Ho.

1. tc =

2. t =

3. Reject or Fail to reject Ho.

https://brainmass.com/statistics/hypothesis-testing/hypothesis-4993

#### Solution Preview

In this case, N=18, Sd=8.2, M=65.37

<br>So df=N-1=17 and ...

#### Solution Summary

A Baker says they can make a cake in 60 minutes from scratch, which I do not think he can.

After watching them 18 times I come up with the Mean time of 65.37 minutes with a standard deviation of 8.2 minutes

Using the Student's t Distribution because I have a small sample,

I'll let my null hypothesis be:

Ho: m = 60 and since I want to prove that his mean time is greater than the 60 minutes,

I'll set up my alternate hypothesis like this:

H1: Âµ > 60

--------------------------------------------

Input the key figures then indicate whether or not to reject Ho.

1. tc =

2. t =

3. Reject or Fail to reject Ho.