A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minutes each day until they give birth. After 5 years, the child is administered an IQ test. It is known that IQs are normally distributed with a mean of 100. If the IQs of the 20 children in the study result in a sample mean of 104.3 and sample standard deviation of 14.3, is there evidence that the children have higher IQs? Use the α = 0.10 level of significance. What type of hypothesis test is appropriate to conduct for this research? OA. Hypothesis test on a population standard deviation OB. Hypothesis test on a population mean OC. Hypothesis test on a population proportion Determine the null and alternative hypotheses. Ho: …….. H₁: (Type integers or decimals. Do not round.)

A: Given mean is 5.9 and standard deviation 6.3 sample size is 5

A: Given Information: Mean = 78 Standard deviation = 3 Student received a score of 82 i.e., X = 82…

A:

A: Given that.   X~N( μ , ?^2 )   μ=100     , ?=25  , n=60   Z-score =( x - μ )/?

A: The z-score for John's at age 5 is, z=x-μσ=44-431.8=11.8=0.556 Thus, the z-score for John's at age 5…

A: Consider X be a random variable which follows normal distribution indicating the score earned on a…

A:

A:

A: From the given information, the mean and standard deviation are 1,369 and 171.

A: The data set of ages is25,27,20,21,29sample size(n)=5

A: Null hypothesis: H0 : μ = 5700 Alternative hypothesis: H1 : μ >5700 Obtain the test statistic…

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

A:

A: From the provided information, Mean (µ) = 175 Standard deviation (σ) = 10 X~N (175, 10) Here X be a…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 230 and…