1) If 4 samples from 4 populations are given, then what is the probability of getting at least one Type 1 error at 99% confidence interval ?

2) If 4 samples from 4 populations are given, then what is the probability of no Type 1 error at 99% confidence interval?

3) Pepsi Co. Pvt Ltd is planning to produce a new energy drink. For this purpose, a pilot study was conducted using four different energy drinks formula. They were tested on 3 different sets of people and the reactions in energy level of the people were measured forming four groups. Using the data (measured energy level values) provided below, test whether there is difference in the four energy drinks. Perform this by finding F ratio. Whatis F ratioat 95% CI?. The data is as shown in Table1.

Formula 1 Formula 2 Formula 3 Formula 4

84 26 13 38

65 42 32 25

70 52 45 37

4) Pepsi Co. Pvt Ltd is planning to produce a new energy drink. For this purpose, a pilot study was conducted using four different energy drinks formula. They were tested on 3 different sets of people and the reactions in energy level of the people were measured forming four groups. Using the data (measured energy level values) provided below, test whether there is difference in the four energy drinks. Perform this by finding F ratio. Whatis F critical , i.e. Fc at 95% CI?. The data is as shown in Table1.

Formula 1 Formula 2 Formula 3 Formula 4

84 26 13 38

65 42 32 25

70 52 45 37

5) Mr. Ali runs a gift shop in the Defense area, Karachi. He advertises weekly in the local newspapers and is considering increasing his advertising budget. Before doing so, he decides to evaluate the past effectiveness of these advertisements. Five weeks are sampled, and the advertising expenses (in PKR) and sales volume for each is shown in the Table 2.What iscorrelation coefficient value.

S.NO. Sales (PKR 100) Advertising(PKR 100)

1.00 4.00 4.10

2.00 7.00 6.72

3.00 6.00 5.05

4.00 8.00 7.26

5.00 4.00 2.69

6) Mr. Ali runs a gift shop in the Defense area, Karachi. He advertises weekly in the local newspapers and is considering increasing his advertising budget. Before doing so, he decides to evaluate the past effectiveness of these advertisements. Five weeks are sampled, and the advertising expenses (in PKR) and sales volume for each is shown in the Table 2. Develop a regression equation that would help Mr. Ali evaluate his advertising. Find slope value.

S.NO. Sales (PKR 100) Advertising(PKR 100)

1.00 4.00 4.10

2.00 7.00 6.72

3.00 6.00 5.05

4.00 8.00 7.26

5.00 4.00 2.69

7) Mr. Ali runs a gift shop in the Defense area, Karachi. He advertises weekly in the local newspapers and is considering increasing his advertising budget. Before doing so, he decides to evaluate the past effectiveness of these advertisements. Five weeks are sampled, and the advertising expenses (in PKR) and sales volume for each is shown in the Table 2. Develop a regression equation that would help Mr. Ali evaluate his advertising. Find constant value.

S.NO. Sales (PKR 100) Advertising(PKR 100)

1.00 4.00 4.10

2.00 7.00 6.72

3.00 6.00 5.05

4.00 8.00 7.26

5.00 4.00 2.69