Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus. The sample mean is x = 16.5 seconds. The alternative hypothesis for the significance test is .a. :μ≠18b. :μ=16.5.c. :μ<18.

Step-by-step explanation:

The alternate hypothesis use the sumbol for the population value

Let p be the proportion , Mean be and stadard deviation be

The null hypothesis states that population value is equal to the value mentioned in the given claim.

(by given).

The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )

∴

The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.

answer for #1 is c

answer for #2 is d

can i get brainliest

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;