Question

Asked Nov 19, 2019

194 views

The average final exam score for the statistics course is 81%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.

65, 78, 57, 77, 89, 62, 75, 63, 68, 86, 57, 76, 72

What can be concluded at the α = 0.05 level of significance level of

- The test statistic ? t z = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)

significance?

1 Rating

Step 1

**Introduction:**

The null and alternative hypotheses are as follows:

H0: *μ* = 81, vs. H1: *μ* ≠ 81.

When the population standard deviation is unknown and the sample standard deviation must be used in a test to determine whether the true population mean is equal to a given constant, then the *t*-test must be used.

The test statistic is of the form:

...Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: The recidivism rate for convicted sex offenders is 13%. A warden suspects that this percent is lower...

A: Introduction:Denote p as the true recidivism rate of sex offenders, who are also drug addicts.The nu...

Q: A survey of 100 americans found that 68% said they find it hard to buy holiday gifts that convey the...

A: It is given that, p hat is 0.68 and the sample size (n) is 100. The level of confidence is 0.90.

Q: The average production cost for major movies is 60 million dollars and the standard deviation is 22 ...

A: Standard normal distribution:The standard normal distribution is a special case of normal distributi...

Q: 9.78 Parts A B and C

A: (a)Let p denotes the population proportion of the available jurors on the list who are women. The te...

Q: The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and ...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: The average amount of money spent for lunch per person in the college cafeteria is $7.37 and the sta...

A: The provided information are:

Q: Usually what is Ho in a one way chi square?

A: The one way chi-square test is also known as chi-square goodness of fit test. It is used to compare ...

Q: The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and ...

A: It is given that the mean and standard deviation are 17 and 6, respectively.

Q: find the critical value t of alpha over 2 used to construct the confidence interval for a mean from...

A: It is given that n is 5 and level of significance is 0.02.