Question

Step 1

**Standard normal distribution:**

The standard normal distribution is a special case of normal distribution. The standard normal distribution will have mean 0 and standard deviation 1. If a random variable *y *follows normal distribution with mean (m) and standard deviation (s), then the standard normal variable *z *will be as given below:

Step 2

**a.**

**Find the probability of x > 120:**

The random variable *x *(Amount of miraculin produced) follows normal distribution with mean 105.3 and standard deviation 8.0.

That is, *E*(*x*) = 105.3 and *S.D*(*x*) = 8.

The value of *P*(*x *> 120) is obtained as **0.03288** from the calculation given below:

Step 3

**b.**

**Find the probability of 100 < x < 110:**

The value of *P*(100 < *x *< 110) is obtained as **0.46777...**

Tagged in

Q: How are r and r2 interpreted?

A: In this question, we have to explain how we interpret r and r2

Q: I need help understanding observational units, variables, how to formulate research questions.

A: Solution:Observational units:Observational units are the objects or entities on which information co...

Q: Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone...

A: In this question we have the data, using which we have to plot the scatter plot and best line of fit...

Q: 1. Field tests if a low-calorie sport drink found that 80 of the 100 who tasted the beverage preferr...

A: Test whether there is enough evidence to conclude that the company should launch the product.State t...

Q: Lydia Hayward is an external research consultant hired by FirstCard, a major credit card company, to...

A: Correct Option D) This is a right-tailed test because the alternative hypothesis is Ha:μ1−μ2>0.Ex...

Q: What is needed to find a p value?

A: In hypothesis test we define the null hypothesis which is tested for possible rejection under the as...

Q: At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to o...

A: (a) Calculation of confidence interval:The 95% confidence interval (CI) of the sample mean for a lar...

Q: Use one of the following key terms to answer each of the following questions. KEY TERM BANK (separa...

A: Unvariate Analysis : When the analysis of data has only one variable in such cases we use Univariate...

Q: Consider the following multiple regression model : y hat = -6.72 + 0.51x1 - 0.69x2 + 1.452x...

A: The given multiple regression model is as follows:

Sorry about that. What wasn’t helpful?