Can someone please help me solve these by hand and not in excel so I can learn? Thank you.

At what age do babies learn to crawl? Does it take longer to learn in the winter when babies are often bundled in clothes that restrict their movement? Data were collected from parents who brought their babies into the University of Denver Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported the birth month and the age at which their child was first able to creep or crawl a distance of 4 feet within 1 minute. The resulting data were grouped by month of birth: January, May, and September:

Crawling age

Birth month

Mean

St. dev.

n

January

29.84

7.08

32

May

28.58

8.07

27

September

33.83

6.93

38

Crawling age is given in weeks. Assume the data represent three independent simple random samples, one from each of the three populations consisting of babies born in that particular month, and that the populations of crawling ages have Normal distributions.

A partial ANOVA table is given below.

Source

Sum of squares

DF

Mean square

F

Groups

505.26

Error

53.45

Total

Use data to answer A-E must show calculations for all please.

A) What is the value of the ANOVAFstatistic for testing the equality of the population means?

Is it A) 4.73 B) 9.45 C) 3.15 or D) 6.30

B) The null hypothesis for the ANOVAFtest is that the population mean crawling ages are equal for all three birth months. What is the alternative hypothesis?

a)

The three population mean crawling ages are all different from each other.

b)

Not all three population mean crawling ages are equal to each other.

c)

The population mean crawling age is larger for January than the other 2 months.

d)

The population mean crawling age is larger for May than the other 2 months.

C) Determine whether each of the following statements is true or false.

A)

This is a randomized, designed experiment.

B)

The data show no strong evidence of violating the assumption that the three populations have the same standard deviation.

C)

An ANOVA cannot be used on these data because the sample sizes are different.

D)

An ANOVA cannot be used on these data because the data show very strong evidence of non-Normal population distributions.

D) What are the degrees of freedom for the groups term? A) 94 B)3 C) 96 D)2

E) What are the degrees of freedom for the error term? A) 94 B) 2 C) 96 D) 3

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