Using skittle values listed below and a 0.01 significance level, test the claim that the mean...

Using skittle values listed below and a 0.01 significance level, test the claim that the mean number of candies in a bag of Skittles is more than 58.5. Show all the steps including:

a. the hypotheses with correct notation (4 points)

b. the requirements for performing the hypothesis test, along with discussing how they are met or not met…hint: the same one that wasn’t met above isn’t met here! (5 points)

c. the test statistic and supporting work (3 points)

d. the p-value (3 points)

e. the appropriate decision about the null hypothesis and an appropriate conclusion (4 points)

f. Also describe the Type I and Type II errors for this test. (6 points)

Skittles

Red: 1046

Orange: 1066

Yellow: 977

Green: 1029

Purple: 969

Total 5,087

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A 0.01 significance level is used for a hypothesis test of the claim that when parents...

A 0.01 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is different from 0.5. Assume that sample data consists of 78 girls in 169 births, so the sample statistic of six thirteenths results in a z score that is 1 standard deviation below 0. Complete parts (a) through (h) below. A . Identify the null hypothesis and the alternative hypothesis. Choose the...

A 0.01 significance level is used for a hypothesis test of the claim that when parents...

A 0.01 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is different from 0.5. Assume that sample data consists of 78 girls in 169 births, so the sample statistic of 6/13 results in a z score that is 1 standard deviation Complete parts (a) through (h) below a. identify the null hypothesis and alternative hypothesis. b. what is the value of a?...

A 0.01 significance level is used for a hypothesis test of the claim that when parents...

A 0.01 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender? selection, the proportion of baby girls is less than 0.5. Assume that sample data consists of 66 girls in 144 ?births, so the sample statistic of StartFraction 11 Over 24 EndFraction results in a z score that is 1 standard deviation below 0. Complete parts? (a) through? (h) below. Click here to view page 1 of the Normal...

Perform the indicated goodness-of-fit test. Use a significance level of 0.01 to test the claim that...

Perform the indicated goodness-of-fit test. Use a significance level of 0.01 to test the claim that workplace accidents are distributed on workdays as follows: Monday 25%, Tuesday: 15%, Wednesday: 15%, Thursday: 15%, and Friday: 30%. In a study of 100 workplace accidents, 25 occurred on a Monday, 17 occurred on a Tuesday, 16 occurred on a Wednesday, 12 occurred on a Thursday, and 30 occurred on a Friday

You wish to test the following claim a significance level of α = 0.01 . H...

You wish to test the following claim a significance level of α = 0.01 . H o : p = 0.44 H a : p ≠ 0.44 You obtain a sample of size n = 660 in which there are 275 successful observations. What is the test statistic for this sample? test statistic = ? Round to 3 decimal places. What is the p-value for this sample? P-value = ? Use Technology Round to 4 decimal places.

Test the claim about the population mean, mu, at the given level of significance using the...

Test the claim about the population mean, mu, at the given level of significance using the given sample statistics. Claim: mu: 50; alpha=0.03; sigmaequals3.63. Sample statistics: x overbarequals48.7, nequals69What are the critical values?

Test the claim about the population mean, μ, at the given level of significance using the...

Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ =30; α=0.05; σ =3.16. Sample statistics: x bar =28.1, n=59 Identify the null and alternative hypotheses. Calculate the standardized test statistic. Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. A. The critical values are plus or minus ? B. The critical value is ?

Test the claim about the population mean, muμ , at the given level of significance using...

Test the claim about the population mean, muμ , at the given level of significance using the given sample statistics. Claim: muμequals=4040 ; alphaαequals=0.060.06 ; sigmaσequals=3.873.87. Sample statistics: x overbarxequals=38.738.7 , nequals=7676 Identify the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0H0 : muμequals=4040 Upper H Subscript aHa : muμgreater than>4040 B. Upper H 0H0 : muμgreater than>4040 Upper H Subscript aHa : muμequals=4040 C. Upper H 0H0 : muμequals=4040 Upper H Subscript aHa :...

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. For the...

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd<0Ha:μd<0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 51 -25.8 49.5 51.4 56.5 110.7 35.5 22.7 45.2 67.4 46.8 27.1 41 10...

For the data below, test the significance of the t test statistic using a=0.01 and the...

For the data below, test the significance of the t test statistic using a=0.01 and the claim p=0. x: 3 5 12 9 7 6 8 10 11 4 y: 21 16 4 9 13 14 11 6 5 18

Subjects