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Mr Andrew is the owner of a small bakery in a large town. He believes that the smell of fresh baking will encourage customers to purchase goods from his bakery. To investigate this belief, he records the daily sales for 10 days when all the bakery's windows are open, and the daily sales for another 10 days when all the windows are closed. The following sales, in $, are recorded: 215.5 204.1 177.6 一 202.0 204.5 208.8 192.2 Window 207.0 190.8 215.6 193.5 187.8 185.7 оpen Windows 199.4 205.4 closed 200.6 181.8 169.2 172.2 192.8 Assuming that these data may be deemed to be random samples from normal populations with the same variance, investigate at the 0.05 level of significance the baker's belief.

Mr Andrew is the owner of a small bakery in a large town. He believes that the smell of fresh baking will encourage customers to purchase goods from his bakery. To investigate this belief, he records the daily sales for 10 days when all the bakery's windows are open, and the daily sales for another 10 days when all the windows are closed. The following sales, in $, are recorded: 215.5 204.1 177.6 一 202.0 204.5 208.8 192.2 Window 207.0 190.8 215.6 193.5 187.8 185.7 оpen Windows 199.4 205.4 closed 200.6 181.8 169.2 172.2 192.8 Assuming that these data may be deemed to be random samples from normal populations with the same variance, investigate at the 0.05 level of significance the baker's belief.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Mr Andrew is the owner of a small bakery in a large town. He believes that the smell of fresh baking will encourage customers to purchase goods from his bakery. To investigate this belief, he records the daily sales for 10 days when all the bakery's windows are open, and the daily sales for another 10 days when all the windows are closed. The following sales, in $, are recorded: Window (a) 202.0 204.5 207.0 215.5 190.8 215.6 204.1 177.6 185.7 205.4 208.8 187.8 орen Windows 193.5 192.2 199.4 closed 200.6 181.8 169.2 172.2 192.8 Assuming that these data may be deemed to be random samples from normal populations with the same variance, investigate at the 0.05 level of significance the baker's belief. (b) A professor wants to observe the time (in hours) students spent to study per day. A random sample of 25 students was taken from University A and 17 students from University B. The data was collected and the results as follows: University A , = 25 nz = 17 F, =1.10 X, =1.07 si = 0.015 s = 0.017 University B The professor claims that students in University A spent more time to study. (i) Test for the professor's claim at 5% level of significance. (ii) Find a 90% confidence interval on the difference between average time University A's and University B's students spent to study. (iii) Interpret the answer in (ii), based on the claim made by the professor.
Transcribed Image Text:Mr Andrew is the owner of a small bakery in a large town. He believes that the smell of fresh baking will encourage customers to purchase goods from his bakery. To investigate this belief, he records the daily sales for 10 days when all the bakery's windows are open, and the daily sales for another 10 days when all the windows are closed. The following sales, in $, are recorded: Window (a) 202.0 204.5 207.0 215.5 190.8 215.6 204.1 177.6 185.7 205.4 208.8 187.8 орen Windows 193.5 192.2 199.4 closed 200.6 181.8 169.2 172.2 192.8 Assuming that these data may be deemed to be random samples from normal populations with the same variance, investigate at the 0.05 level of significance the baker's belief. (b) A professor wants to observe the time (in hours) students spent to study per day. A random sample of 25 students was taken from University A and 17 students from University B. The data was collected and the results as follows: University A , = 25 nz = 17 F, =1.10 X, =1.07 si = 0.015 s = 0.017 University B The professor claims that students in University A spent more time to study. (i) Test for the professor's claim at 5% level of significance. (ii) Find a 90% confidence interval on the difference between average time University A's and University B's students spent to study. (iii) Interpret the answer in (ii), based on the claim made by the professor.
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