In April 2025
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Rashmi Dhar, manufacturer, and seller of ‘Kashmiri – Kahwa’ through E-commerce websites.
She wanted to know the effect of her spending in advertisement of ‘Kahwa’ on the sales, along with the other factors; ‘number of sales representatives’, ‘customer-satisfaction ratings’. For this research she has gathered the sales data in the following table, along with other necessary information.
Part 1) Run regression analysis
Part 2) Write the interpretation of Regression statistics-table, ANOVA-table.
Region
Sales of Kahwa (in INR)
Spending in advertise (in INR)
Number of sales representatives (person)
Customer-satisfaction ratings (1=highly dissatisfied to 5 = highly satisfied)
Kupwara
55328
5512
1
1
Badgam
56251
8337
1
1
Leh-ladakh
57126
8788
4
1
Kargil
58739
8828
5
1
Punch
66984
9050
5
2
Rajouri
70676
10150
7
2
Kathau
73206
11236
8
2
Baramula
80571
12538
8
3
Bandipore
93168
13161
8
3
Srinagar
99432
13448
9
4
An average tire used by a transportation company lasts 20,000 km with a standard deviation
of 100 km. Assuming that the distance traveled by a tire is normally distributed, what is the
probability that a tire used by the company will last at most 30,000 km?
A researcher claims that the average salary of a private school teacher is greater than P35,000 with
a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the
claim of the researcher. At 0.05 level of significance, test the claim of the researcher.
A researcher claims that the average salary of a private school teacher is greater than P35,000 with
a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the
claim of the researcher. At 0.05 level of significance, test the claim of the researcher.
A researcher claims that the average salary of a private school teacher is greater than P35,000 with
a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the
claim of the researcher. At 0.05 level of significance, test the claim of the researcher.
A researcher claims that the average salary of a private school teacher is greater than P35,000 with
a standard deviation of P7,000. A sample of 35 teachers has a mean salary of P37,000. Test the
claim of the researcher. At 0.05 level of significance, test the claim of the researcher.
Directions: Read the problems below and do what is asked. Write your answers on a separate sheet of paper.
2. The average zone of inhibition (in mm) for mouthwash L as tested by the medical technology students has been known to be 9mm. A random sample of 10 mouthwash L was tested and the test yielded an average zone of inhibition of 7.5mm with a variance of 25 mm. Is there enough reason to believe that the anti-bacterial property of the mouthwash has decreased? Test the hypothesis that the average zone of inhibition of the mouthwash is no less than 9mm using 0.05 level of significance.
A. State the hypotheses.
B. Determine the test statistic to use.
C. Determine the level of significance, critical value, and the decision rule.
D. Compute the value of the test statistic.
E. Make a decision.
F. Draw a conclusion.
Random samples with size 4 are drawn from the population containing the values 14, 19, 26, 31, 48 and 53
Directions: Read the problems below and do what is asked. Write your answers on a separate sheet of paper.
1. The records of SCA Registrar show that the average final grade in Mathematics for STEM students is 91 with a standard deviation of 3. A group of student-researchers found out that the average final grade of 37 randomly selected STEM students in Mathematics is no longer 91. Use 0.05 level of significance to test the hypothesis and a sample mean within the range of 88 to 94 only.
A. State the hypotheses.
B. Determine the test statistic to use.
C. Determine the level of significance, critical value, and the decision rule.
D. Compute the value of the test statistic.
E. Make a decision.
F. Draw a conclusion.
- An average tire used by a transportation company lasts 20,000 km with a standard deviation of 100 km. Assuming that the distance traveled by a tire is normally distributed, what is the probability that a tire used by the company will last at most 30,000 km?
