Question

A video producer wants to determine whether the 2 types of microelectric circuits it uses have the same flow rates. The research engineer has obtained the following data. Interpret the result at a 10% significance level. (Assuming the variances are not equal.)

	.	First design	Second Desingn
	Sample mean(X)	24.2	23.9
	Sample standard derivation(S)	3.16	4.47
	Number of observations(n)	15	12

b) A substance is used to increase the reaction rate at a chemical concentration. When the amount of this substance was added 1.5mol / L, the average reaction rate was found to be 7.5 Mmol / 30min and the standard deviation of 1.5 at the end of the trial 15 times. When the amount of substance was put in 2mol / L, the average reaction rate was found as 8.8Mmol / 30min and the standard deviation was 1.2 after 12 trials. Did increasing the amount of this substance increase the reaction rate by 0.5Mmol / 30min? Test at 99% confidence level, assuming that population variances are equal c) In order to investigate the effect of gender on the birth weight of the baby, birth weight information of 56 babies was obtained by sampling according to the classification among the birth information cards of babies born in 2016.

	baby boys	baby girls
Sample mean (Ẋ)	3.250 kg	3.400 kg
Sample standard deviation (S)	0.400	0.500
Number of observations (n)	28	28

d)Since it is known that it fits the normal distribution in both distributions, is there any difference between these two groups in terms of gender? First write the hypothesis and test it at the error level of α= 0.05 and interpret the results.

This is only one quesiton(i know the chegg policy) and this all information i got .

Please i want to learn this question so please dont do with excel

Answer 1

T critical value is taken from the students t table.