Answer:
Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.
Step-by-step explanation:
Let x be the no. of sales on Monday
We are given that On Tuesday Conrad had 3 times as many sales as on Monday.
So, Conrad had sales on Tuesday = 3x
We are also given that On Wednesday, he had 9 times as many sales as on Monday.
So, Conrad had sales on Wednesday = 9x
Over the three days, he had a total of 728 sales
So, x+3x+9x=728
13x=728
x=56
Conrad had sales on Tuesday = 3x =3(56)=168
Conrad had sales on Wednesday = 9x=9(56)=504
Hence Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.
Answer:
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)
Step-by-step explanation:
Our sample size is 11.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level and divide by 2. So:
Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So
Now, we multiply T and s
cm
For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is
cm
So
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).