Question

A sunscreen company is attempting to improve upon their formula so that it lasts in water longer. They have 4 lead scientists who each came up with a different formulas. In order to see if there is a difference in the time the sunscreen lasts the CEO collects a random sample of each of the four sunscreens the data is shown below. Test the claim that at least one sunscreen has a different lifespan in water at a 0.05 level of significance.

Sunscreen A	Sunscreen B	Sunscreen C	Sunscreen D
81	80	39	45
42	31	54	56
88	63	31	59
57	49	59	68
60	63	67	52
60	62	50	85

The hypotheses for this ANOVA test would be:

H0:μA=μB=μC=μDH0:μA=μB=μC=μD

HA:HA: At least one mean is different. (claim)

α=0.05α=0.05

Complete the ANOVA table below: (round answers to 3 decimal places)

	SS	df	MS	F	p-value
Between
Within

The decision of the test is to:

• reject H0H0
• do not reject H0H0

The final conclusion is:

• There is not enough evidence to support the claim that at least one sunscreen lasts a different amount of time.
• There is enough evidence to reject the claim that at least one sunscreen lasts a different amount of time.
• There is enough evidence to support the claim that at least one sunscreen lasts a different amount of time.
• There is not enough evidence to reject the claim that at least one sunscreen lasts a different amount of time

A school district has four schools, six class in from each school were randomly selected and the number of students in the class were recorded. Test the claim that at least one school has a different class size at a 0.10 level of significance.

School A	School B	School C	School D
42	46	30	34
32	34	37	32
31	42	33	27
44	39	32	25
25	30	35	22
38	48	36	21

The hypotheses for this ANOVA test would be:

H0:μA=μB=μC=μDH0:μA=μB=μC=μD

HA:HA: At least one mean is different. (claim)

α=0.10α=0.10

Complete the ANOVA table below: (round answers to 3 decimal places)

	SS	df	MS	F	p-value
Between
Within

A sunscreen company is attempting to improve upon their formula so that it lasts in water longer. They have 4 lead scientists who each came up with a different formulas. In order to see if there is a difference in the time the sunscreen lasts the CEO collects a random sample of each of the four sunscreens the data is shown below. Test the claim that at least one sunscreen has a different lifespan in water at a 0.05 level of significance.

Sunscreen A	Sunscreen B	Sunscreen C	Sunscreen D
85	46	36	76
55	69	54	69
41	54	43	76
69	59	65	80
79	31	31	50
72	54	55	84

The hypotheses for this ANOVA test would be:

H0:μA=μB=μC=μDH0:μA=μB=μC=μD

HA:HA: At least one mean is different. (claim)

α=0.05α=0.05

Complete the ANOVA table below: (round answers to 3 decimal places)

	SS	df	MS	F	p-value
Between
Within

Answer 1

( 1 )

For the given data using Anova single factor in Excel we get output as

( 2 )

For the given data using Anova single factor in Excel we get output as

( 3 )

For the given data using Anova single factor in Excel we get output as